Íîâàÿ êîäîâàÿ øïàðãàëêà ïî ìàòåìàòèêå äëÿ ÅÍÒ 2013

Íîâàÿ êîäîâàÿ øïàðãàëêà ïî ìàòåìàòèêå äëÿ ÅÍÒ 2013

0●(π/4+πn) |sinx+cosx=0| 0●π/4+πn |sinx–cosx=0| 0●π/2+2πn<x<3π/2+2πn,n*Z |cosx<0|

0●1

0●1 f(x)-ex–e-x/ex+-x

0●1/k•F(kx+b)

0●2 |π ∫ 0 sin xdx|

0●2 (y=sinx [0; x]

0●√2-1

0●√2-1 (y=sinx ,y=cosx, x=0)

Sin, cos)

0●(ab)² 0●2π/3+2πk; 4π/3+2πê |cos<0| 0●2πn<x<n+2πn |sin>0|

0●π;0

0●e y=lnx/x, x≠0

0●xmax=π/4

00●0 y=cosx â òî÷êå (0;0)

00●a¹2πn, nÎz |a∫0 sin xdx>0|

00●|a-b|

00●2πn<x<π/2+2πn

00●–π/2+πn<x<2πn

00●(2πn; π/2+2πn)

00●2πk<x<π/2+2πk

00●–π/2+2πk<x<2πk

00●(a–b)/3

00●√b²–a²/b

00●y=x

00●π/4 |f(x)=ex, x0=0|

00●πn≤x≤π/4+πn,n*Z {sin2x≥0 sin2x≥0

00●π/2+2πn≤x≤π+2πn,n*Z {sinx≥0 cosx≤0

00●–π/2+2πn<x<2πn,n*Z {sinx<0 cosx>0

00●0+2πn, n*z {sinx≤0 tgx≥0

00●2πn<x<π/2+2πn,n*Z {sinx>0 cosx>0

00●π/2+2πn<x<π+2πn |sinx>0/cos<0|

00●(2πn; π/2+2πn),n*Z {tgx>0 sinx>0

00●íåò ðåøåíèé {tgx>0 sinx<0

A-b)

00●a≠2πn, n*z

00●logaxP=plogax;

loga(xy)=logax+logay;

loga (x/y)=logax-logay

00●ó=õ [ó=sinõ]

00●y=x (y=sinx)

00001630001254●10–23

0000625000000128225●–2

Õ105

0000001251810●–5

0001●a<b

00010010200500901●5

00013772●3,772

00016481812…●1/20

000325●3

00034017●1/50

000421042000500072012●20,1

ÍÍ3)

ÍÍ1)

Ð1)

HH1b)

00044004000611111●–446

0008099●1,6

0008099250614●1,6.

001●π/2 |y=√x, y=0, x=0, x=1|

0011●a=b

Xy

00162007530027●2²•10–6

002●π |y=√sinx, y=0, x=0, x=π/2|

00211211123163020●31,5

00212200●3

002211●[0;2]

002242497249242490150230●10,5

0023152122030●7

0023320●3√2/2

002520042●1/2

0025243222030●–8

00254352..●–2;–1;3

00269233020●14

00313212200●2,6

0032●y=3/2,x+ln2

003200012022●36

0032080865122408●0,5

0032100●3

0032733813030●12

0033●π/3

0034120●(õ–2)²+(ó–1,5)²=6,25 (Ñîñò óðàâ îêðóæ)

0034120●(x–1)²+(y–1)²=1 |øåíá òåíä|

0034125162050●4

004200●–10;10

004200009●316•10–4

0042000009210●1

004016001300081625225●0

004240●–10;10

0043300430008●0,2

004528625●2<x<3

005113●0; 1/3; |–0,5|; |–1|

005170125●2,8.

00550084009300120012●5x³+8x²+9x–1

0050055006●z<y<x

006●(√3/3–π/6)π |y=tgx, y=0, x=0, x=π/6|

006●1/2

006●1/2. |y=cosx, y=0, x=0, x=π/6|

006●6% (Âûð äðîáü 0,06 %)

006251851628●2/5

007030302●0,00703

00762572030●5

008099●1,6

008099250614●1,6

008668●14 (ïëîù ∆ ÀÂÑ)

009●1/6

00920120042510●0,25

0092922112622030●(–3; 5)

01●π/4+2πn<x<π/2+2πn,n*Z |sinx≥0;tgx>1|

01●a=π/2+2πn,n*Z

01●y=x–1

01●π/2 | ó=√õ, ó=0, õ=1 âû÷ îá ôèã |

01●–1/4 |y(x)=x–√x; (0;1) åí êøè ìàí

01●–1/4

010●1/kF(kx+b)

010●x=n n*Z

K12

010●π/k12 k*Z

010●a≠2πn n*Z

A-b)

0100●√b²–a²/b

0100●a≠2πn n*Z

0100●π/4

01000128160●x≤3

010008099250614●1,6

01001004002202●22

01000128160●x≤3

0100110030001001●50

01002211●[0;2]

010034120●(x-1)²+(y-1)²=1

01004240●–10;10

01004528625●2<x<3

01005170125●2,8

01005500840●5x²+8x²+9x-1

0101112●a<b<c

01012●(–π/2+2πn; –π/3+2πn]

U[π/3+2πn; π/2+…)

01012●11/90

Ln2

01012050502●3

0101212232●3

0101242●y=–2x+3

010125025191625●918

010012522●–a³bc³x

010012542328●x=6

Frac14;

010014●y=5x-3

0101112●a<b<c

01015●15

01015●7/45

0101744005●0,0147

010416169●2√10

01041171170010044●1

Íåò êîðíåé

011●2/3 | 0 ∫ –1√x+1dx |

011●….. cosα

011●å–1/å

0110●õ=3

011000●1000,1 |(0,1x)lgx=1000x|

011000●99,1

0110192●y=7x+1

01103●0,01;100

01103●0,01;100 (lg(0,1x)lg(10x)=3)

01103●0,001;100

Ln4

0111●–1:2

011110●(–1;2–1)

0112●ó=–2õ+3

011213●2/9

011213●–2/9 |0 ∫ –1 1/(2x–1)³ dx|

011222212002●8

01124●24,2

0113275●–40

0114236●3;–25

0117●53/450

012●[–6;0] |x ∫ 0 (y+1)dy≤–2x|

012●(–6;0)

012●a=3/2 |a ∫ 0 (1–2)dx|

012●a=1/2 ∫(1–2x)dx

012●(–π/2+2πn; –π/3+2πn]

U [π/3+2πn; π/2+2πn),n*Z {0<cosõ≤1/2

012●11/90

012●à=1/2.

012●2ó+3õ–5=0

012●ìàêñ. ïðè à=1/2

Xln2

01205050●3

01212232●3

01220●1/2

012210●(–∞;–1) |log 0,1 x²–x/x²+1=0|

012220611●–0,2a³b³

0123325●0

01242●ó=–2õ+3

012424●ó+6õ+1=0

0125025191625●9/8.

012510237●x>4

012514191625●1 1/8

0125180·–1.

01251914●5

012519242140871612863172107067524002●5

012542328·x=6

012832086561208●0,5.

0131●16

01312●–3/8+9/8³√3

01322●1

A

01326313●1/6

01326313●1/60.

0133●1 1/4 |0 ∫ –1 (x³–3x)dx|

0133●π/3+2πn/3,n*Z

0133221● 7

0134005181611114215267●0,0115

01356●3000

01356325●3000

014●4 2/3

014●y=5x–3

014002119●2,7

014273●6

0144●1/5x5+1/4e4x+3/4

0145●–21

Ì.

015223●(–1,5; 5) {0≥1/õ–5–2/2õ+3

0153●7,5; –5

01562●(2,3)

01603031..●30.

016030311610●30.

0162016035273●–1

017●17%

017400518161111425267●0,0147.

018●2/11

018224233●30.

0183172310●64.

0192●ó=7õ+1

0193205●7

B (âûð ïî óñë çàäà÷è)

02●3

02●–1

02●1 | π/20|cosdx |

02●2;–2

02●π/2 |π ∫ 0 cos²xdx|

02●ó=√õ (êåðè ôóíêö)

02●y=√2

02●–√3 | π∫ 0 dx/cos²x|

02●2;–5;–1

020●lxl>1

020●–π/2+2πn,n*Z

02007257●a²b/c

Êîîðä âåðø D)

020100202●2√6

0202●e2+1

0202223532●22/27

02025●0,15

020251●0,15

0203043●4

020305111●9,3

020555004●2

021●[-1;0)U(0;1]

021102●√21.

0212●y=–8x+9

0212●π |π ∫ 0 cos²x+1/cos²x/dx|

02122●y=2

02123●0,14.

02125●[2;+∞).

0213●{π/6;π/2}

02133●åí óëêåíè f(x)=2/3 åí êèøè f(x)=0

02151508●0.

Íåò ðåøåíèè

022●√2/4

022●(–2;–2);(1;1).

022●2π |y=√cosx, y=0, x=–π/2, x=π/2|

022●a)3/2; á)1

02201●a*(0; 2]

02208●–√2–1.

Íåò ðåøåíèé

022101●a(0,2]

02211312●1,5

À

M10n16

M n

02212●(-∞; -3]U[7; +∞)

022215●3

022220041●–2<x<2

02222●ó=–8õ+10

A

0222226●(–2;6)

022233004●[0,5;1]

Õ

02231211●(–1;0] U(1;3]

M10n16

À8b5

0224●√2

02241●2π/3+2πn,n*Z |sinx≥0, 2cos2x–4cosx=1|

02252315●22

022525●1

02260●(12;14) (log0,2(x/2–6)>0

023●(–√3;√3)

023●2/3 |π ∫ 0(cos2x+sin3x)dx|

0230●6x–4y=5

0230222●3x–2y=9

02302222●(x–1,5)²+(y–1)²=9,75

02303●arcctg0,3+πn≤x<π/2+πn,n*Z {tgx>0,23 ctgx≤0,3

0231●1/2

023320●3√2/2

023544●2;–5;–1

02356180508●32

023743●1

02374350●1

02374345005..●1

024101●a(0;4]

0242●(0;±0,5)

024225201●2400.

024321●y=–4

Êã.

Êã

025●4

Âîçðàñò íà ïðîìåæ

025●Íåò (âåðíî ëè äàí ðàâ 0>2/5)

025045●150

025045●15

Ordm;

02511275131513●0,35

025112557117●0,35.

02511525●(0,2; 2)

025120810510005●9,5

025121114●–9,3

0251318926●0

0251425264●1

02515●15

0251521820418004●–0,5.

0251425264●1

0252●0,125

025231●17

0252●0,125

0252●(-∞;-1/2)

025208105100... ●9,5

025251010115002●760,2

02525256●(–4;–1) {0,25õ²+5õ>256

02528●─4. |(0,25)õ+2>8.|

0253●–64.

025321●2

02531621402232021●(–∞; 5/3)

0253216●2

0254116●x≥–4

A

02552816●2<x<3

0256●(–1: 6)

025645●ó=–4õ+11

026●–2

02626●4 |0∫ –2(6x²–6)dx|

027813●4,3

0278139●43

027213920473201022341417●4,3

028202●(0;8]

02822●[0;8]

028220●[0;8]

03●±atccos0,3+2πn,n*Z

03●v=9π

030052008000600002●11

0301515●–0,03.

03020302●1 |cos 0,3π sin 0,2+sin 0,3π cos 0,2π|

03030302●1

030405●a<b<c

031221●(23;4;24)

03122361●(-1;3)U(6;+∞)

031231●y=–1

0313209020●0;–3

0315●(1;+∞)

032●6

03201●1

032016052●3

03202●π/3

03210●–2<x<–1,7 log0,3(x+2)–1>0

03210904210316102●840

03211●|x|>1

0322●0,35

0322●3

Íåò êîðíåé

0322●y=4x–9

032220091●2;–2

032275●0,5

032321●(–∞;1)

03249●ó=2õ

033●π/3

033●(2;3;5)

03320112●2

03320112●9/40. |(0,3–3/20)•1 1/2|

033209020●0; 9/7

033253●28

0332810●26

03337105234186●48·10/27.

033421●1,4<x<1,5

Åí óëêåí)

03364●–9

0338032425●(7;+∞)

0345●–25

0348105122122●3,795.

0350601●0,105

03506018●0,105

03510337●õ>4.

03521●2,5

03521●x=–2,35.

03532●5/4x4+x2+3

03564●–9

0361●x>1.

0361202420032511402●0,3

Åí êèøè)

0338032425●(7; +∞)

0374●11

03740027●(–1;∞)

0380972●40,5.

04●2 (f(x)=tgx x0=π/4)

04●1/√2

04●ó=1/4õ+1 |ó=√õ â òî÷êå õ0=4|

04●[0; 1] |ó=tg íà [0; π/4]|

04●8 |π ∫ 0 4sin xdx|

 âèäå îáûêí äðîáè)

040653●0,6;√0,4;√5/3.

II è IV

04101751●[2,5;3)

04112●–1/30.

A

041210●26

041210●x²*y6

0416●7.

041828334●0

042●25/4

042012●0,15

04204020004●0,35

0421016●(–∞;0,5)

0422●0,7.

04221●ó=2

0423●àÝ(–∞;1]U[3;+∞)

04241●ó=–2

04204022004●0,35

04252552●1

042560●(0,75;+∞)

045025●15

Ordm;

Cosx

04512525●(1/2;2]

04513●–20 {y=–0,4x+5

04513●45 (y=0,4–5 ðàâíî 13)

0453201●3/20:1/4

045320140641425●3/20;1/4;0,45;14/25;0,64

04832●ab²/5

0485085●1

049●38/3. | y=√x, y=0, x=4, x=9 |

05●4

05●(1/2;+∞) /ln x>ln 0,5./

Ì (ìàòåðàë â íà÷àëå)

05●2/5 | π ∫ 0 sin 5x dx|

05●2

05●ó=(0,5)õ

Cóììà 11÷ëåíîâ ïðîãð)

05●√3/3 |sinx=0,5 tgx??|

051●2π+4πn, n*Z

051●–π+4pê, êÎZ |sin(0,5x)=1.|

K

0510522●(1;2)

051200●40 êì/÷àñ.

0512003●400 êì/÷, 1200 êì/÷.

05121●(–1/2;1/2)

0513●(1; 9/8)

0514160125●25/24.

05153375●19

051555●5

0516●511/990

0517●{0;5;-1/7}

051924214087163286321721070675060005●5

052●0

0520●π+2πê, êÝZ; π/3+2πn, n*Z.

05200●1200êì/÷

05200●400êì/÷; 1200

0520013●400,1200êì÷

05203●4,5

0520520●0.

0521●1/5..

0521052●x>3

05211●(0,5; 1,5)

052151●(–2;2)

052151●(–∞;2) (0,5.(x–2)+1,5x<x+1)

0522●5 1/3

0522226●(–2;6)

052233214●–1/3.

05226●1/2

05226●–1/2 |sinα–0,5sin2αcosα/sin²α, α=–π/6|

05234●(–∞; 1 3/4)

0523752183322●–3/2.

0524205...●2

0524205234●2

052516●(–4;–1)

U(3;4)

05250580●õ<1/5

05260●x>14

05260540●–2

05270●x>–6

0531●(3; 3,5]

05302●2

053053●4

0531●(3; 3,5]

Cosx

053224●(4/9;+∞)

05328●–2

0534052●(2; +∞)

05370●x<–7

Ordm;

053931●48;5

053927●3

054●4√5 (ó=0,5+4)

054211●[–2;1)U(1;2]

05423●xmin=3, xmax=íåò

05423●õmax=íåò, xmin=3

05434●1/10

055●5

05522●5

0555●5

05552●5

05625●y=2x+9

0563525●õ=–1,92

05640●26

056531●(7/11; 5/6)

0566●187/330

05701535●ð=–0,3; q=0,25

05740125●(1;∞)

05815●–1.

0583●7/12

Êã

Êã.

06●(–1)n+1arcsin0,6+pn,nÎZ. (sinx=–0,6)

060●1/8 |ó=sinx•cosx, îñüþ 0õ, õ=π/6, õ=0|

060235●1

06023505●1

06131501230555125064●11

061411501251304415●25.

062●4/3 {tgα, sinα=0,6 π/2<a<π

0620513141●[1/4; 1/3]

062056229844534●–3,441

0623060●(–3;0)

062518●125

0625182212121●1,25.

06259212271253●3;–5/2

063●(1;4)

0632●õ²+ó²+6õ-4ó-12=0

063212●5.

0639●–1

06436●4,8.

066613●11

06661302501233300925125064●11

069528138●ó=2,3.

07●7/9

07040325●3

072●–7;0;2

A)-3,1x

07230●0;7/10

072384●c–2a–b–1

0725067401120012861400345325025●1.

072506●4

072767●1.

07321●(2/3; 0,9)

07351124834218●1 1/60

07430●{0; 10/7}

075075115●1/cos3α/4-sin3α/4

Íåò êîðíåé

07516●(–∞; 1/2) |0,751–õ<cos π/6|

07516●1/2;∞

07516038158301075004●7.

0751612●1,1

0752523●x=(-1)k5/2arcsin√3/3-5+5πk/2

075341342●0,75;(3/4)-1;(3/4)-2

Íåò ðåøåíèÿ

Íåò êîðíåé.

0761●õ²+ó²–6õ–6ó–7=0

078202180307●1

0783471●(–∞; 7/4 )U(8/3;+∞)

08●–0,18 |sinα+cosα=0,8 sinα cosα?|

080050010002104026●15

08021505●1

Ì; 2ì; 1ì

Ñòîðí ïîäîáíà åìó)

08203●[–1/4; 1,5] |0,8õ²≤õ+0,3|

08231●x=1,5

08304615611251750416059●5/6

083323●=1/2

083323●1 { f(0),f(x)=8x³+3x²+sinx+3

0833304●5/6

08335●4,4

08342515●1

Òåíãå

0867812●(4;–4)

0874908249●9,1

090●α/1 |tgx=a è 0<õ<90°|

090●1/6

09009000●β>45°

09012128●π/8

0910300310212104●10

0923●1/6

094064225●2,6

1●ab/a–1 (âðåìÿ îí ïðîéä âåñü ïóòü)

1●a√a–1/a–1 |a/√–1|

1●u=1+lnx | ∫ √1+lnx/x dx|

1●ln2 e ∫ 1 dx/x(1+lnx)

Ì (äèàãîíàëü ïîñëåäíåãî)

1●2π |y=sin(x+1)|

1●0 (ABCD…AO·BD)

1●0 | tg α ctg α – 1 |

1●1 (sin²α+cos²α)

1●–1/2 (MN→•CA→)

1●1/õ²+õ | h(x)=ln x/(x+1) |

1●2,3,4,5

1●ñ²/24π²√4π²L²–c²

1●5 | 1–tg(–α)/sinα+cos(–α)|

1●â êóáå ños

1●(@3@l!3!sin2acosa)/8

1●1 |1–sinα cosα tgα|

1●2 |1+sinα en ulken mani|

1●õ≥1 |f(x)=√x·√x–1|

1●–π/4+πn, n*Z |tg(–x)=1|

1●(0; –1)

1●x≠Ïn; n*Z

1●[0; +∞)

Sup2; (Öèë áóèð áåòèíèí àóäàíû)

1●1/2 |sinx+cosx=1|

1●0 | sinx•cosx, sinx+cosx=1 |

1●(1;0)

1●(1;+∞) |ó=lnx+ln(x(x–1))|

1●(–1;∞) | ó=loga√x+1 |

1●L + tgx

1●1/2(x-1) |f(x)=ln√x–1|

1●1/x²–1 |f(x)=ln√1–x/1+x|

1●π+2πn,n*Z |cosx=–1|

1●–π/2+2πn,n*Z |sinx=–1|

1●–π/2+2πn,n*Z |sin(–x)=1|

1●2πn,n*Z |cos(–x)=1|

1●–π/4+πn,n*Z |tg(–x)=1|

1●π/2+2πn,n*Z |sin(–x)=–1|

1●π+2πn,n*Z |cos(–x)=–1|

1●π/4+πn,n*Z |tg(–x)=–1|

1●(-∞;-1]u[1;∞)

1●[1;+∞) |ó=√õ–1|

1●[–π/4; π/4]

1●2√x+c

1●π+2πn, n*Z

1●0 |tg α ctg α–1|

1●0

Íàéäèòå ðàäèóñ ñôåðû, êàñàþù îñè êîíóñà, åãî îñíîâàíèÿ è áîêîâîé ïîâåðõíîñòè)

1●3√3 |log(logx)=–1|

Ïåðèì ìàëåíü êâàäð â öåíòð ðàâåí)

1●ctg(x+1) |f(x)=ln sin(x+1)| 1●[0;+∞) |√õ>–1| 1●2√x•(1/3x+1)+C |u(x)=x+1/√x|

N

1●à)x1=–1,x2=1; á)õ1=õmin,x2=xmax (y=–x–1/x)

1●1/sin α |ctgα+sinα/1+cosα|

1●1/sinβ |ctgβ–cosβ–1/sinβ|

Ñosx

1●1/cos α |1–tg(–α)/sinα+cos(–α)|

1●1/x2sin21/x

1●2π |y=sin(x+1)|

1●–2π |(π+arcos(–1)=-x|

1●4/15

Sup2; (Öèë áóèð áåòèí àóä)

1●2π<x≤ï+2πn

1●–45° |arctg(–1)|

1●–135° |arcctg(–1)|

1●2√x•(1/3x+1)+C |u(x)=x+1/√x|

1●π/4 |arctg1|

1●3π/4 |arcctg(–1)|

1●–1; 1

1●y=1–x |y=1–x|

1●cosα |1/cosα–sinα tgα|

1●1/cosα |tgα+cosα/1+sinα|

1●cos2x–sinx y(x)=cosx• (sinx+1)

1●sinx–cosx/1+sin2x (f(x)=1/sinx+cosx)

1●x<1, x>1

1●–1/2

1●a)–1;1 á)(–∞;0),(0;∞) â)æîê | ó=õ–1/õ |

1●Íåò ðåøåíèé |sinx•cosx=1|

1●x≥1

1●x–x +c

1●x›1; x≠πn;

1●–π/2+2πn+2πn<x<π/2+2πn

Ï

Êóáòûí ñûðòòàé ñûçûëãàí øàð êîëåìèí òàá)

1●1 sinβ

1●√2

1●1/√π

Ñîòàÿ äîëÿ

1●–π/2+πn<õ≤π/4+πn,n*Z |tgx≤1|

1●–π/2+2πn≤x<π/2+2πn,n*Z |y=√cosx/ 1–sinx|

1●–π/2+2πn<x≤π/2+2πn,n*Z |y=√cosx/sinx+1|

1●2πn<x≤π+2πn, n*Z |y=√sin/cosx–1|

1●π +2πn, |cosx=–1|

K

1●x²sin²x1/1 f(x)=ctg x/1

1●(–π/2+πn, π/4+πn],n*Z |tgx≤1|

1●(–1;0)

1●(1;0) |ó=lnx y=x–1|

1●(√3-1)/4 {|êîíóñ| |ctgβ-cosβ-1/sinβ|

1●(πn, π/4+πn],n*Z |ctgx≥1|

1●[0; +∞) |√õ>–1|

1●[2;∞) |y=√x+1/√x|

Cosx)

1●–1/2

Ñì

1●1/x²sin² 1/x |f(x)=ctg 1/x|

1●1/2(x-1) |f(x)=ln√x–1|

Øåíáåð óçûíä)

×åìó ðàâåí ðàäèóñ îêð)

1●1/sin?

1●1/cosα |1–tg(-α)/sinα+cosα(-α)|

Ðàäèóñ êðóãà)

1●1+tg²x |1+tg(-x)/ctg(-x)|

1●2 |1+sin α|

1●2πn,π/2+2πn {sinx+cosx+sinxcosx=1

1●2πn<x≤π+2πn, {y=√sinx/cosx–1

1●2, 3, 4, 5 |xn=x+1|

1●–2π {(π+arccos(-1)=–x

1●2π |y=sin(x+1)|

1●4√3/27

Ì.

1●cosα {1/cosα–sinα tgα

1●cosx/2√sinx+1

1●1/sinβ

1●g(x)=x²–1.

1●tg(1–x) {f(x)=lncos(1-x)

1●1+tg²x {1+tg(–x)/ctg(–x)

1●x<1,x>1 {y=x/x-1

1●x≥1 {y=√x•√x-1

1●x≥1 |f(x)=√x√x–1|

1●x≥1, x≠πn, x≠n,

1●a)-1; 1 b)(-∞;0)(0; ∞) c) Íåò

1●à√à-1/à-1

1●åx/åõ+1

1●e÷/åõ+1

1●[-π/4;π/4]

1●π/4 {ctg x=1

1●π/4+πn, n*Z

1●π+2πn; π/2+2πk;n,k*Z |1+cosx=sinx+sinxcosx|

1●2πn,π/2+2πn |sinx+cosx+sinxcosx=1|

1●õ≤0,õ≥1

1●õ-õ²/2+Ñ

1●åõ/åõ+1

1●ctg(x+1)

Íåò ðåøåíèé

1●íåò ðåøåíèè (lgcosx=1)

1●íå èìååò ðåøåíèÿ (lg cosx=1)

10●(–1;1) |f(x)=x+1/x, x≠0|

10●(1/100; 100) √x lg√x<10|

10●35

10●75√3 ñì². {ïëîù ïðàâ ∆

10●(–∞;–1)U[0;+∞) |x/1+x≥0|

10●10 (Äë îêð,äèàì êîò 10/π ðàâíà)

10●40êì/÷

Íàéäèòå äèàìåòð îêðóæãîñòè)

10●πn,n*Z

10●(–∞;0]

10●(–∞;0] {y=10√–x

10●1%

10●28%

Ñì

Ïåðèì ðîìáà ñ íàéá ïëîù )

Ì

10●15

Äèàã ðàâíáåäð òðàï)

E

Ordm; (ÌÎÊ áóðûøûí òàáûíûç)

NPKM)

10●30 000

10●3 1/3ñì (Íàéäèòå ñòîðîíó ∆)

Òîãäà ðàäèóñ ýò îêð ðàâåí)

Ñì (Íàéäèòå ðàäèóñ îêðóæíîñòè)

10●10√2

10●a-b10b

10●y=1/x–7 | y=1/x, x≠0 |

10●ln2+1/2

10●ln[x+1]–y²/2=C |dx/x+1–ydy=0|

10●xn+1=xn+10

10●π/2+2πn; n*Z (sinx–1=0)

10●(0;1)

10●40êì/÷ (ïîåçä)

10●(0;1/10)

10●(-1;0)

10●(-∞;1)U(0;+∞)

10●1

10●10 (íåðâåíñò x≥10)

10●–1 {(√x+1≤0)

10●1/ó2n+1

10●1/2π (Îáúåì òåëà ó=√õ, õ=1, ó=0)

10●15

10●sin(–170) ( sin 10)

×

10●21%

10●24êì/÷

10●2πn,n*Z; π/2(4k-1),

N.

10●20π ì {(Âû÷ äëèíó îêðóæíîñòè)

10●23

10●3√2

Òîíí ïåðåâ ãðóç)

10●4êì/÷

10●–4 è 2,5 (ïðîèç êîò ðàâíî (–10)

10●45

Ì (Âû÷ äëèíó îêðóæ)

10●π/2+2πn; n*Z

10●5 (ðàäèóñ îêð âïèñ îêîëî ïðÿì ∆)

10●20π

10●π/4+πê,ê*Z

Ñì (Íàéäèòå ðàä îêðóæíîñòè)

10●5 ñì {(øåíáåð ðàäèóñ)

10●50 ñì² (Íàéòè ïëîù òðàïåöèè)

10●50 ñì² (ïëîù 4–êà ÎÑÐD)

10●–π/2

10●π+2kπ |cosx+1=0|

10●33,1%

Êàáûðãà)

Ñì.

Îíûí ïåðèìåòðèí òàáûíäàð)

Ñì.

10●a–b/ 10 b.

10●–π/2 (arcsin(-1)+arctg0 )

10●π/4 |ctgx=1 ïðèí èíòåð (0; π)|

10●òåð³ñ åìåñ ñàí æèûíò.

10●õ<–1, õ>1

10●π(2n+1),n*Z; π/2(4ê–1),k*Z |1+cosx+sinx=0|

Ñåëîäàí êөëãå äåé³íã³ æîëäûң àëғàøқûÆ:10êì

Ordm; (Óãîë KMP)

100●50º è 130º (Íàéäèòå âñå óãëû ïàðàë 100º)

È 130

100●40۫º; 40º (Íàéäèòå îñòàëüíûå óãëû)

Ì

100●â II ÷åòâåðòè=ñ–îòðèöàò(–) |ñ=tg100°|

1001223●3ì³

1003●101.

Ëèòð

Áåëã³ë³ á³ð àðàëûқòû æүð³ï өòêåíäå àðáàÆ:100ì

10143●5

È 10

Ñì

AD è ÂÑ)

10172118●1512 ñì³

Ñì

Îáúåì ïðèçìû)

Lg2

1021310●6

102251425501●–1/2;1/2

100●2450

100●1/10; 10 ( xlogx=100x )

1000000860●6

1000015●0,001; 1000.

100010●13%

10001004018●220

100010010001●9

10001065015●14

100011022●10–2

Àäàì

Ñì

1000●(0;9) logx+lg100>0

1001●50

1001●õ1=0,1,õ2=100

1001010●2 ½+1/2lga

1001025●13•1/3

Ã. (ðàñòâîð ñîëè)

1001299210129992●3600

Ordm;

100150●1100

Âíåø óãîë)

Ãð

Êã (Ñàõàðíîé ñâåêëû)

1002●500π/3ñì³. (îáúåì øàðà)

1002●1000ñì³ (Âû÷ îáúåì êîíóñà)

1002●1000/3π ñì³ (Îïð îáúåì êîíóñà)

100210003●2

100220●25π ñì² (îïð ïëîù îñí êîíóñà)

100202●10

10020100●380

1002010001510000011103510401050●105

100210●±0,1

Åé ëåò)

100220●60°

100220●25π cm²

10023●15; 75; 10

10025●400

1003●101 |(100x)lgx=x³ |

1003●11

10033430537314●–5.

100345115●30

1004020●0 |sin100°–sin40°–sin20°=?|

100420100002●380

1005●ó=–4õ–4 (y=1/x, x0=–0,5)

1005●24

100523●15,75,10

100528●±4.

Ì

10055450556512●–3.

10058●±4

10065●–2970.

10081121275●0

Êã.

Êã

Êã

Êã(ÿãîä)

Êã

101●y=–x+3. (ó=õ+1/õ, õ0=1.)

Ln2

101●3π/4

101●40,04 (äåäóøêà âëîæ 10%,1 ãîä)

101●2/3(2√2–1) |1 ∫ 0 √x+1 dx|

101●n+1√a

Sup2;

101●3/2

1010●(0;1) |{ó+õ–1=0 |ó|–õ–1=0|

1010●0,1

1010●3π/2 |y=√x+1,x=0,x=1,y=0|

1010●3√1/2

Ñì

1010●2 y–1=0 y=1/x [0 e]

10100●4905

1010●2550.2450

Ë, 2450ë

10100●90

1010111222...●2

10101112●2

10101260●480√3

10102●0,1; 1000.

Ñì

Íàéòè ìåäèàíó,ïðîâ ê ìåíüø èç 2ñòîð)

10110●5

101101●1.

101101101●xˆ(–1;+∞)

10110110110●9/10

1011020●5êì/÷

1011111212139991000●–2

10112101●–1;1

1011293●19•4/17

10112935●19•41/60

1011455612●1•7/11

1012●75 (ïëîù ðàâíîáåä ∆)

1012●8

1012●44cm (ïåðèì ïàðàë–ìà)

1012●75 ñì² {ïëîù ðàâíîáåäð∆)

1012●5/2π |y=√x+1, y=0, x=1, x=2|

1012●60 ñì² (ïëîù ïàðàë–ìà)

10120●10√3/3

Ì (Îãîð. Ó÷àñ)

101200●30,40,140

101202●20402

Ì.

1012002●140

1012101299●–1;1

Óêàæèòå èõ ïðîèçâåäåíèå)

1012186810●176

101230●60ñì². (ïëîù ïàðàë–ìà)

101231031●√10–√3–1.

101245●30√2

È6,2

Ñì

10128●32 (ïåðèìåòð ∆)

Äì

1013●120äì² (ïëîù ýòîãî ∆)

Ñì

1013●2/3π |y=1/x, y=0, x=1, x=3|

101313●12.

10131934535●(–5;–11)

10133●21,25 |1 ∫ 0 (1+3x)³ dx|

Êã

101342553●90.09

101370120●0.

10137012580●0

1014●30%

1014029147●5,7,9,11,13,15,17,19,21,23.

Á)23,21,19,17,15,13,11,9,7,5

10142●10 1/3. |1 ∫ 0 (1+4õ)² dx|

Òðàïåöèÿ)

10143●5

10143●5 |1 ∫ 0 (–1+4õ)³ dx |

Ñì

Ñì è 10ñì (AD è CD ðàâíû ñîîòâåò)

È 10

1015●10,5

Ñì. (Íàéäèòå äëèíó äóãè)

Îíè ðàáîòàÿ âìåñòå)

10150●144π ñì²

10150●144π ñì² (Íàéäèòå ïëîù êðóãà)

Ñì (Íàéäèòå ðàä îïèñàííîé îêð)

10151112075●0,1.

10151421●√5/7

101515●–1/3; 5/3

10152015514●600 ñì²

101596713●120

Ñì (ðàññò îò öåíòðà îêð äî õîðäû ðàâíà)

Ñì (òîãäà âûñ, îïóù íà îñíîâàíèå ðàâíà)

1016●4,8

Ñm

1016●2,5ñì (ÀÂ=ÀÑ=10ñì, ÂÑ=16ñì, áîë–í ÀÂÑ òåí áóèð)

Ñì (Îïð âûñ,îïóù íà áîêîâóþ ñòîð)

101632●13√3/14

101660160033●280 ñì²

10166024003●140√3 ñì²

101710010710001007●z>y>z

1017211●1512ñì²

10172118●144 ñì² (ïëîù ñå÷åíèÿ)

10172118●1512 ñì³ (Íàéäèòå îáúåì ïðèçìû)

10172120●1680 ñì³

10172137●33,6ñì³

10172420●1680

Ñì

Ñì, 15ñì

Òûé ÷ëåí ïðîãð)

102●(5;7)

102●(–2;5)

102●(5;7) |√õ+10+2=õ|

102●(õ-1)+ó=4

102●1/x-5 |f(x)=ln(1–0,2x|

×;15÷

102●(–2;5)

102●(x-1)²+y²=4

X-5

Ñì, 12ñì (òðàïåöèÿ)

102●12 ñì²

102●3

102●π/2–1 |y=1,y=sinx 0≤x≤π/2|

102●ln2+1/2 |y=1/x, y=0, y=x, x=2|

1020●ln2+1/2 y=1/x, y=0, x=2, x≥0

Lg2

1020●1/2 ln2+1

1020020300●16 %.

Ñì (Âû÷ âûñîòó òðàïåöèèè)

102023●5/6km/÷

102040●10230

102043510●11

Ordm;

102068●900

1021●(2/3;1/3) {|õ–1|–ó=0 2õ–ó=1

10210●–3π/40-πn/2; n*Z

10210●íåò êîðíåé |10õ²–õ+1=0|

10210110●2550; 2450

Ctg8x

Ñì

10212●–1 |1 ∫ 0 dx/(2x–1)²|

102131●11

1021310●6.

10213310●6

102135210225●–2,5.

1021523●(5a-b) (2a+3c)

1022●–5sin x |10cosx+sin2π/2|

1022●12;8

1022●–1 |1 ∫ 0 dx/(2x–1)²|

10221219203●200 ñì²

102222●3

10222304616●9/3

102235●±1; ±√6

102251425501●–1/2; 1/2

A

10226●(–∞;–6)U(–6; 5]

1023●4. |√10–x²=3/|x|

10231●(–∞;–5]U(–1;2]

10232●7

10233●16π ñì²

10235●e–2

1023513313●1,6

Ñì. (áîëüø îòð)

Lg4

1024●26ñì. {êâàä ñî còîðîíîé

Ñì (äëèí ïåðïåíäèê)

Ïåðèì ðîìáà)

Ñì

Cm.

102425●408 ñì²

Âûñ òðàïåöè)

102426●90º(óãîë ∆ ïðîòèâîë áîëüø ñòîð)

10247●676π

Ë.

102552●Ax²+Bx+C |y–10y+25y=–5x²|

102552910●15

10256●265

1026●60

1026●I, II (ó=10õ²+6 êîîðä ÷åòâ ðàñï ãðàô)

10270●42,25π ñì²

10270●56,25π ñì² (ïëîù íîâ øàðà)

1027295272●1900 ì³

1028●2 %.

103●–π /3

103●(-2;5)(-5;2)

103●1; 250

103●π/6 |m→(1;0;√3)|

103●81. (1–ãî è 5–ãî ÷ëåíîâ ïðîãð)

103●4êì/÷

103●–π/3

1030●(–∞;–10]U(3;+∞)

1030●200 ñì².

1030●300 ñì² (Âû÷ ïëîù ýò ñå÷)

1030●10

Ðÿäîâ

10300200010002005125●6

Äì

10304502●400 ñì² (Îïð ðàçíîñòü ïëîùàäåé ∆)

103048●5/sin48º. (Íàéäèòå ñòîðîíó ÀÂ)

Äì

10305●10

10305●5√2

103050●60

Ñì (ïðîåê ãèïîòåí íà ýòó æå ïëîñê)

103056●90

103075●25 ñì²

10310●1500

10310●1500ñì³ (îáúåì 6-óãîëüí ïèðàì)

103103103103●38

Êã

103113311●3√3

Êã

Êã

Ordm;

Ordm; (Íàéäèòå óã ìåæäó äàí îòð è ïëîñêîñòüþ)

103206●–18,9

103213217●2 1/7.

1032302●4êì/÷

103235●14.

103242●à=–5

103242●–5 (ó=–10õ+à ó=3õ²–4õ–2|

1033●1*1/4

1033●1,25

10336●2079

1034●4

1034●13 |õ+√10–3õ=4|

1034204322●5a³b³ /b-2a

1034875●√3

1035●2√5/3

1035●60; 80

103515580●1

10352520●60 êì/÷; 80 êì/÷

10353643●0

Òûñ

Òûñ òã

10364034216●10(b+4)/b

10386●2õ+3ó

Ì (äë áîê ñòîð)

104●1250

104●1:250

Êã

10405010●5

Ñì. (ê ìåíüø áîê ñòîð)

10410●–2t³+t²+t–1

104133●13. |1 ∫ 0 (4x+1)³/3 dx|

104212●48,4

10444●(81;1),(1;81) |{√õ+√ó=10, 4√õ+4√ó=4|

10445●21êì²

1045●125√2/3π

à (Ñêîêî æåë ñîäåð â ñïëàâå)

1045●60;70 êì/ñ

Ñì

104510●40π ñì³

104560●10√2 ñì è 20√3/3ñì

Ñì (îáðàçóþùàÿ)

105●2 | xlogx10=5x. |

105●25ñì² (Íàéòè ïëîù ∆)

105●5

105●5. |10lg5|

Ordm;

105●4;5

105●2 |õlog10=5|

105●√2(√3+1)/4 |sin 105°|

1050●1-2550,2-2450

105002●{-2;1;0}

105048●AB=5/sin48

105051●1 logx+1(x–0,5)=logx–0,5(x+1)

105051●1/3

105070●1/8 {sin10ºsin50ºsin70º

1051●1 | f(x)=1/x. f(0,5)–f(1) |

105122950●3.

105123975●3

10515●1/4 |sin105°•sin15°=?|

1051515165225●2.

105195135●–√2/2.

1052●2 1/2; 2 ó(õ)=õ+1/õ [0,5; 2]

1052●9 ²x–10,5²<2

1052●9

1052●4%

1052●12

1052●[0,5; 1,5] (y=1–0,5sin2x)

105218●3 êì/÷àñ.

Êì

1052562●n=10.

Äíåé

Ordm; (óãîë íàêë îòð ê ïëîñê)

1053●11ñì (îñí ðàâíîá ∆)

105434●1/10

105434●1/10. |1 ∫ 0,5 (4x–3)4dx|

Äíåé

Cm.

10570●y=2x–1,4.

10575●0. |cos 105º + cos 75º|

10575●–2sin 15º. |cos 105º – cos 75º.|

Æàíå 7

105912●54

1060●180π

Cm.

106045●20/1+√3äì; 10√2/1+√3äì

Îò òî÷êè D äî ïðÿìîé ÀÑ)

106515●27

10658●(5;8) U (13;+∞)

10662036●–6

1068●96π ñì²

Ñòî ñåì öåëûõ ñòî ñåìü äåñÿòèòûñÿ÷íûõ (â âèäå äåñÿòè÷ äðîáüþ)

Ã.ñîëè

107●–1/8

107●lg√3

107●0,49 |1–sinα•cosα•tgα, åñëè cosα=0,7|

1070●1–2a²

1071213107313●1/3

107128●(1;0)

1072210722●396

10731213107313●1/3

107502●907,5

Êã.

Cm (äëèíà äèàã BD)

108●8

Ñì

108●96π ñì³ (îáúåì êîíóñà)

108●96π êì³

Ñì

108●48ñì ²(ïëîù ïðÿìîóã–êà)

Íàéä åå íûíåø âîçð)

1080●8

10801260●0,8

1080318●0,5

108080●–1

1080801070●–1

À11

10823●m²n³

108335●4,4

1083●119,2

10835●(1;2)

10835●–3

1084●12

×àñ.

108722718●2

Ordm;

11●0 |√õ+1=1|

11●0 ( sinx/1–cosx–cosx+1/sinx )

11●[1;+∞) |õ–1>–1|

11●y=1/x–1 |ó=1+1/õ|

11●y=1+1/x |y=1/x–1|

11●x>1 f(x)=lg(x+1)+lg(x–1)

11●(–∞;–1)u(–1;∞)

Sina

11●1/x²–1 |f(x)=ln√1–x/1+x|

11●1–x√x (1–√x)(1+√x+x)

11●1/2x²–lnx+C y(x)=(√x+1/√x)•(√x–1/√x)

11●–2 (logm 1/m+log 1/m)

11●4; 5

11●(1/2;1) |õ/1–õ>1|

11●3π/2. |arccos(–1)–arcsin(–1).|

11●2/cosx |cosx/1–sinx+cosx/1+sinx|

Òåíãå

11●–2 |(1+sinx–cosx)(sinx–1–cosx)/sinx•cosx|

11●(–∞;–1)U(1/2; +∞)

Sina

11●–π/2+2πn,n*Z,2πk,k*Z (cosx/1–sinx=1+sinx)

11●π/4+πn<x<π/2+πn,n*Z |sinx>–1 tgx>1|

11●π+2πn,n*Z |y=sinx–1/cosx+1|

11●(0;1)

11●(–∞;0)U(2;+∞)

11●(–∞;0]

11●(-∞;-1)U(-1:∞)

11●(–∞;–1)U[1;+∞) |ó=√õ–1/õ+1|

11●[1;+∞) |√õ–1>–1|

11●[0;1] {|õ|+|õ-1|≤1

11●[0;1] {|õ|+|õ–1|=1

11●0 |√õ+1=1|

11●1/1-õ²

11●1/cos α

11●1/sin |1/tg+sin/1+cos|

11●1/sinα |1/tgα+sinα/1+cosα|

11●1/õ²–1 {f(x)=ln√1-x/1+x

11●–2åõ/(åõ–1)² ( f(x)=ex+1/ex–1 )

11●2/3x√x+2√x+x²/x+lnx+C |f(x)=√x+1/√x+x+1/x|

11●2/sinα |sinα/1+cosα+sinα/1–cosα|

Cos2y

11●sin²x { (1–cosx)(1+cosx)

11●cos²x { (1–sinx)(1+sinx).

11●–sin²α { (ñosα–1)(1+cosα)

11●tg θ/2 |1+sinθ–cosθ/1+sinθ+cosθ|

11●cos² α

11●2tg α |cosα/1–sinα–cosα/1+sinα|

11●ln(x+1)+1

11●–sin2y |(cosy -1)(1+cosy)|

11●sin2õ |(1-cosx) (1+cosx)|

11●sinα |(1-cosα)(1+cosα)/sinα|

11●cosα |(1–sinα)(1+sinα)/cosα|

11●√5/5 {y=√x â òî÷êå (1;1)

11●a–b |a/b–b/a/1/a+1/b|

11●â–à/àâ

Íåò êîðíåé

11●–sin²λ

11●cos²λ

11●ctg x/2 ( 1+sinx+cosx/1+sinx–cosx )

11●f(x)=ln|x+1|+C |f(x)=1/x+1|

11●6

110●1

110●(–∞;-1 )U [0;1)

110●1 |ó=1/õ, õ=1, õ=å, ó=0|

110●35º, 35º (Íàéäèòå îñòàëüíûå óãëû)

110●145º è 35º (óãëû ïàðàë–ìà)

110●(–∞;–1)U[0;1)

110021310●11

110024●100, 200, 800

Ì

Êì

Êì.

Ñì

110024●100, 200, 800

110122●3π/4.

11013●19 (bn), b1=10, bn+1=bn+3)

1102●1/x–5

110205●6,3

11021231●60

Ordm;.

110233●30

Ë

110310●4

110411●50

1105●2

Íàéäèòå ïðîãð)

11099154●11

111●0 |√a–√a+1+1/√a+√a+1|

111●0 ( 1/logxya–1/logxa–1/logy )

111●1 1/loga(abc)+1/logb(abc)+1/logc(abc)=? a,b,c*R

111●2 |1/√a+b+1/√a–√b/1/√a–√b–√a/a–b|

111●25 |{√õ+√ó=11 √õ–√ó=1|

111●xy/y–x.

111●(–∞;–2)U[–1;∞) |1/õ+1≤1|

A

111●ab | (a–1+b–1/a+b)–1|

N,

1110●π/2+2πn,n*Z |(1+cos x)(1/sinx–1)=0|

1110●ó=–1/2•õ+1/2

1110●õ+2ó-1=0

111010110010011000●a>b>c

111015●2:3

1111●0 ( 1–tgx/1+tgx–ctgx–1/ctgx+1 )

1111●a±1 èëè b±1 |ìàòðèöà (1 à b 1 1 b 1 a 1) îáð ìàòðèöà|

1111●6 (àn), a1=1, an+1=an+1)

1111●a-b/a+b |1/b–1/a/1/b+1/a.|

1111●(a-b)(a+b)

1111●2sinα |(1+cos–1α+tgα)(1–cos–1α+tgα)|

1111●2/sin²α |1/1+cosα+1/1–cosα|

1111●4√à /1–à

1111●1 |1/1+tgx+1/1+ctgx=?|

1111●1

1111●y²–x²/x²y²

Íåò êîðíåé

A

1111106145●64

1111108●9/13

111111●–1

111111●arctg√2

1111111●ÄÂ1. DA+A1B1+CC1

1111111●AC1→ (AD+D1C1+BB1)

11111111●AB→

11111111●3õ–1/õ

111111112●1 5/8.

11111111810●54√3cm² (ïëîù îñí ýò ïðèçìû)

11111111810●5√3

111111151111130502●300

Ordm;

111111456111●2,5.

111111506●10

Ñì

11111521●(4; 7)

111112311111●3

1111125●(4;3),(4;–3)

11111250●(4;3)(4;–3)

1111211●4

11112113151●√38

1111211151●1/3.

11112112151●1/3

Chas

1111212313●5/ õ (õ+5)

11112123134145●5/x(x+5)

Íàéòè åå ïÿòûé ÷ëåí)

11112311111●3√2

11113●–√5;√5 |õ+1/õ–1+õ–1/õ+1|

11113●(–∞;1)U(1;∞)

11114●[5;+∞) |√x+√x+11+√x–√x+11=4|

M

11114511130●à²(4+√2)

111146601145●40√3

Ñì

111160145●à³(4+√3)

1111614127●18/17

Äì.

Äì.

1112●1

1112●–π/4+πn,πn, n*z

1112●0; 0; 0; 0; 0 |àn=(–1)n+(–1)n-1/2|

1112●1.

1112●2 |1 ∫ –1(x(x+1)•(x+2))dx|

1112●2 |logπ(x+1)+logπx=log 1/π 1/2|

M

11122●–8. (1/õ–1·1/õ–2, õ=–2)

111211141118111●7/16

11121312●15

11122●–8 |1/õ–1•1/õ–2ïðè õ=–2|

111221●1–x/2x–1

11122132●910

111222121212●à→·b→·

11122532124935213●33,36

111230111230●4√30

111231●2

1112340441●ò³ê òөðò áóðûø

Ïðÿìîóãîëüíèê

11124133614481505625●2,32

1112421●1-õ/2õ-1

111258●4

1113●1/36.

1113●1;2;1 |x1=1, xn+1=3–xn|

111315●13

11132●1;1;1 (x1=1, xn+1=3–2xn)

1114●12 |√õ–1+√11–õ=4|

11143●1/2

1114313●3/2

Ñì

11153●3363

11158●2a²–1

Ë

Ordm;; 2,5ì.

1116123●0

1111614127●18/17

1118115140519●1/3.

111817●a17=139,s17=1275

1119●Da (1>1/19)

112●1

112●(0; 1/2) |{√õ+1≥1 õ–2õõ|

112●8

112●(-∞;1)

112●(68º;68º;44º)

Íàéòè óãîë Â)

112●(–∞;1) |f(x)=1–(1/2)x|

112●(–∞;–1)U(–1;1)U(1;+∞) |ó=1/1–√õ²|

112●1<õ<2. |y=1/√x–1+lg(2–x).|

112●1·5/8.

112●ón=2n-1 {y1=1 è d=2

112●–1/2;2/4;–3/8 |∑n=1 (–1)n n/2|

112●–tg²α |1–1/cos²α|

112●2/x²–1

112●Q (êàê èç òî÷ ëåæ ëåâåå Q(1) X(1/2)

1120●–0,5 f(x)=√1–x/1+x²,f(0)

1120●1/2 |ó=1/√1–õ,ó=2,õ=0|

1120●–1,2

112014●4/5

112024525●180ñì³;202ñì²

Ñì

1121●1 ( a/a+1–1–a/a²–1 )

1121●2,5; 2 f(x)=x+1/x x*[1/2;1]

Ordm;

11210235●b1=0,5, b11=512

112112●1/cos2α

112112112●9

1121121121●4,5

M

Y

1121221●1. |(1/1–ó):ó²–ó+1/ó²–2ó+1+ó|

112123134..●9/10.

1121231341451561671781891910●9/10.

1121310●(x²–1)5+C

1121311314●14/11

11211311411563●25

11214●2/3

112175158●1,5.

Îñòðûé

1122●2/3 |1 ∫ –1 dx/(x+2)²|

1122●8 ì² (Íàéä ïëîù îñí)

P

1122●9/8π | y=1/x, y=x, x=1/2, x=2 |

11220●(0; 1/2)

11221●22/3

11221●2 2/3 |1 ∫ –1(x–2)(x²–1)dx|

11221134●0,001

Ñ

Ab

11221221●–3

11221314●0,001.

11221314●{10,10–4}

11222●tg²α. |1+(1/tg²((π/2+a)•sin²α|

11222●3 |(õ;ó), {√õ+ó–1=1, õ–ó+2=2ó–2,íàéäèòå ó/õ|

112220131420●0,4.

112220131420●{0,002; 200}

Äíåé

C

1122213...●0,4

11222321093252233210911122●2

Îïð ìåíüøèé èç îñòðûõ óãëîâ)

112231●(–1; 2; 3)

1122321122●4

11223312641122●0.

X1;y1),(x;y2)

{³√x+³√y=–1 ³√xy=–2, íàéäèòå õ1·õ2–ó1·ó2

1122331321212●0

11223422201212●40

11223478●3.

112234829●5,75

1122348291122●5,75

112242220●–13.

11228●20√2

Íà 2,2ò. (Âòîðîé ãðóçîâèê,÷åì ïåðâûé)

1123●4

1123●√2(1+√2–√3)/4 |1/1+√2+√3|

1123●2+√2–√6/4 |1/1+√2+√3|

Ñì.

1123●(–8;6) ( 1–|õ+1|/2>–3 )

112311●11

112311322●(–∞;–1/5)

11232143●101

11232143●120{a11=23, a21=43

11232523●0

112330●20

11233723●q=5, b3=300; q=–6, b3=432

11228●20√2

Ñì

112330●20

11233478●3

11233723●q=5, b3=300; í/å q=–6, b3= 432

Òðàïåöèÿ.

11237●68º; 37º; 75º

11238●37º;68º;75º

1124●8 (b1=1, q=2, b4?)

11242●π/2+2πn,n*Z

1124125210●1.

11245●0

1125●4õ-3ó+7=0

112610●20 2/3

1127178251011112322935126212●94,96

11283●7 |√11–õ=2õ–8/3|

1275315835●–10,4

113●(0:1)

113●(0;3] |1/x≥1/3.|

113●(–∞;3) |x≤1–1/x–3|

113●0 (êåñ³íä³ yçûíä)

113●1

113●19 ( a1=1,d=3 )

113021●arccos √55/55

1130273130151500013●1,36.

1131090●5

11311●(-∞;1)U(1;∞)

11311126●–3

11312●–1/6

1131215●–1

1131231213121●–1/6

113123131●0

11313●(–∞;–5)U(–1;∞)

1131311●–1.

11313131231●³√x+1

113135157…●Sï=1/2(1–1/2n+1)

113114115116●√3/3

1132●√m-√n/m

1132●0 |limx→–1 1+³√x/2+x|

1132015152441142518●9/20.

11322●3;5

113227●[–1; 2] |1≤(1/3)õ–2≤27|

X

11323234●5

113235●0 |1 ∫ 1/3 (2–3x)5dx|

113254●4 |1 ∫ –1(3x²+5x4)dx|

11327150●69.

113312●48

11331323362●–19

113323●2

113343807●1,35.

113412●13

11342●2√x+1–3

11345214●2,9

1135●4624

1135135●4624

11356●63,28êì/÷

X

11356●x<–1,5

1136251415171●–55/17.

11364●2 (õ:1 1/3=6:4)

Ñì (ïîë äëèí îòð)

1137110215●2 2/3

1138●36.

11380●(–11;–3)U(8;∞) |(õ+11)(õ+3)(õ–8)>0|

114●2 |ó=1/√õ,îñüþ Îõ, õ=1, õ=4|

114●–√2; √2

1141●1/5

11423●21,3/5

114115116117118119●2 1/2

11412324354●3.

11426●a³

1143●(x+4)²+(y-3)²=25

114310125..●–0,7.

114310125231●–0,7.

11432253456103●2,975

X5

1147●58.

Ñì

Ñì (îíäà èçäåëèíäè øåíáåð ðàä òàáûíûç)

Ñì

Êì

115●6/25

115●40; 50

Ò

115●10. | 1 ∫ –1(5–x)dx |

11502●–2,24.

Êì

Õ

115114●6/25

11511611711120●80

115121●2/5.

Ò

115264●–42/3

115264●–4 2/3 |1 ∫ –1(5x²+6x–4)dx.|

11532●1

11543●101º íåìåñå 36º

1154890●40êì/÷àñ,50êì/÷àñ.

11561212536●(2; 3)

115705155556902●–15

Ö; 60ö

116●28 (òîãäà ïåðèìåòð ∆ ðàâåí)

1160●15

11602●15ì² (ïëîù ñå÷åíèÿ )

11602●15ñì²

1161412711●18/17.

11616551●7;–0,1 |à11=6; à16=5,5 à1 è d|

1161685●0,5 |à11=6; à16=8,5|

×ëåí ýò ïðîãð)

116212●18,5

×ëåí ýò ïðîãð)

1164●2x+24x³

116515●297.

11652●0 |1∫ –1 (6x5+2x) dx|

116712●28.

11673●1792

11681114●6

116837●d=3

117●136

Òã.

117177●7

Áîëüøè óãîë)

117234922147●4,5.

11723492214706334212●4,1.

1173337●3/7

117559171101321704015025358137505234372028●4

1176●–63 |à1=17; d=–6|

1177●ó≤7 |11ó≤77|

11776●–1/6.

1178●10 (ñn=11 n–78 ïåðâûé ïîëîæ ÷ëåí)

118124●27

118125●99/8

11817●à11=139; S17=1275

118192●2 (b1=18; g=1/9.Íàéòè b2)

Òã

1182635341●2,3km/chas

1183152●(–1;3)

11838●3/2x |1(1/8)õ+(3/8)õ|

118813●6

11913111●–1

11921122●–88; 18

119711423●10

119781423●10

1201●y=–2x+3

12●0 |f(x)=√x–1/x, f(2)?|

12●1 |f(x)=lnx•1/x ðàâåí â òî÷ê ê|

12●1/2 e2x+C |f(x)=e2x|

12●(–1;3) ( |õ–1|<2 )

12●(1–x)•(1+x)

12●–2;1

12●2; 1/2 | ó=(1/2)sinxíàéá è íàéì |

12●1 (f(x)=lnx–1/2 ðàâí 2)

12●8 (N 1/log2N…)

12●108π ñì².

Ñì (Íàéäèòå ïåðèìåòð êâàäðàòà)

Ñì (Âû÷èñëèòå ðàäèóñ øàðà)

12●30° |arcsin 1/2|

12●–30° |arcsin(–1/2)|

12●60° |arccos(1/2)|

12●120° |arccos(–1/2)|

12●π/6 |arcsin 1/2|

12●–π/6 |arcsin (–1/2)|

12●2π/3 |arccos (–1/2)|

12●–1 |x≥–1,2|

12●1/2tg α 1/2 |1–ctg2α•tgα/tgα+ctgα|

12●–144 (Îïð À·ÑD)

Äèàã ðàâíîáð òðàï)

12●192 π/2 ñì³ (ÍÀéäèòå îáúåì êóáà)

12●9

Cm (Íàéäèòå AM)

12●36ñì²

12●√2–1 |1–√2|

{Ïëîù ðàâíîáåä ïðÿì òðåóã ñ ãèï 12ñì=36ñì²

12●4êì/÷

12●6; 54

Sin2x

12●1/sin2x |f(x)=–1/2ln ctgx|

12●–2√2–x+C

Ordm;

12●√3+1/ 1–√3

12●√3–1/1+√3 |tg π/12|

12●√2/2 |1/√2|

12●–1/18√2 | ó=√õ/õ+1 ó(2) |

12●25

Êàæ ðàá â îòä âûï çàä)

12●2sin²a |1–cos2α|

12●sin²α. {1+cos(π–α)·sin(π/2+α).

12●sin α {1–2sinα cosα/sinα–cosα+cosα

12●1/(2cos² x)

Äíåé

12●x≠0;–1 {y=1/x²+x

12●6êì/÷

12●7√2/4 |f(x)=(x+1)√x â òî÷êå õ=2|

12●2π3.

12●(–1)ⁿ+¹ π/6+πn; n*Z

12●(–1)k•π/6+kπ,k*Z |sinx=1/2|

12●(–∞;–2)(-1;+∞)

12●(–∞;2)U(2;+∞) |y=x+1/x–2|

12●(2π/3+2πk;4π/3+2πk) k*Z

12●192√3sm³

12●–3 tgα=1, tg(α-β)

12●30

12●36

×

12●1 {sin²a/ 1+cosa+cosa

12●4 {y=1+cos·π/2·x

12●–3. |tgβ, tgα=1, tg(α–β)=–2|

12●4 |f(x)=elnx(1+ln²x) f(e)|

Ñì. (Äèàìåòð)

Ñì

Ñì (Âû÷ ðàäèóñ øàðà)

Ordm;

Ordm;

12●sin²a

12●sinα |1–2sinαcosα/sinα–cosα+cosα|

12●sinx•|cosx| {sinx/√1+tg²x

12●√7 |îòðåçîê ÀÄ.|

12●1200

12●x≠0; –1 |y=1/x²+x|

X

12●π/2+2kπ; π+2πê | 1+cosx=ctg(x/2) |

12●π/2+2πn; π+2πn; nEZ

12●x2+3(b-a)x+2a2-5ab+2b2=0

Íåò êîðíåé

12●íåò êîðíåé |√õ+1=√õ+2|

Ï

12●–π/6 |arcsin(–1/2)|

12●–2√2-õ+Ñ

12●π/2+2πn; 6π+2π

12●–π/3+2πk≤x≤+π/3+2πn, n*Z {y=√cosx–1/2

12●π/3+2πn≤x≤π/3+2πn n*Z

12●–π/4+πn, π/2+2πn,2πn,n*Z |1+sin2x=cosx+sinx|

12●–π/4+πn; π/2+2πn,2πn,n*Z |sinx+cosx=1+sin2x|

12●–π /4+πn; nÝz |sinx cosx=–1/2|

12●π/4+πn≤x≤arctg2+πn,n*Z |1≤tgx≤2|

12●π/4+πk≤x≤πk+arctg2 |1≤tgx≤2|

12●(π/6+2πn; 5π/6+2πn),n*Z |sinx>1/2|

12●(–1)n π/6+πn; n*Z {ctgx+sinx/1+cosx=2

12●(2π/3+2πk; 4π/3+2πk), |cos<–1/2|

12●(2π/3+2πk; 4π/3+2πk,k*Z |–cosx>1/2|

12●±2π/3+2πn,n*Z |cosx=–1/2|

12●(2,5; 0)

12●(–2; 1) a→{m; m+1;2}

12●(5;+∞)

12●[–5; 3) |√12–õ=–õ|

12●(–∞;+∞) 1+x<x+2

12●(–∞;–2]U(–1;+∞)

12●[1;5) |√x–1<2.|

12●0 {(cosa=1)

12●0 {f(x)=√x–1/x,f(2)=?

12●0

12●1,5

12●1/2tga {1-ctga?tga / tga+ctga

12●1/3; 1/4; 1/5; 1/6 |xn=1/n+2|

12●1/sin2x (f(x)=-1/2lnctgx)

12●120 {arccos(-1/2)

12●192√3 ñì³

12●2 è 1/2

Ñì

V øàðà)

12●288 π ñì³ (îáúåì øàðà äèàìåòðîì)

12●–3 |tga=1 è tg(α+β)=–2|

12●315

12●36√3 cì²

12●4 |ó=1+cos•Ï/2•x|

12●4 |f(x)=elnx(1+ln²x). f(e)|

12●–7π/6+2kπ<x<π/6+2kπ,k*Z |sin x<1/2|

Ñì

12●π/4+kπ |sinx•cosx=1/2|

12●π/4+πn,n*Z |sinx•cosx=1/2|

12●4√3

Ñì.

Cosx

Ñì (Âû÷èñëèòå ðàäèóñ øàðà)

12●20; 30

Cosx

12●cos2xdx ∫(x+1)cos2xdx ∫udv=uv–∫vdu

12●2√3.

12●d1+d2

12●{ln√3} |ex–e–x/ex+e–x=1/2|

Sin2

12●sinα+cosα

12●√3–1/1+√3 | tg π/12|

Ïk

12●4√3π/π ñì² (Íàéäèòå åãî äèàìåòð)

12●6√3π ñì² (Íàéäèòå äëèíó âïèñ îêð)

12●√7

12●7√24

12●x≠–1;õ≠0. |y=1+x/x²+x+x|

12●x≠–2 |ó=–õ+1/2+õ|

12●õ≠–2 |ó=1/õ+2–õ|

12●x*(3;7) f(x)=1 F(x)=|x–2|

12●à=1/2

12●A² | cosa, 1–sin²x |

12●π/4+πn≤x≤arctg2+πn,n*Z ( 1≤tgx≤2 )

Íåò êîðíåé

12●õ<–0,5õ>1,5 |x|+|x–1|>2

12●õ<1; õ>2

12●36(√2+1)π

12●õ>2

ÕÝ(3; 7)

12●20; 30

Äíåé

Үéä³ ñûðëàóғà á³ð æұìûñøûғàÆ:1,2ñàғ

120●2πn,n*Z | (1+cosx)•tg x/2=0 |

120●(-∞;-2] [1;+∞)

120●[π/2+2πn;2π/3+2πn)U(4πn/3+2πn;3π/2+2πn],n*Z

|–1/2<cost≤0|

120●1,2

120●16/15π (Îáúåì òåëà ó=1–õ², ó=0)

120●1 1/15π (îãðàí ëèí ó=1–õ², ó=0)

120●4/3 |y=1–x² è y=0.|

120●√3h/3 (ñð ëèí ðàâíáåäð òðàï)

120●(-D;-1)U(-1;1)U(1;∞)

120●à³/6

120●π/2+πn<x<3π/2+2πn,n*Z

120●18√3ñì²

120●–1/2

120●x²√3/3

H (ñðåä ëèí ðàâíîáåäð òðàï)

120●π/2+2πn<x<3π/2+2πn,n*Z {cosx/1+cos2x<0

U(-1;0)

120●4/3

120●–1/2 |cosα,α=–120º|

120●–√3/3 |ctg 120º|

120●–√3 |tg120º|

120●1/6à³ (V ïèðàìèäû)

120●±2π/3+2πn; n*z | cosx+1/2=0 |

120●|õ|>1

120●1000

120●2πn,n*Z |(1+cos x)·tg x/2=0|

120●80; 100

120●80º;100º

120●100º (<AMC=120°)

120●√2/48·à³

120●x<0, x>2 | lg (x–1) ² > 0 |

120●íåò êîðíÿ {√õ+1+√õ+2=0

Äåñò äðîáüþ

1200●(–1;–2)

12004●10π/3

120031200452●4/9

12003815●920ñì²

12009●18ñì (Îñí òðåóã–êÀ)

1201●ó=–2õ+3

12010●5

120110●38,8%.

120110111511●38,8 %.

Ì

120123●60

120123●20;40;60.

Ñì

12014●7

1201423●10

120150●60º, 30º, 90º (óãëû ∆)

120153●2√x+(1+5x)4+C |f(x)=1/√x+20(1+5x)³|

1202●120π ñì² (ïëîù åãî áîê ïîâåðõ)

1202●(–π/6;π/6),(5π/6;7π/6) | sinx<1/2 [0;2π] |

12020●1/2

1202001●7

1202040●4

120211723●237

120212132213●2040 ñì³

12021215●30ñì².

12021520●96cì²

1202232●4

1202232●8 |cosx=1/2, 0<x<π/2, tg²x+√3•tgx+2|

120230●õ=16äåòàëü

1202320●8ñì (Îïð ìåíüø ñòîð äàí ïðÿìîóã–êà)

12023222●3

12024●8 |12 ∫ 0 2dx/√x+4|

1202424●1/6 |π/12 ∫ 0(cos2x•cos4x–sin2x•sin4x)dx|

1202424●1/6

Ñì (ñòîðîíû ÂÀ)

Òåíãå

12032●19

Êâàä ñòîð ÂÑ)

Íàéòè a è b)

120375026425152508001601207●x=1/3

12040●10π/3

12040●60.70

12040●60º;80º (Íàéòè îñò óãëû ∆)

12040●72; 48

Êì

È 48.

1204230●16

12045●íåò ðåøåíèÿ |–√õ–1+√20=45|

Äíåé

1205●4; 5

È 57,5. (Íàéäèòå ýòè ÷èñëà)

1205●62,5 è 57,5 (Ñóì äâóõ ÷èñ 120,à èõ ðàç=5)

1205●íåò ðåøåíèé |√õ+1+√20=√5|

Áîë,8áîë

Îïð ÷èñ ñòîð ýò ìíîãîóãîëüíèêà)

12050●48; 36

1205012●48êì/÷,36km/chas

12052●6;8

120555●2

1206●0,81 ì².

1206●1,28 |1+cos2α, sinα=–0,6|

Ñì

Ñì.

1206660181●–0,97

120666036●–1,64

1206660362●–1,94.

120725●a1=1: d=4

1207●5160

1207●2√5+√7/13

12075●160

1208182122115●2

Ë

121●(–∞;–1)U(1/2;+∞){y=lg x+1/2x–1

121●(–∞; 1) y=–(1/2)x+1

121●(–∞;–1)U(–1;1)U(1;+∞)

121●(–∞;–1)U(0;+∞) |1+2õ|>1

121●(–∞;–2)U[–1;+∞) | 1/x+2≤1|

121●(–1;0);(–2;–1) |{ó–õ=1 õ+ó²=–1|

121●ó=–2õ+3

121●g(x)=2(x+1)

121●2 2/3

121●ctg² α |1/sin²α–1|

121●√õ+1+ln|õ|+Ñ {f(x)=1/2√x+1+1/x

121●1/2ln(2x–1)+C

1210●π/2(1+4ê), ê*Z |(sinx–1)/(cos²x+1)=0|

Ñì

Ðàñò òî÷êà îò ïëîñê)

Ïëîù òðàïåöèè)

È 30äíåé.

1210●2e–1 |e ∫ 1(2+x–1)dx, x≠0|

12100●12%

1210064●8√2

121013●1/2(1–√3).

1210242046●n=10,q=2

121025●(–∞;5)U(5;+∞)

12103●48ñì²

12103●48 cì³

121030●60 ñì².

121080●(1;15)

1211●(–1;1)

1211●√x+1+ln|x|+C

Á5

1211●õ<–2 èëè õ>1 {1/õ+2>1/1–õ

1211●m²

12110●–11;11 12,1:õ=õ:10

12110●(–11;12)

12110●(–11; 12) {õ–12/õ+11<0

X

12112●–π/4+πk,k*Z; arctg ½+πn,n*Z

12112712●(-3;1)

12116●8

Åí êèøè)

1212●0,25 {sin π/12cos π/12

1212●(1/2;–1) y=(1/2)(x–1)²

1212●1/sin²α |1–sin²α/1–cos²α+tgα ctgα|

1212●tg²α | (1–cos²α)(1+tg²α)|

1212●ctg²α |(1+ctg²α)(1–sin²α)

Cm.

1212●(πn;±π/3+2πk)n, |{sinx+cosy=1/2 cosy–sinx=1/2|

1212●(π/6+2πn;π/6+2πn)U(5π/6+2πn;7π/6+2πn),n*Z

|–1/2<sint<1/2|

1212●[π/3+2πn;2π/3+2πn)U(4π/3+2πn;5π/3+2πn],n*Z

|–1/2<cost≤1/2|

1212●3êì/÷

1212●–2/1–4õ²

1212●2x√1–2x/√1+2x

1212●360

1212●49/24π {y=1/x²,x=1/2,y=x

N

1212●5π/6+2πn<x<5π/3+2πn,n*Z |sinx<1/2 cosx<1/2|

1212●π/6+2πn≤x<π/3+2πn,n*Z |sinx≥1/2 cosx>1/2|

1212●(–π/4+πn/2+πk; π/4+πn/2–πk)n,k*Z

|sin x·cos y=–1/2 sin y·cos x=1/2|

1212●(–π/6+2πn; π/6+2πn)U(5π/6+2πn; 7π/6+2πn), n*Z

1212●(πn;± π/3+2πk)n,k*Z

|{sin+cosy=1/2 cosy–sinx=1/2|

1212●[ π/3+2πn; 2π/3+2πn)U(4π/3+2πn], n*Z

1212●0,25

1212●1

1212●1 |(1–sin²α)(1+tg²α)|

1212●1/5 |f(x)=ln x–1/x²+1|

1212●π/5 y=1/x²; õ=1/2; ó=õ

1212●2,5;–2,5

1212●1/4 {sin π/12 cos π/12

1212●2/a²–b² |(1/(à+b)²+1/(a–b)²):(à/à+b+b/a–b)|

1212●2b/4a²–b²

1212●360

1212●(3/2;–1)

1212●49/24π

1212●π/6+2πn≤x<π/3+2πn {sinx<1/2cosx<1/2

12120●{0;–2}. |(x+1)²+|x+1|–2=0.|

12120●{0;1} |(õ–1)²+|õ+1|–2=0|

12120●0; 2 {(õ–1)²+|õ–1|–2=0

12120●0,2

121205●π/6(6ê±1), ê*Z

Õ

12121●π/4.

121210●1/11

12121110●0

121212●1.

121212●4 √12+√12+√12+…

121212●1/2e2x–1+x³/3+11/24

12121212●√x/y

12121212●x¹/² /y¹/²

121212121205●47

121212205●(1/2;–1)

1212123●2

12121290●√3

121213121316●–1/3

Ordm; (åí óëêåí áóðûøû)

121214●3/4.

121219●3

121219●3 êì/÷àñ.

Cì.

12122●(-2;1/3)

12122●–4

121221●–1/2(2õ+1)+5/6

12122122122●4πn/3,n*Z

121221622●–4

121222●7 |(sin+(1/sinx)²+(cos+(1/cosx)²–ctg²x|

121222●0

1212221●x/(1–x)²

Ordm;

121225400180●180°

12123●(–4;3)

12123●–1/5

12123●16

121231●(1/3;3)

12123141●0,001

U(1;2)U(2;3)

1212321●2

1212323●d=–0,2

121233620●8

121234●–1;4

1212381●(2;4)

U(2;4)

121243220●[-3;-13]U[1;∞)

12125●16

121253●9.

Ordm;

Ordm;

1212772●128.

12128●π/8

X

12129●1)27,18,12 2)3,6,12

1213●π/4 | arctg ½+arctg 1/3 |

1213●(–3;∞) |ó=(1/2)õ+1–3|

1213●–3/(2õ+1)²•√2õ+1

1213●0,5. |sin(arccos(–1/2)–arctg(–1/√3)).|

1213●1/7 {tgα=1/2,tgβ=1/3,tg(α–β)

1213●õ<1. {x+1/2–x–1/3>x.

1213●õ<1 {õ+1/2>õ+õ–1/3

Áîê ïîâ êîíóñà)

X

1213●8 {logx1/2=–1/3

1213●8

1213●9/8 |–1∫ –2(1/x³–x)dx|

1213●5/12 tan(arccos 12/13)

12130260●169

121311622●n>–2/5

1213121●1/x(x+1)

1213121334●õ--1/4

121314216192●1/8õ³–1/27ó³

1213145●c<b<a

121316●–1/9

121321●255°

12132152●–{1},{3}; 1,5

12133224●–9,6

1213341213●õ–1/4

I

121345090180270●–16/65

12135●65π

1214●(–∞;–3) (1/2)õ+1>4

1214●(–∞; 2) |âåðí ïðîìåæ (1/2)x>1/4.|

1214●1/2

1214●(1/2; +∞) |(1/2)1–õ>sin π/4|

Ñì (ðàä îêð îò öåíò äî òî÷êè Ê)

Ñì.

Ìèí äåâ â êëàññå)

12141●2/3

121411●17

12141622233142057●–1 1/15

Ì.

Ì (îòðåçîê ÀÊ)

Ñì

12141813●21/220.

12141814●1/8

1214181512115●8.

121430●84 ñì²

12143112●4/15

12144●1728 (x:12=144)

12144090●5 öåëûõ 5/8

1215●(10;–5) {|õ+1|+2ó=1 õ+ó=5

1215●2/5 |1–cos2α, sinα=1/√5|

1215●12π ñì² (Íàéäèòå ïëîù ñåêòîðà ðàä)

12150●781/1250

1215105●–3

121534●25;5

1215355●15–3√3

Ñì

Âûñîòà ïàðàë)

Ñì

Cì. (íàéòè åãî ñòîðîíó)

Ãèïîòåíóçå

Ñì (ÀÂÑÄ ðîìáûíûí ÀÂ êàáûðã)

1216●100π ñì²

1216●10 (ìåäèàíà ïðîâåä ê ãèïî–çå)

1216●20

1216●20ñì {ðàññò òî÷êè îò ðåáð äâóãð óãëà)

Ñì

Cm.

121625●2880 ñì³ (Îáúåì ïàðàë–äà)

1216612●599,3

Ñì

12168●54(4–π) ñì² (Îïð ïëîù ìàòåðèàëà óøåäøåãî â îòõîä)

Ñì (Ìåíüøàÿ ñòîðîíà)

Ñì (Áîëüøàÿ ñòîðîíà)

12179●0

Åñëè öèôðû ïåðåñòàâ,òî ïîëó÷ ÷èñëî)

1218216●3*7/6

1218216144●3 7/8

1218327423923●0

1218536●13*1/3.

12186●54(4–π)ñì²

12188●6,26

122●ð=–2 q=–1 |A(1;–2) ó=õ²+ðõ+q.|

122●–4 (1/3) {(1-2x–x2)dx

122●[–1; 3] (ó=1–2sin2x)

122●–1/4b |–1/2b:2|

122●–ctg x/2+ñ

122●–2ctg x/2+C {f(x)=1+ctg²x/2

122●tg²x {1–cosx²)x/(cos²x)

122●ctg²α |(1+ctg²α)(1–sin²α)

122●24cm. (ñóììà êàòåòîâ ∆)

122●[π/6+πn; 5π/6+πn],n*Z {y=√1–2cos2x

122●0

122●–2ctg2x+C |f(x)=1/sin²x cos²x|

122●1

122●1 (1–sin²)/(cos²x)

122●1 |1–sin²x/cos²x|

122●1. |1–cos²x/sin²x.|

122●1/2

122●1–4x²–2

122●1/2. {õ–1/õ:2õ–2/õ.

122●1/2 ctgα |1+ctg2α tg2α/tgα+ctgα|

122●y=–4x+5 |f(x)=1–x² â òî÷ê àáö 2|

122●êîðíåé íåò |√1–õ²=2|

122●3 |1+sin²α+cos²α|

122●3 |y–12|/y>2

1220●0; –5/6

Sin2a-cos2a

122●0 {1–sin²α–cos²α

122●π/2(4π+1), n*Z; πê;

122●πê,k*Z;π/2(4n+1),n*Z | 1–cos2x=2sinx |

122●πn; π/2+2πn; n*z | 1–cos2x=2sinx |

122●(–1; 0,5) |y=lg(1–x–2x²)|

122●(–∞; 1/2) ( y=1/2–2x)

122●(–∞; 4) |ó–12|/ó>2

122●–2/x³+2ex–sinx

Ñì

122●cos2α

122●cosx•(3+x²) |y(x)=(1+x²)•sinx+2x•cosx|

Íåò ðåøåíèé

122●432 π ñì³ (îáúåì ýò öèëèíäð)

Äíåé (Äâà çàâîäà À, 12ä,2ä)

122●u=sinx | ∫ cos xdx/√1+2sin²x |

122●π/2+2πk,π+2πn,n*Z |1+cosx=tg(π/2–x/2)|

122●√7/4 |cosx–sinx=1/2, cos2x|

122●cosx•(3+x²) |y(x)=(1+x²)•sinx+2x•cosx|

1220●0

1220●0;–5/6

1220●60

1220●60êì/÷

1220002●5/6

122001050●10300

122015●1440 ñì²

Êì.

1221●(π/2+2πn;π/2+πk)n,,k*Z {sinx+cosy=1 sin²x–cos²y=1

1221●π+2πn, (–1)n π/6+πn,n*Z |1–cos²x=(2sinx–cosx)(1+cosx)|

1221●–1/2

1221●2√2–2

1221●(–2; 0] |log 1/2 (x+2)≥–1|

1221●(23,4;24)

Êã

12210●x=–π/2+2πn n*Z

Êã.

122105●4

122111●1/y2n+1 |(1+yn+2)/y2n+1)–(1/(yn–1)|

12211121●(1/2; 1)

122112●√2/2

12212●cos²α |(1–cos²α) tg²α+1–tg²α|

122120306●81/4

1221210●à<–2

12212133281●–6

122122●2 |1/2–√2+1/2+√2|

122122245●(–5;–5); (7;1)

1221233281●–6

È 4

122126●24

122128212212412●x²–3x+2=0

122132●2

122133●5/6 {y=1/2sin2x,y=1/3sin3x

122141●7.

1221482●147 ñì² (Íàéäèòå ïëîù ∆ ïðè íèæí îñí)

122153●1/4; 1. |12x²=15–3|

1222●1 |f(x)=1/2sinx•tg2x, f(π/2)|

Cm.

1222●19/24π |y=1/x, y=x, x=1/2, x=2|

1222●–2à+5

1222●–2

1222● |cosα – cosβ|

1222●144–√3

Cos2a

1222●x²+3(b-a)x+2a²-5ab+2b²=0.

Tg2a

1222●(m-n+1)(n-m+1)

1222●2cos2α

1222●3 | y=(x–1)²(x–2)² |

1222●tg²α {1–cos2α/2cos²α

1222●cos²α {1–sin²α/cos²α–(cosα tgα)²

12220●π/2+πn, n*Z; π/4+πk,k*Z |1/2sin2x–cos²x=0|

12220●π/2+πn; n*Z

12220●–π/2+2πn,n*Z |(sinx+1)(cos²2x+2)=0|

12220●(5;5)

1222012121134●3/11

122206410●208 (ïëîù ∆ ñ âåðø)

12221●(1;2]

1222102112●–6

1222103●{–2;2}

122212●1+ñ |(z+c1/2)²–2c1/2|

12221227152●14+√140

12221227132●12+√84

12222●141 1/3

12222●143

12222●a–b

12222●a–8

12222●b–1/(ab) |(a–b+1)/(a²–ab)+(a+b)/2ab)

(a/(b²–ab)+(a/(b²+ab)|

12222111225●65

1222212●–1 |(x+1)(x²+2)+(x+2)(x²+1)=2|

Ln2

12223●(–3 2 2 –1)

12223●4

1222318●–1<x<1

12223212715●15

122232429729829921002●–5050

122234012●a→ è b→

122244●y=1*2/7

12225303132●–26,875

1223●(0;3),(4/3; 1/3) {|ó–1|+õ=2 2õ+ó=3

12233341122●–2sin²2a

12222318●–1<x<1

12222532223●8/11

12224●õmax=1 | ó=1/2–2õ²+4õ |

12225●(0;1/32)U(32;+∞)

12225301212●–4

12225302122● 9,25

12225303132●–26,875

1222632622●(2ab-c)(6ab-3ac+1)

122284●[–6;–4)U(2;4]

1223●(0;3),(4/3;1/3)

1223●x<–3;–3<x<1 x>1

Jane 3

12230●π/4+πn,n*Z |(tgx–1)(2sin²x+3)=0|

12230●π/4+kπ |(tgx–1)(2sin²x+3)=0|

12230●x=π/4+πR R=Z

12233●407 2/3

R) REZ

12231●8

122312●F(x)=–x–2/3x³–9

12231213●1

1223122●(-∞; 0,5).

12231432●–10 (DA·CB)

12231432●–14 (CB+DA)(BD–BC)

12231432●–2 (AB·ÑD)

AB ND)

12231432●2 (DA•CB)

1223241118●õ>5/3 {12õ²–(3õ-2)(4õ+1)<11õ-8

12232433●3–10

122332●1/2tg(2x–π/3)

Íàéá çíà÷)

1223341●–1

12233563●–1/2tg(2x–π/3)+√3

122341●(4;+∞)

1223421●(–∞;2,5)

1223421●õ>2,5

1223432●2,5

122343313●48.

122352●9

122362●–31

È 54

1224●AB→=i→+6j→

12241●(–4;–5);(5; 4).

Tgx

1224124●x=4

12243●6ñì²

12243220●[-3;-1][1;+∞)

12243648607284●1/128.

12244●xmax=1

12244896●–1/16

12245●(2x–4)6+C |f(x)=12(2x–4)5|

Ñì (Âû÷ âåðõíåå îñí ýò òðàïåöèè)

È 30÷

1225●600ñì² (Âû÷ ïëîùàäü ýòîé òðàïåöèè)

1225●6

1225●676π

1225●0,8 |Âû÷èñ 1,2–2/5|

12251●–3,5

12252●5,5

Ñì (Îïð èõ äëèíó, åñëè ïëîù êðóãà)

1225220●à>–4/5

1226●x²+(√6–√2)x–2√3=0

1226022601●–1

122636●arccos 4/9

12264●54

1226623●25

Äíåé

12269●21

M

Ñì

Ñì (ðàä îñí êîíóñà)

12270●0;–7/12.

12271322122●12+√84

1227152●14+√14

12288●6;18

123●(1+õ)(1+õ²)

123●1 3/8 |1–õ–õ²–õ³|

123●15(6)

Ñì (Íàéòè ãèïîòåíóçó)

123●a |à1/2•√à³|

123●(0; 2/3)

123●(–2;1) (à→{m; m+1; 2} ìåíüøå 3 äëÿ âñåõ çíà÷ m)

123●122.

123●√2x+3+C |f(x)=1/√2x+3

123●y=2x-6

123●–3;1 |y=1/x+2–x/3|

123●(–3;–2/3] |y=√lg 1–2x/x+3|

Èñêë èððàö)

123●(–∞;–1)U(2;∞)

123●–2; 1; 4; 7; 10 |1ûå 5÷ëåíîâ à1=–2;d=3|

123●[–1;3]

Ñì

123●30º; 60º; 90º

123●4 ½ |f(x)=(x–1)², y=3–x|

123●3,5

123●Á³ð³íø³ æ/å óø³íø³. |ó=õ123|

123●(–6;6) |√õ+1=√2õ–3|

1230●(0;0),(√2;√2) {y=|x| 1/2x³–y=0

1230●[1;2]U(3;+∞)

1230●[1;2]U(3;∞) {(1–õ)(õ–2)/(3–õ)≥0

Ordm;

Äì (Íàéäèòå âûñ êîíóñà)

1230●(–∞;–3)U(–2;0)U(1;∞) |x•(x–1)•(x+2)•(x+3)>0|

123083●–√3+3/20

12310●(1/3, 2/3) log12(3x–1)<0

12311●[2;+∞)

123110101011●n+2π

123112●6

12311212●0,99

123112134310●6.

1231123●2m²; 3m².

123113544●(–3 2/3; –1]

123114●AB=2i–3j+k

12312●1 3/8 |1–õ–õ²–õ³, õ=–1/2|

Íåò äåéñò ðåø

123122●–5/8.

123123●2√3. |1/2–√3–1/2+√3|

123123●2e 1/2x–3–1/6cos3x+C

12312312212●4

123125●0,25.

12313301231332●(–8;27)

12314●(–∞;-3)U(1/3;1)U(3;+∞)

12315●8 (b1=2, q=3, b15=?)

12315●6 |12+√x+3=15|

12315●íåò ðåøåíèé |12–√õ+3=15|

123153125●4

1231617136●16

1231617136612●16

12316223556●24/35

123168●2058ñì³ (îïðåä îáúåì)

123172●(3;1)

Ã

È 30äíåé

1232●2.

1232●{2} |x–1|+|x–2|+|x–3|=2

1232●π/3. |arccos(–1/2)–arcsin(√3/2).|

1232●–2√5/5 |x=arctg ½ x*(π; 3π/2)|

1232●[–π/6+2πn;π/3+2πn)U(2π/3+2πn;7π/6+2πn]

|–1/2≤sin t<√3/2|

1232●[π/6+2kπ;π/3+2êπ]U[2π/3+2kπ5π/6+2kπ]

{1/2≤sinx≤√3/2

1232●(√2+√4)

1232●(4+2)√6

1232●4+2³√2+³√4/6 |1/2–³√2|

1232●[–π/6+2πn; π/3+2πn)U(2π/3+2πn;7π/6+2πn]

1232●0,5

1232●121

1232●288 ñì³

12320●π/4+π/2n,n*Z

12320●1

Íåò ðåøåíèé

123214●25

123215●30

12322●ctg² α

123226●10

123221●2cos α.

123122●141.

12322313●3.

12323●√2x+3+0,5sin2x+3x+C |f(x)=1/√2x+3+cos2x+3|

1232323●2.

12323●3(5√2–6+3√6–4√3)

123231●(0;0;0)

12323125●3,6.

1232323●2

Ordm;

1232440●0<x<1

12326●54

123264●54 {b1=2,S3=26. Íàéòè b4.

1232844132●[–4;–1)

12329●(1; 0)

1233●–4 (åí êèøè 1/õ+2<3/x–3)

1233●(0; 27)

12330●(–4,5;–2)U(3;∞) {1/õ+2–3/õ-3<0

123314331133●15/33 (12/33+14/33)–11/33

123321●(13;–5)

123324681015●1

1234●1/4

1234●2√õ+2+4 cos(3-x/4)+c

1234●D(ó)=(0;+∞) 2)õ=1; 3) [1; +∞)

1234012340101● 0,01106.

123402●12,08.

123404●10,32

1234142131●1/a³

123429●13

12344●[–24;0] |√1–2õ+3=√4–4õ|

1234567891025●16

12346●0,8

123460●(–1)k π/18–π/12+π/3k,k*Z

12349●à=2/3

1235●11/(3-5x)²

1235●162 |b1=2.q=3, b5?|

12350175207●5/6.

12351●4

1235143347739●10/17

12354●4

Íàéäèòå ñóììó ïåðâûõ ñåìè ÷ëåíîâ)

Íàéäèòå ýòî ÷èñëî)

Ðàáîòó âìåñòå)

123636252●√6

1236●4(√6–√3)

Îïð ñèí óãëà ìåæ âåêòð)

Cm (âûñîòó ïèðàìèäû)

Òåíãå

12371●57

Ordm;.

12375026425152508001601207●1/3

Íàéá)

123869●2 2/3

12389●1

124●4(1+x-x²)³·(1-2x) {ó=(1+õ–õ²)4

124●[–π/4;π/4] |tg≥–1 x*(–π/4;π/4]|

124●8π

124●(1;–4) |ó=(õ–1)²–4|

124●1/4 tg4x+C |f(x)=1+tg²4x|

124●cos4α

124●(4;∞) | f(x)=√x+1+2/√x–4 |

Ordm; (óãîë ðàçâåðòêè êîíóñà)

1240●–4≤x≤1; x≥2 |(õ–1)(õ–2)(õ+4)≥0|

1240●1080

1240●88

1240●45x51; x≥2

12400●õ=48

Òã

1240288●20%

Íåò ðåøåíèè

12411●26

12411536934●84êì/÷; 112êì/÷

124120●3,1

Ãà

 64ðàçà (îáúåì ïàðàë)

K,

1242●π/2+2πR; R*Z

1242●y=-2x+3

A

1242242436●õ–2/õ+6

12423●–11. |õ–1/2=4+2õ/3|

1242402●6

124242162●â–2à/4(â+2à)

1242424336●õ-2/õ+6

1243●(√2–4√3)(√3+√2) |1/√2+4√3|

1243●–21;22

1243●3

1243005●y=1-x

1243005●ó = õ + 1.

124304513●[9;∞)

124305●ó=1–õ

1243123●(3/4; 2)

1243135●b3=3 (b5)

1243220●[–3;–1] U[1;+∞)

124322102●6√2

12434●q=3

12435●3. |logx 1/243=–5.|

12436●–24

12440●500

Òã

124420321●90°

12443●3

12443●9 (Ñóì áåñêîí ãåîì ïðîãð 12;–4; 4/3…)

1245●150 (Íàéá óãîë 4–óã)

1245●30°

124533444114181123718●1.

1245334441141811237185●6/7

124533444.. ●6/7

1245334441141811237185●6/7

1248●õ=400

1248●12 (Óê ÷èñë 12/48)

12488●±384

1249●a=2/3. |a ∫ a 1–2x/3 dx=4/9.|

1249522●7/20

Ãèï áèññåê ïðÿì óãëà)

Ñì (Íàéäèòå äëèíó îêðóæíîñòè)

125●0,8

125●30 ñì² (ïðîâåä ê ýòîé ñòîð)

Cm

125●2; 7; 12; 17; 22

125●27

È 5 ñîîòâåò)

Ordm;

Êì

Km

Ñì

12500760●510

12502106929837500300●500

12510●30

×åìó ðàâíî ýòî ÷èñëî)

12510●65 ñì² (ïëîù áîê ãðàíè)

125113121415●1

125122162641145●132.

1251222●1/2

125123124●(1/2)12

1251242●(0; +∞)

125125●±√n³/125

125142●–8

ÍÎÄ)

ÍÎÊ)

 125ðàç

125175825●94,96

1252●6

1252●6 |(õ;ó), {√õ–√ó=1/2√õó, õ+ó=5,íàéäèòå õ+2ó|

125213●2

125224234●(–4; 0,5)

1252251●1/625; 5

125232532●3/2

125240●(–3;–√5)U(√5; 3)

1252451852925223●–0,3

125257010840●–2; -1

1252570840●–2;-1

1253●14

Ñì (ñóììà âñåõ ðåáåð êóáà)

125315004053●–0,2.

125322●1/2.

12535114●4,2

12537●3

1254●3 (êîë–âî îòð ÷ëåíîâ)

1254●3 (êîë–âî îòð ÷ë äàí ïðîãð)

12544●8 |12 ∫ 5 4/√x+4 dx|

1255●–2. |1/2–√5+√5|

1255125125●3

12552122504●1•1/3

1255254●164

125531255312553●1/30

1256●176° (ïðèâåäåííûé óãîë 1256°)

Ñêàëÿð ïðîèç âåêòð)

125654050●–1

1257●2√5+√7/13. |1/2√5–√7|

1257●2x6–1/7 sin 7x+C |f(x)=12x5–cos 7x|

12575●60

12582532●10.

125844●16 |12 ∫ 5 8√x+4/x+4|

12586●56

12588208●82.

12593264502●34

126●a=6

Äíÿ (Îäèí ïëîòíèê)

126●(–5; 0)

126●12√3; 18; 24

126●(0;3) |logx+log(x+1)<log(2x+6)|

1260●12+6√3

Ñì.

126015●60 êì/÷ (ïåðâîíà÷ ñêîð ïîåçäà)

12601802●1080√3ñì³

126030●10,8

12611311●–3.

12624●24/5

12630●18cm²

12630125●9

126486●–728

1266●5

127●3,4

Ordm;

1270●3; 4

127001050●1020°.

127001050●780° (cosx=1/2 700<x<1050)

12710●4

1271013●(2,5;4)

127121●3

1272456●(–1;–2)

1273●7<x<15.

127312●9√3

1273253254●5.

12731213●24;93

12733231●24;93

1273337●3/7.

12735●–0,5; 0; 0,5

12750●(3;7]

Ordm;

1275315835●–10,4

12754251811220420●24

Äíÿ.

12772●128

128●(-∞;-3/2]

128●10 ñì. (äëèíà 3 ñòîðîíû ∆)

128●(0;3) |1<2x<8|

12813●3,2; 9,6.

ÍÎÄ)

1282●8 lgx+lg 1/x²=lg8–2lgx

128210●(–0,5; 1,5)

12822024..●4,5.

12824402●–4;–2; 2; 4

12824402●(–4;–2)(2;4)

12824402●{–4;–2;2;4}

1282510●23

12826●46ñì (ïåðèì ïàðàë–ìà)

128313183●√2ab(a+b)(ab-1)

Ctg8x

1285●60;15

12851255●1/2

12860●24√2

12881366842931511291●1.

128889●0

129●27

12900●108

12909192179●1

12921537●72.

12930●27

Ñì

Íè÷åòîå, íè íå÷åòíîå

13●(–∞;+∞) {y=(1/3)x

13●1

13●1/3 sin(arcsin 1/3)

13●(100; 10) | {lg x–lg y=1 lg x+lg y=3 |

13●(–∞;–2)(4;+∞)

13●(–∞;5] |√x–1=3–x|

13●–1/2x²+x²/2+c

13●–4/9 |sinα•cosα, sinα+cosα=1/3|

13●{4;–2} |x–1|=3

13●3x²(ex³+1)

13●–π/6+πn,n*Z |tgx=–1/√3|

128210●(–0,5;1,5) |12–8õ/2õ+1>0|

13●õ²–õ–2=0 (ïðèâ êâàäð óðàâ)

13●(0;–5/3)

13●(–2;4)

13●1/3 |sin(arcsin1/3)|

13●10 | √x–1=3 |

13●2√2/3 | sin(arccos 1/3)|

13●–3

Sin3xe1-cos3x

13●–4/9 |(a=1/3 áîëñà)|

13●–4/9 |sinα cosα, sinα+cosα=1/3|

13●4; -2 {|õ-1|=3

À5

13●9:1

 êàêîì îòíîø äåë åå âûñ)

Íåò ðåøåíèè

13●Øåøèìè æîÊ |1–x≥3–x|

13●18,3 è –5,3 (ñóììà êîòîðûõ ðàâíà 13)

13●x>3 |1/√x–3|

130●1 |y=√x y=1/3x√x X0|

Ordm; (Í âíåøíèé óãîë ïðè âåðø îñòð óã)

130●(–∞;–3)U(1;+∞)

130●x>1 ( log 1/3x<0 )

130●2 |x+√x–1–3=0|

130●4π {|y=√x,x=1,x=3,y=0|

Òî åãî îñòðûé óãîë ðàâåí)

130●50º; 50º; 80º (Îïð óãëû ∆ ÀÂÑ)

130●65º,115º,65º,115º (óãëû ïàðàë)

130●1/2 |y=√x, y=1/3x √x, x0|

X

1300●1

130010●0<õ≤300

130110130110●–√3

Ñì è 3ñì

1302●2√2/3

13020●56%

Ñì è 3ñì

13023100●2

ÑÀ æàíå ÑÂ)

130301303●100

130323●5 5/12

13045●2√2/√6+√2; ...

1307523512●1.

M

131●16

131●3/3x+1 |f(x)=1n(3x+1)|

131●x=–1

131●sin1/x³–1 |f(x)=sinx, g(x)=1/x³–1|

1310●[–1;1] {(õ-1)³(õ+1)≤0

Ïëîù áîê ãðàí)

131000●(0; 9)

131000●13/100

13102●–12 |ó=13–10õ+õ²|

13109●1/81 (4 è 2–ãî ÷ëåí ïðîãð)

131102341684●3/4

131027302425264193●8.

1310942●1/81

1311●3 |õ+3/√3õ–1=√õ–1|

1311●1/2 |x/a–y/b=1 x/b+y/a=3 (1;1) à íåøåãå òåí|

131102341684●3/4

1311023416840000112●3/4

131110151015111●24

À)

B

13113413144●–3

1311350●ó=–7

13119●[3; +∞)

1312●(1; 10]

1312●156 ñì²

Ñì

1312●25 π cì² (Íàéäèòå ïëîù ñå÷åíèÿ)

Ñì (ïëîù ñå÷åíèÿ)

Ñì (Âû÷ ðàäèóñ îêðóæíîñòè)

1312●65 π ñì²

1312●9/24; 10/24; 11/24

13121●(–1;1/2)

13121●ñ/ಖà+1 |(a+1)(a+c)/a³+1–a/a²–a+1|

131220●162

131222●221π ñì²

131222222●x²+y²+z²+2x–6y–2z–10=0

131223121169●(1;2)

131224●(0;3)

U(1;2)U(2;3)

13125●750

1312500●150

1312521230●–1/3; 1,5

131258●26

13128●50 ñì²

Åí óëêåí)

1313●x²–2x–2=0 |1–√3 è 1+√3|

1313100●b<a<c

131312●90.

131320●8

13133●3

13133●4/3 (tgx+1/√3)(1/√3+tgy),x+y=π/3

13133325●2;–9

131341327●6

131353●(3/5; ¾]

1314●(–4/3;∞) |ó=log 1/3(3x+4)|

Êîñ ìåíüøåãî óãëà)

131415●12ñì; 11,2ñì; 168/13 ñì

131415●42cm²

131415●16 ñì π³ (ïëîù âïèñ â∆)

131415●28 ñì² (ïëîù ∆ÀÎÂ)

131415●3/5 (ê³ø³)

Yëêåí)

131415●84cm² (ïëîù ∆)

131415●4ñì (ðàä âïèñ â ∆ îêð)

13141511223341112●m–10

13141514●6√5 ñì (âûñ ïèð–äû)

131415253●14cì (âûñîòà ïèð–äû)

1314154622●924ñì³

1314155●3

13141584●672ñì²

131420●(–∞;–2)U{–1}U[1;∞)

1315●10

131514●168ñì² (ïëîù ýòîé òðàïåöèè)

131520●(–2;–1]U[1;∞)

13154121162●5

Ñì.

1316●(64;16)

13169●13

1317617●7/17 (13/17–6/17)

13172177●1.

1318●270

Cm

131812●896π

1318518●8/18

131922●24;

132●[9;+∞) |log 1/3x≤–2|

132●x=1±π/6+2πk,k*Z {cos(x–1)=√3/2.

132●127

132●2 (óâåë ñâîþ ñêîð–òü)

132●35

132●3,5

Òóïîé óãîë)

132●(0; 9]

132●{1; 3} |x–1|+|x–3|=2

132●[1; 3] {|õ–1|+|õ–3|=2

132●±2π+6πn, n*Z

132●1/sin2 {|1+ctg(π+a) tg(3π/2-a)|

132●1/3 tgx+Ñ

132●1/cos²α |1+tg(π+α) ctg(3π/2–α)|

132●–1;–1 2/3

132●1; 1 2/3 ( ó=(1/3)sinx–2 )

132●–17

132●3;1;–1;–3;–5 |à1=3; d=–2|

132●3, 5, 7, 9, 11

132●3,5

132●–6; 6

132●√a+3+2/a–1 |1/√a+3–2|

132●x=1±π/6+2πk,k*Z |cos(x–1)=√3/2|

132●1/3tgx+C {f(x)=1/3cos²x

1320●(0; 0) (√2; √2)

ÀD kàáûðãàñûíûí óçûíäûãû 12 ñì

1320●(π/6+πn;5π/6+πn),n*Z |1–3sin²x<0|

Ñì

1321●x²-2x-3=0

1321●–x²+3x+3=0. |x1=3, x2=–1|

1321●(–1;2] |õ–1=3√õ2–õ–1|

1321●(3/2;2)

1321●õ²–2õ–3=0

1321●3√4+3√2+1 | 1/³√2–1 |

Êîîðä âåêò ìåäèàí ÀÊ1)

Åí êèøè)

Åí êèøè)

1321311339●–3

132135132●x>3

13216●–11 |õ–1/3+2=õ–1/6|

132168●12 (a1=3 d=2, ñóììà ðàâí 168)

1322●3–2√2 |1/3+2√2|

U(2;3)

13221322●6

1322113532●(–∞;–1]U[0;0,8]

| (x–1)²(2x²+1)≤(x–1)³(5–x–3x²) |

1322113532●(–∞;–1]U[4/5;1]

13222●√3

13222223●[4; 4,5)

U(4; 4,5)

X2(xm-1)2

13223●1/27à³â6+1/3à²â6+àâ6+â6

132230●[1;+∞)

È 3

132234●1/2

1322412..●2.

13227512●34,24

1323●12 (b1=3,q=2, b3?)

Ìåíüøè óãîë)

1323●2 1/27 |1/³√x–2=3|

1323●(–1;2) |(1/3)√õ+2<3–x|

X

13239●(1;2)

1324●16

1324●±5

Áåò

1324041549●2,45

13241324●4. |1/3√2–4–1/3√2+4|

ßâë íîìåð 8.

1324231●(–3;–1/3)U(3/2;∞)

13244●9 1/3

1324514●13

132462439●(1;3)

1325●2õ+3ó+11=0

132504●D(–3; 12)

13251125●24/25 (13/25+11/25)

13252●144π

132520●(3;23)

13253331●2;–9

1325618●x≥32

132568●[12;∞)

132578●M(–2; 5; 3)

132613127●x<–2

13263132136●16.

132631321360505250002●16.

Íà 12 (âîëåéá, ÷åì áàñêåò)

Íà 12

1327●121 (1–ûõ 5–òè ÷ëåí ýò ïðîãð)

1327●203

1327●105 (1–ûõ 7–ìè ÷ë àðèô ïðîãð)

1327●S5 =121

13270●4,33

1327138●4

13275●x>1,1

1327501●–40

1327512●34,24

1329●(–∞;–4) (1/3) õ+2>9

13293●n=5; b5=48

1329575●(1/2; 3)

133●3,5; 0,5 |õ–1|+|õ–3|=3

133●a²+6a+10

Òóïîé

133●π/16+πn/2≤x≤3π/16+πn/2,n*Z |y=1–√3tgx–√3|

133●π/6+πn≤x<π/2+πn,n*Z ( y=1–√3tgx–√3 )

1331●(2;2)

1330●á)–3 è ó 2√3

1330●π/3+2πn/3,n*Z

13302●2√2 13;0

13302●2√2/3; 0 |f(x)=cosx–1/3cos3x [0; π/2]|

13302●íàéá f(x)=2√2/3;íàéì f(x)=0

F(x)=cosx–1/3 cos3x íà îòð [0;π/2]

133034●0; 1 1/3

13312●Net (1>33/12)

133122●–cos x/3 +sin x/2+C |f(x)1/3sin x/3+1/2cos x/2|

133122●–133:a²+6a |410cos x/3+sin x/2+c|

1331524●âîçð (–∞;–1]U[4;+∞); óáûâ[–1;4]

13316●1/3õ+1

Êîîð òî÷êè)

1332●37

Ó÷ â êëàññå)

1332393101●0,5

133240●(–1;2)U(2;3) {(x+1)³(3–x)(x-2)4>0

133241●–2<m<2

Áîëàòûí ñàíäû òàáûíûç)

1332526●5

13328112122●–6

13329●10

1333222222●2(x+y)(x²+xy+y²)

133325●5 |[1;3], f(x)=–x³+3x²+5|

Åí êèøè ìàíäåðèè)

1334●(–4/3; ∞)

1334●1/4 |(1/3)log34|

133411●(–7;+∞)

133411●x<–7

13343132●3

13343132●3–3, 25

133468122612●–1

13352●(1;√3)U(9;∞)

13352263214●41/6

1336●156

13362●156ñì²

13365●2

1337●(2;1),(–1;–2).

133785123●1/6

1339●(–∞;5] (1/3)3–õ≤9

1339●–4/3

134●143

134●15√3/4

134●Net (1<3/4)

1340●[3;7)

1340250812●1,1

134111115●10 5/7 è 14 2/7

134111175156●0,25.

134122313423120●0; –1,5

134122313423120●õ1=0; õ2=-1,5

134181●20

1342●3e 1/3x+4 +2cosx+C

13421●(–∞;4]

134231●(1,5; 6)

1342789463796●6

134310123112●6

S ïðÿìîóãîë)

1345●

1345●(1/3;4/5] |1/3<x<4/5|

1345120●(–1;0) {√õ+1(õ–3)4õ5/(õ–1)2<0

Ñì.

1348121●11

135●–1

Ì

135●6 |√õ–√ó=1, õ+ó–3√õó=–5, íàéäèòå √õó|

135●8 (åãî êàæäûé óãîë ðàâåí 135º)

135●60π ñì²

Áîê ïîâ öèë)

Ñòðîÿ èìååò)

Ì,90ì (ïðîâîëêà)

135●27 (ïåðèì ýòîãî ∆ìîæåò áûòü ðàâíî)

1350●12; 15êì/÷

135027●(12, 15)

1350273●15êì/÷; 12 êì/÷.

1350233320●[3; 5]

1350323320●[3; 5]

Êã

1351●–1 {a1=3 a5=–1

Ñì (íàéì èç ñòîð )

135115●4

135115531●{2}

1351221230●–1/3;1.5

13513●2/5 |b1=3/5, a q=1/3|

13513●9/10 (b1=3/5, a q=1/3)

1351652●9.

Cm

Ì, 90 ì

Ì,90ì(ïðîâîëêà)

1352●8

135210225●–√2/4

135210240300●3/4√6.

135233320●[3; 5]

135240210330●–3/4√6.

13522●(-2; 2,5)

1352250●19

13523231●1·4/15

135240210330●–3/4•√6

1353●³√25+³√10+³√4/3

135317●1/2

13532●³√25+³√10+³√4/3.

13533●³√25+³√15+³√9/2

1353250●1

Ìåíüøåå îñíîâàíèå)

13538●6

Ïëîù òðàïåöèè ðàâíà)

135381●3

Ñì

1356●276π ñì³

135715●–4; ±√6; -2; -6

135719●5y+13x–30=0. (ìåäèàí BM)

135719●y=–2õ+5 (ìåäèàíó ÀÊ)

13581●3

136●1,5

136●16

Êì.

1360●(–5;–1);(5;1) |õ+ó/õ+ó+õ–ó/õ+ó=13/6 õó=0|

1360004112●12

13600251240240●70

136014601560●1

13608060880●8

13621202●320 ñì³ (îáúåì êîíóñà)

Ñì

13624 ●8(1/3x–6)²³

13626●Da (13/6>2/6)

1363393●1/2

136383●x<–2

1365●(–5;–1)(5;1)

1365●(3; 2); (2; 3)

1372●3; 3/7; 3/49

1372●(–2;7). |log 1/3(7–x)>–2|

1365●(3;2),(2;3)

1367●1/3•ln|x|-7x6/7+C

1367●–1/3ln lxl-7% +C

137●126

Ì

M

Âûñîòà âîçì)

137115113●1 2/7

13712●2; 1; 4;–5. ( bn+1=–3bn+7, b1=2 )

1371281337●–2,25

13713●[–2;3] |õ–1=3√7õ–13|

137137●3

1372●(–2;7) |log 1/3 (7–x)>–2|

1372●3; 3/7; 3/49...

1372150●(–∞;–13)U(15; +∞)

1375100●b<a<c

13752411...●2,7

137524117754561131438856●2,7

138●(0;8)

1384●20

Òûñ.òã

Tg

1386450026571427109●38.

1387●1/3 ln |x|+7x7√x+C

139●–2 |log 1/3 9.|

13915181391526118261●13200.

13922●24

139276561●9841

Êì

1395●–1 |tg 1395º|

1398113●3

Îáë îïðåä)

14●28ñì. (Îïð ïåðèìåòð ïðÿì–êà)

14●5; 5; 6. (Íàéòè ñòîðîíû ∆)

14●213

14●1 2/3 |y=√x, y=1, x=4.|

14●1*213

14●28/3

14●63

14●x²/2-1/4sin4x+C

14● –1/2√õ (√õ-4)2

14●1•2/3

14●1 (2/3){ó=√õ,ó=1,õ=4

14●2/3

14●3≤ x ≤5

14●[–3; 5] |1+4sinα|

14●4 |√y/x+√x/y, x/y+y/x=14|

Sin4x

14●63 (1–ûõ 10–òè ÷ëåíîâ ýòîé ïðîãð)

14●àn=3n–2

14●ó=5õ-3

14●õ2/2-1/4sin4x+C

14●õ²+ó²–4õ–21=0 è õ²+ó²+10õ+14ó+49=0

|Êàêèå èç îêð ïðîõîäÿò ÷åðåç òî÷êó À(–1;–4)?|

14●(48, 40)

Ordm; (Îïð âåëè÷ äðóãîãî âïèñ óãëà)

140●110ãðàäóñ (òóïîé óãîë ïàðàë–ìà)

N.

140●(40º ;40º ; 100º)

140●200;900;700

140●20º; 90º; 70º (Óãëû ∆ ÀÎD)

140●πn, n*Z

140●80,60

140●…,975

140●7,5π |Îáúåì òåëà ó=√õ, õ=1, õ=4, ó=0|

140010035●500; 600; 300.

1401050●à1=10; d=10

140121251●60,80

Êã;60 êã

140125●60,80

1402●√15/4

14042313●p–2r–3s

14052●440

14065●50

14065●50°

141●1/4cos(1õ/4–1)

1410515●(2)

141070210●1

141070210●2cos10 | 1–4sin°sin70°/2sin10° |

14110●4

141102203096●1/25.

14111234●24

1411221●12,18,3,2

Cm

141141375●0

1412●1/16 (b1=4,q=1/2 æåòèíøè ìóøå)

141211●18.

14121314●24.

14122512811212513●9

14127232●{8;10}

141303●13

141314●5/3

1414●4/16õ²–1 |y=ln √1–4x/1+4x|

A

1414163241●4√à-1/à

141425●6; 8,4

1415●68

Ñì

1415213714●28.

141589123●–1/9

1416●(–3; 3) | 1 ∫ õ 4dt>–16 |

Ordm; (Óãîë À â òðåóã ÀÂÑ)

Ñì (ñðåä ëèí òðàïåöèè)

141813●d=–1

1418234●à4/b9; b7/a3

141850403●1500ñì²

1419●266 ñì² (Âû÷ ïëîù ýòîé òðàïåöèè)

142●x–ëþáîå ÷èñëî |y=1/4+x²|

142●(–2;2)

142●–1/4•x-5/4-2/x

142●180. (1–ûõ 12–òè ÷ëåí àðèô ïðîãð)

142●3

142●71° ìåí 109°

X-êåç êåëãåí ñàí.

142●√15/4 |sinα, cos α=1/4, 0<α<π/2|

1420●(π/6+πn;5π/6+πn), n*Z {1–4sin²x<0

1420●(-π/6+2πn; π/6+2πn),n*Z

142002●4π

1421●(1/2õ+1)²

14210159●199,5 |a1=4,2 è à10=15,9|

14212●2.

142114221●2

Åí êèøè)

14214●2

142165●1

1422●11

1422●π/2n, n*Z, π/4(4ê+1)

1422●π/4 (2ê+1), ê*Z…

1422●–(4√2+√1)(√2+1)

1422●98ñì² (Íàéäèòå åãî ïëîùàäü)

1422114221●2.

142211621422●–15.

1422142219●2/3

1422142219●213

142222●cos2α.

142257125415 ●7.

1423●(2,3; +∞)

14230●–1/2;3/7

14230●(-1/2; 3/7)

Åí óëêåí)

M8 n4

M8n4.

1423542355●6.

1423601●3;–25

È 8ñì.

Cì è 7ñì.

142590034●9

14273●6

Ñì íåìåñå 112 ñì.

1428●140 cm (ïåðèì ïàðàë–ìà)

1428●140

14292323●2(2x²+6x+5)14x²-9

143●(0;3)

143●484. {b1=4,q=3

143●(0;3) |{|õ–1|+ó=4 õ+ó=3|

143●–4372 {b1=–4,q=3

143●14xln14+3e3x

143●484

Ò. (Ñêîêî êàïóñòû îñòàëîñü)

1430●102

143017●1650 ñì²

143137168●2

143143●(0; 3)

S ôèãóð îãðàí ëèí)

1432●1 2/3

1432●–(4√3+√2) (√3+2)

1432●1•2/3

Càóëå ïðî÷ â ïîñë äíè)

143230008102...●26

1434●0,5

1434●–80 |(bn),b1=4, q=–3 S4=?|

1434●(±π/3+πk+πn; ±π/3–πk+πn)n,k*Z

14351142434218●1·1/60.

1435482●300 ñì² (ïëîù áîëüø ∆)

1435751411408●1.

14380●(-3,8; 1,4)

U(1;2)

144●24

144●–97/128 (cosx+sinx=1/4, cos4x?)

144●1/5x5+1/4e4x+3/4

1440●10

14401●π/4

144133615763411612●(2;5,5]

144144●cos 2α

Cì (äèàãîíàëü)

Ñì (ñòîðîíû êâàäð)

144214●2016 ñì³

Cì (Äèàãîíàëü ïðèçìû)

14422252●4/5 (Íàéäèòå îòíîø äëèí ðàä îïèñ îê ∆)

Óãë íàê áîê ðåáåð

14423182●–217

1442331221●(–∞;0]

144239 ●3;0

144239223●(3; 0)

Íà 48 (âòîðîé ðàáî÷èé, ÷åì ïåðâûé)

1442517●676π

Îòíîø èõ îáúåìîâ)

14432●144√2ñì³ (îïð îáúåì òåòðàýäðà)

14433205●7,75m/c²

144332●7,75ì/ñ²

144382●–2,4

1444●1

14443332●[0;1]U[3;∞)

1444932●2à/7b

144524●4

X5

1448●18

14484●–2,4

144850403●1500ñì²

14488●400cm²

1449●7 %.

Tg

1449640●2400

Òã

Òåíãå

145●60%

145●24 cm²

Ãà.

145●420

Ñì

1451●(–∞;–3)U(3;+∞)

14512●(–∞; 4,5)

145113●3,2 { –|14,5|–|–11,3|

145113●(–0,2; 4,6)

14520●íåò ðåøåíèè √õ–1+√45=√20

14522302203●–5,2y²–2,6y+1,4

14523●310.

145235●{–2;2}

145314161654●4.

145337172●–9

14542●16

14542336●96

1456025●58.

145615105●20,8

1456925●58

146●73°

146045●343

146070●12

Òã

147●40 %.

147101316219161116●146

1471211●1/x7+1

1471314725313●220

1472●–5;3

1472●–5 è 3 (Äèàìåòð îêð ÌÊ,(–1;–4)è Ê(7;2)

147422●8 |14 ∫ 7 4√x+2/x+2 dx|

1478●Ñ=30

Äåò,40äåò

X

1481731641●arccos 3/5

1482014216●–1; 62/39

148201421675244●{–1; 62/39}

14832●Â(–8; 4)

1483567529●64,05

148521034041020●10/20

149●2

149●2êì/÷ V

1490●1/2

14927●(–∞; 1]

14955●2 êì/÷

149526●n=14

14955●2êì/÷

S25●–9864

15●y≥0, y≠25 | y+1/√y–5 |

15●0≤y<5, y>5 | y+1/√y–5 |

15●à6=5 (6÷ëåí ïðîãð)

15●15ñì (ðàä âïèñ â ∆ îêðóæ)

15●75º (áîëüøèé óãîë ∆ðàâåí)

15●√6+√2/4 |cos15º.|

15●[0;16] |y=arccos √x+1/5|

15●20êì/÷

15●12êì/÷ (ñêîð 1-ãî âñàä)

15●10 |logx=1+log5|

15●(–∞; 4)

15●10% (ðàçâ óãëà ñîñò 1/5 ÷àñòü)

Ñì (Âû÷ äëèíó îêðóæ)

Ïðîö óâåë ïëîù êðóãà)

Êã

15●6 |f(x)=1–x, x=–5|

15●√3–1/2√2

15●[–4; 5] |õ–1|≤5

15●–5 |õ–1|≤5

15●(18;∞)

15●225 ñì² (òîãäà åãî ïëîù ñîñò)

Sm (Íàéäèòå ñòîðîíó ðîìáà)

15●38

Cm (ðàññò îò òî÷êè À äî âòîðîé ïëîñêîñòè)

15●2

15●3 ÷åòâåðòü= 2√6

×

15●5ñì (ðàä âïèñ â ∆ îêðóæ)

Äíåé

15●(1–√3)/2√2•(15ab+5b2)

Á)

15●[–1; 5] |–1≤õ≤5|

Ìèí. (6 ìàøèíà ñîë óàêûòòà áèòèðåäè)

Ìèí

15●2<x<5 lg(x+1)>lg(5–x)

15●2–√3 |tg15°|

15●2√6 |tgα, cosα=–1/5 è α ëåæèò â III ÷åòâåðòè|

Ñì (Âû÷ äëèíó îêðóæíîñòè)

15●5tg5x/cos 5x

15●5tg5xsec5x f(x)=1/cos5x

15●5/√26 sin(π–arcctg 1/5)

15●à6=5 (øåñòîé ÷ëåí ïðîãð)

15●30π

S êâàäðàòà)

Àñòûқòûң ûëғàëä-í

àíûқòàó үø³í îíûңÆ:15%

150●(100;200)

150●sin30°=1/2 |sin150°|

150●cos60°=1/2 |sin150°|

150●–√3/3 |tg150º|

Ñòîð èì ïðàâ ìíîãîóãîëüíèê)

150●(–5;+∞)

150●15 πì²

150●150 ñì² (ïëîù îñåâ ñå÷ öèëèíäð)

150●125cm³

150●S=300êì, L=150êì (Òðîëëåéáóñ)

Áîëòîâ

150●12π (Îáúåì òåëà ó=√õ, õ=1, õ=5, ó=0.)

1500●15ö/ãà

×åë óâë ñïîðòîì)

150016●6400 ì²

150020●15ö/ãà

1500201600115●15.

15002●750

150113●100 {íàéòè b1, q=1/3

Îïóù èç âåðø ïðÿì óãëà

150120●√3/4

150147●54

15015●12

150150●cos α

1502●125

1502●125 ñì²

1502●125 cm³

15020●200ñì²

150210135●√3/4 |sin150º•cos210º•tg135º.|

Êã.

Êã

15023●–5

15023●–5 |(õ;ó) {√ó–√õ=1, ó–õ–5=0,íàéäèòå 2√õ–3√ó|

Áîëò

1503020●21

Âåêòîðû à è b)

15034●√3

1503560●15

Ãðàìì

Íà50ãà

Òåíãå

150523●30

1505233●30

1506●30π ñì² (Íàéäèòå ïëîù êðóãîâîãî ñåêòîðà)

151●cos1, sin1, sin(-5) |sin 1,sin(–5),cos 1|

151●0,5 lg(x+1,5)=lg(1/x)

1510●4π ñì² (íàéä ïëîù òîé ÷àñòè)

151020845●108,6

151025●0

1510213●6

151025310●–5

Ñðåäíÿÿ ëèíèÿ ðàâíà)

Ë

Ë

15107●–1/8

151110●120.

151103239●15

1511207●47

151151●2

1511511●1,5

151151511●2

1511515115●–15/4

1512●2/5

1512●6

1512●2 m=15n/12/n

Ñì (Âû÷ ïåðèì ðîìáà)

15120●1/8

151204●1200

151211023●n=10,q=1/2

Ordm;

15125●(0;3)

15125●(0;3) |1<5õ<125|

15125125●22

15126122●3

1512712●21

1513●–15/(5x–1)4

1513●(–∞;–1/3)U(–1/3;+∞)

1513120158●48,80,12,12.

1513311012●1–33à/2à(3à+1)

15136123●17

151391320●4 êì/÷àñ.

1514●6/25.

1514●6125

15141813●21/220.

151419●2; 5; 8 èëè 26; 5;–16

1514453●240

151447●1

151456105●20,8.

1515●arccos 1/5+2πn<x<π–arcsin 1/5+2πn,n*Z

{sin>1/5 cosx<1/5

1515●√2/2. |cos15º–sin15º|

1515●1/4. |sin15º*cos15º|

15150●–1 lg15–lg150

151513●π/4+πk,k*Z

151515●–tg15°

151518●[1/8;+∞)

15152●12 êì/÷

151524●12,5

1515400●125

1515415415●–4

Ñì

Ñì (äëèí áîê ðåáðà)

Åìêîñòü)

Ñì (Íà êàêîì ðàññò îò ñòîð êâàäð óäàë)

151637●n=25; S25=–1975

1517●8 (ÀÂ òүçó³ ðàäèóñ 15ñì öåíòð Î íóêò)

1517●4 {√15 è √17

1517●4

Ò.

15172●35;7;5

1517313513●3375.

1518●1/4 |ó=àõ A(1,5 1/8).Íàéäèòå çíà÷ à|

15182●16

×àñîâ

Òåíãå.

152●[–5;–2)U[3;∞) |f(x)=√x–15/x+2|

152●[–5;–2)U[3;+∞ ) |y=√x–15/x+2|

152●√5 |y–1=√5–x²|

152●–1(x²+5)

152●–2√6/5 |cosα,åñëè sinα=1/5, π/2<α<π|

152●12êì/÷

152●√5–1 | √(1–√5)² |

Âñå ìàë âûï çà)

1520●12

Íà÷àëüíàÿ äëèíà ìàòåðèàëà)

Ñì (Óêàæèòå èõ ðàçíîñòü)

1520●(–∞;–2)U(–1/3;0) |1/õ+5/õ+2<2|

1520●0≤x≤1 èëè õ=–2

Ñì (äëèíà ñòîðîíû ÀD)

152020●44%

152035●37

15207802●1950ñì³ (îáúåì ïðÿìîé ïðèçìû)

15209●108 ñì²

Ìèí

15210●–5à/4b

Ñì (æàñàóøûñûí òàáûíûç)

15210322201●100

152108212●–5a/4b

15211121●4:8

Cì (äëèíà ñòîðîíû ÀD)

Äëèíà ñòîðîíû AD ðàâíà 12ñì

152122813●50

152123410●5115

15212813●50.

1521281305●25

152132●2√2–29

15216●(2;3) | {y=x+1 5x+2y=16 |

15216●(12; 3)

1522●√2 |õ+1=√5+2õ–õ²|

152216●12π sm³

152220●3

15222308●õ=15

1522621533●13,2

Ãà.

15233013603●10 kg; 69%

1523423623●17/23 (15/23–4/23)+6/23

Ñì (âûñ áîê ãðàíè)

1524●±5.

1524●5

1524●20

1524●q=2, S=46,5 (Íàéäèòå çíàì è èõ ñóììó)

Ñì (íàéä âûñ, îïóñù íà îñí)

Çà ñêî-êî äíåé çàêîí÷)

15243●–3

152455375113●2*1/125

Ñì (ðàññò îò âåðø Â)

1525●5

1525●155{b1=5,q=2,n=5

15252●õ>5/3

15250823●5

1525202●5xy(3y+1-4x)

1526●5√6/4

15261523●(3;+∞)

1526220●3.

152664●{(2,32)}

1527003●720ñì² (îïð ïëîù ïðèçìû)

Ñì.

152715125●16 1/9.

152715125●145/9

15271527●14

152821012●–5a/4b

1529524●(–3; 5]

153●–1/x²-5e-3sin 3x

Ñì (äëèíà îñíîâàíèÿ)

153●138

153●90cm. (Íàéäèòå ïåðèìåòð ∆)

153●15√ಠ|à1/5:³√à|

1530●1/5 |f(x)=–15x+3, f(x)=0|

1531●(2;–2)

1531551●(0;8)

1531551●(5; 8)

1532●Ì(7:–1)

1532●–5; |–1|;|–√3|;|–2|

Ì (ðàäèóñ)

153200●4 |b1=5; q=3; Sn=200.|

M (ðàäèóñ êîíñóñà)

153225●8

153248●45/2 {Âû÷èñ (15/32)48

15325●(-∞:5)

15323130●–20.

1532322360450●1170

153248●45/2

15325●(–∞;5)

1533●2 |y=√15–3õ–sin πx–3|

15332●5õ |15õ³:(3õ²)|

M

15338●40x² |15x³:(3õ/8)|

15345●30

1535●2x³/3

X

1535●9,375; 5,625

X4

Êã, 5,625 êã. (â ñïëàâå îëîâî è ñâèíöà)

1535●(3;–1) |ÿâë ðåø óðàâ 1,5õ+ó=3,5|

1535●4 (Íàéäèòå îòíîø b3/b5)

15351●(5x+1)(3y–1)

1535151●(1 2/3;+∞)

15355●Æàóàáû æîê |log(x–1)/lg5√3x–5=5|

1538441375213●2 11/15

1536●1 √15+x+√3+x=6

1536●–1 √15–õ+√3+õ=6

Àéí

1536230●17.

Êèøè ñàíäû òàáûíûç)

Ordm;.

154●103 (áîëüø óãîë ïàðàë–ììà)

154●25%

154●20êì/÷

154●x≤–1/20

154●522 (1–ûõ 18–òè ÷ëåíîâ ýò ïðîãï)

1540●36%

1541015●5

15414●20êì/÷àñ

Åí óëêåí )

154321●(–1,4) {15/–4–3õ+õ²<–1

15433●xmin=–1,5 |f(x)=1,5x4+3x3|

15433●0; –1,5

154385●60 %.

15459310129010●2,2

1545931012910835●2 1/5

1546240●47.

154890●40 êì/÷àñ, 50 êì/÷àñ.

Ñì

Ñì.

Ñì

1551212513271249141811445121835●1083.

155124●[0;2]

155133124●x4+x²–2x³

15542602●–3,6;6

15547●0,4√5x–1,25cos4x+7x+C |f(x)=1/√5x+5sin4x+7|

155609030●40

155755●2

156●–9

156●18 ñì² (Ïëîùàäü ðîìáà,à ñòîðîíà 6ñì,ðàâíà)

Êì

15616●5/2

15616●–5 1/6

1561637●–5 1/6. (à1=5/6, d=–1/6)

15624816●n=28

M; 6,2m; 3,2m

1563●6,2;6,2;3,2

156342●10

15639●–4.

Ñì (ðàññò îò âåð ïðàâ òðåóã ïèðàìèäû)

Cm

1565●2sin20ºcos 5º |sin15°+cos65°|

15683●30;40

Ì

157002●20,35,110

15711232●45.

157117●1,5.

1571179●1/2 sin8º

1572215743432●40 000.

1575●2–√3/4 |sin15ºcos75º|

15761007412●1,2x²y²

158●cos•π/8

158●(-∞; -1)U(7; ∞)

Êîíóñ æàñàóøûñûí òàáûíûç)

158150●60

15805●0,5

159●27

159●54cm²

15902●40%

15910●198cm²

Øè ìóøå)

15920●126

1595615713351208025●27 7/12

16●192√3ñì²

16●1/8 |f(x)=√x, f(16)=?|

16●1/8 |f(x)=x, f(16)|

16●√18

16●12; 4

16●128 ñì² (ïëîù ðàâíîáð òðàïåö)

16●192√3 ñì² {ïëîù òàêîãî ∆

16●–6,2 è –9,8 (ñóììà êîò ðàâíà (–16)

16●(–∞;–6)U(–6;+∞) |ó=1/õ+6|

16●(–2; 1/3)(6;–1) (ó=–1/6õ)

16●7 (ABCD 4–íèê)

Ordm;

160●(–∞;–6)U[–1;+∞)

160●80º;100º (âñå óãëû ïàðàë–ìà)

1600●320, 400êì/÷

Êì.

1600801●400;320kmchas

160080●320, 400 êì/÷

16009●40/41

Ïðåäïîñ óãîë)

1601115●3

160150●50; 100

Øò;100øò

1601508001200●50; 100

16025010●x<z<y

160252421●24

160255421●24

16040140205070130110●1

Íàéòè ñòîðîíó ÂÑ)

1605●ó0,5(ó0,25-ó):5

1605016125●4

1605205025●ó0,5(ó0,25–4)/5

1605502520●y(y-4):5

1605502520●ó0,5(ó0,25–4)/5

1605820●60; 80; 80; 100

160582015●(60;80); (80;100)

Ñòðàíèö

1607525056412915110005●–6.

16080●100

1608001200150●50;100

161033●405

161033●15

X

1612●100 π ñì² (Îïð ïëîù êðóãà,â êîò âïèñ ðàâíîáåä òðàïåöèÿ)

16120●16π

16120●64(3+2√3)π

X)

161230●48ñì² (Îïð åãî ïëîùàäü)

Cm

1612525●14

1613●6

1613●6 |{√õ–√ó=1/6√õó, õ+ó=13, íàéäèòå √õó|

16132920●–5;–3±√5;–1

16136●–36/(6x+13)7

1615●–30/(6x–1)6

Ñì, 5ñì

161593●9

1616233●4; ³√1/16

1616234●–4;0;1;4

1617●–1/(x/6+1)6+C

1617417●12/17 (16/17–x=4/17_

16180●32

Ñì

162●õ=5êì,ó=3êì

162●19; 25

162●–42 (6–òè 1–ûõ ÷ë ãåîì ïðîãð)

162●48√3ñì² (ïëîù ïðàâ ∆)

162●48√3π ñì² (ïëîù ïðàâ ∆)

162●x≤0; õ≠–4 ó=√õ/16–õ²|

162●(25; 9) |{õ–ó=16 √õ–√ó=2|

ÍÎÄ)

162●(–4;4) lg(16–x²)

1620●122,88 ñì² (ïëîù òðàïåö)

1620●11 (n–óãîëüíèê ñòîð èìååò)

162042245720●2,71

16212●–13,5

Äì

16213●5 1/3

1621221●5/8

162152572262●1/83.

162162152152●9

162163●4

1622●128(√2+1)π

Ñì

16224●8 |Âû÷ ïëîù ôèãóðû ó=16/õ², ó=2õ, õ=4|

162249●(4ó – 3)²

1623●2

Ñì (ðàä îêð, îïèñ âîêð ãðàíè êóáà)

16230●4;3

16232●√6+2x–1/3cos3x+2x+C |f(x)=1/√6+2x+sin3x+2|

Êã.

1623234●5.

1623236272102●2

16233●20

1623321●–1;4

162333●20

1623425●6

Ñì (äëèí îòð)

1624182●64.

162423●28ñì³

162423●28cm²

Cm.

132454002●6400ñì³

Ñì

162510●n=8;b8= –768

162512541●1 3/5.

Ñì.

16258●√137cm³

16262318●3

16263765... ●16;26;65;86;

1626376573●16; 26;65; 86; 9

16264●1/3 √6x–1/3cos6x+4x+C |f(x)=1/√6x+2sin 6x+4|

1628●4 à-b/à+b

1628●19/25

Íàéäèòå îòíîøåíèå ïëîùàäåé ýòèõ ôèãóð)

16281●2, 14, 3, –3

162810●0,25.

162821622●4a–b/4a+b.

16290●±24.

Ñì (íàéä ñòîðîíó êâàäðàòà)

163●1/3 ln|x|-7x6/7+C

1630●192π ñì² (âû÷ ïëîù êðóãà îïèñ îê 6-óãîëüí)

1630●16(1+√3)ñì (Âûñ ïåðèìåòð ïðÿì–êà)

163020●3840 ñì³ (îáúåì ïèðàì)

163048003●1360ñì²

16306●10ñì (äë 2–îé íàêëîííîé)

16306752825137258215●250.

163120●16(3+2√3)π

163192452115●√3–1 3/25

Êã (Ñêîêî êã êðàñêè íåîáõ ïîêð ïîë)

1632123●[–4,5;+∞)

1632234●5

163236032●720 ñì³

16324291●0.

163292●[2;3]

163236032●720 ñì³

163321200●–2

1634●2 |16–õ³=4–õ|

1634291●0

Km

163793●1

16384●4x4+2sin4x+C |f(x)=16x³+8cos4x|

ÍÎÄ)

1640026002●360 ñì²

164025281054●√b/2

164025281054●√6/2

16408●86,4 |à1=6,4; d=0,8|

164133●13

164133241●16/41 (16/41+x=32/41)

164145●1/4 (b1=64, g=1/4, Íàéòè b5)

16420●(0;+∞)

164212●16.

164228●3.

164242396●(4a²–3â³)²

1642529●–1;-3/4; 3/4;1

16428658●1488

16428658●S1=1488

1643●28

164642513●2

1648●64√2/3

Êã 500ãð

165102074●40; 25.

Ì.

16520251282●5,2

16521●100; 108 |1/lgx–6+5/lgx+2=1|

165285●–1/4

16532●1/3; 5

K,

165420●ó0,5(ó0,5–4)/5

16562323●a–3b–2c

1657●{–6;1}

16572●{3;4}

1660●16.

1660●64π ñì² (ïëîù êðóãà îïèñ îêîëî 6-óãîëüí)

166●5;3

1662●5 êì/÷àñ;3 êì/÷àñ.

Ñì

16626●160

Ì

16677●3.

Ñì (áîëüø ñòîð)

Ã.

Ãð

167510777●17; 11

16762●2x8+6tgx+C |f(x)=16x7+6/cos²x|

Ñì (ãèïîòåíóçà)

Íàéäèòå ãèïîòåíóçó)

Ñì

168●10

M

Íàéä ñêîêî ó íåãî ñòîðîí)

168● 60; 80

1680●50

168010●50

168010●50 êì/÷àñ.

Õ10

È 161,08

16813243●6.

Sm

1682343212●2

X10

Ñì è 24 ñì

Ñì, 29ñì

Cm

Óãîë ìåæäó âåêòð)

Ñì (âûñîòó ïèðàìèäû)

1685696●32

Ñì

ÀÂ æàíå ÑD)

Äëèí êàòåòîâ ðàâíà)

169●150cm²

16913215●3

Frac34;

16960●72

Ñêàëÿðíîå ïðîèç

Ìûñ ïåí ìûðûø òұðàò құéÆ:17êã ìûñ;7êã ìûð

17●y=1/x–7 {y=1/x+7

Ñì

17●0 | cosα tgα–sinα . 17.|

17●28/3

170●y=1/x–7

Ordm;

1707050●0

17101742●(–4;–3)

1711●√õ+1+ln|x|+C

17118●224

17122●√2–1

Ñì (îïð âûñîòó)

1713●12,5

Êàòåòû)

1715●36π ñì² (ïëîù ñå÷åíèÿ)

Ñì

1715●240√3ñì³ (îáúåì ïèðàìèäû)

17150125●15

17151●15

1715131715●–1/3

17152230●(–3;1)

1716●30

Ñì

Ñì (âûñ îïóù íà îñí)

Ñì.

171667●d=4

17171660●240ñì² (ïëîù ñå÷åíèÿ)

17171732●{–6; 0}

Ñì.

1721149297●õ*(–∞;–8]U[–5; 4,5)

17211621100●101100

172118●1512cì³

1721731741799●0

1722●√3 |õ–1=√7–2õ–õ²|

17221722...●(1;1,5)

17221722175●(1;1.5)

Íàéäèòå çíàìåí q)

17226873●1

1722822428●–1; 9

1722882428●{–1; 9}

Cm.

17234817221●13.

17249●[–2; 0]

172515●210

17258825●Net (17/25>88/25)

17255722●–13; –4.

1725617013351208025●29 7/12

172617●õ>6

Áàíêòå àқøà ñàқòàғàíûÆ:1728

172701121●1,1; 3,1 |à17=2,7; d=0,1 a1 è à21|

17273●23 (ÑÊ–êî ó÷åíèêîâ)

172863●b1=3, q=4 è b1=48, q=1/4

173●42

Ñì (äëèí äèàã ÀÑ)

173150124●(-24; +∞)

17321232●29/32 (17/32+12/32)

173235●–210x(1/7-3x²)34

17326426●38

17326426●n=38

17326726●38

173351●√10/10

173411●x<–7

1738550●d=-8 C=-9450

174●[0;2] |√õ+1·√õ+7=4|

17423●11

174497●[4;7)

1745●ó=4õ–11

174737●63–9√7

174945●√5–2

Áîëàòûí ñàíäû òàáûíûç)

Ò

175100037525●200.

175111175156●0,25.

1752051205●–0,8.

17527117●6

1753270●–23;3

17534●1/2 |√1,7•√5/34|

17534●1√2

Ñì

17562●4

17579085●017

176●–√3/2 |cos 17π/6|

Ñì (íàéìåíüø âûñ)

1771●(7; 7 1/7]

1774●8 |√x+17–√x–7=4|

178●27 |õ+1|+|õ–7|=8

178●225π ñì² (ïëîù êðóãà)

Ñì (ïëîù ñå÷åíèÿ)

17814740...●0,25.

17840●1,2

Àëãàøêà 6 ìóøåíèí êîñèíäèñè)

17842●125 |a1=7, a8=42|

179●1 1/3 | √ 1 7/9. |

1792233100●0,02

179223310010●0,2

179718●0

18●–1 (m,n*Z a (1/n)=8, m+n=?)

18●162 ñì² {ïëîù

Ñòîð èì âûïóêë ìíîãîóãîëüíèê)

18●81

Ordm; (âåë îñò óãëà ìåæäó áèññåêòð)

18●9

Ñì

Ñì (ìåäèàíà ïðîâåä ê ãèï)

Ñì (ïåðèì ïàðàë QSTO)

18●2/9

18●40

18●12√2(êâàäðàò ïåðèìåòð³)

Ñì (äëèí íàêëîí)

18●810

18●(6;3;9)

18●54º (Íàéòè âåëè÷èíó óãëà ïðè îñí ∆)

180●196

1800●12

18002●1764

18001090040●18

1802●160º (Íàéòè <2)

1802180●1/sinα

Ñì

1803●2π/3

180360●350 %.

Ñì (âûñ ïèðàì)

180505●n=5

18090●0 |sin(180º-α)+cos(90º+α)|

Ctga

1809012180180●240

18090360270●0

181043●n=33, S33 =1848

1810864●à1=–2; d=2

1811011112●9,2;14

18113●121 1/3

1812●99/8

1812111110●{9,2; 14}

18125●2√15

Yçûíä)

Kàøûkò)

18129●135cm²

18131●121 3/1

1814●2êì/÷

1814●8;8;12

1814●12; 12; 8 (Íàéòè äëèíû ñòîðîí ∆)

181410●6

1814122●2•2/7

1814277●14–4√2

181431510●2 êì/÷àñ

1815●120 %. (18 ñàíû 15–òèí íåøå ïðîöåíòè)

×ëåí àðèô ïðîãð)

1815●4

X-1)6

Ñì

1815535●[90°;110°]

Cm

Ñì

I

Ñì (ðàññò îò ñåðåäèíû îòð CD äî ïëîñ à)

1816015333432503819238513●2,6

181614●19.

18162●b=9; q=3

18162●±486

18163067●27

Êã

1817●8/15 tan[sin–1(8/17)]

1819●–0,5

18191275350●–,–,+,–

18196713●14

182●27

Sin8x

Ñì (Îïð èõ äëèíó)

Òåíãå

182025●16 %.

18203●410

18203●410

182040●12√3sin40º; 12√3sin20º

182050●6,75

1821025●16%

18213●6; 3; 9.

18213242●–1;7

Cos4

1822●cos4β

18225●x<–5, x>5

1823●9√3 ñì² (ïëîù îñí òåòðàýäðà)

18236123662●6/a(a+6).

Ñì

1824●cos4β

182420●288 ñì² (ïëîù ñå÷)

182425●1440ñì³ (îáúåì ïèðàìèäû)

18245●9 êì/÷ (Ïóíêò À,Á 18êì; 2÷; 4,5êì)

18245●9

1824512114●7,6

18248●7/9

1824812114●7,6.

Êã, 10êã

Ñì (Óêàæèòå íàéáîëüøè èç íèõ)

1828●72cm².

183●2π/3

Cm.

Ñì (Îïð ïåðèìåòð ðîìáà)

1830●25

183045●9√2ñì²

18312●13 1/3

183172310●64

1832●4.

1832●2 –4/3

1834941234091506302719●2

S áîê)

18362●108π ñì²

183670●(–∞;2)U(7; +∞)

Ñì

1840●72π ñì². (ïëîù ñåêòîðà)

Êã, 10êã

1840●100 ñì (ïåðèì ðàâíîá ∆)

Êã; 8êã.

Êã,10 êã.

1841●40ñì {âûñ ïèð

Êóá ì

18416●52

×

Êã

ÍÀ 6

Íà 6

182●146,25π ñì² (áîê ïîâ êîíóñà)

X40

185●tq3 π/5

È 85 áîëàòûí ñàíäû òàï)

185●–tg2 π/5

18508585212117888926233425●1/12

18510●(1/5;2/5) log1/8(5x–1)>0

18514721025●1/2

18515●7,5

1854●0,25

Äíåé

È 13,5.

Ñì (äëèíó íàêëîí,ïðîâåä èç íåå)

1865958●2x/y³

18718721961962●1

Ñì (ñòîð êâàä)

18724●–3,3.

187245●11,25.

187618●(3; 2)

Cm.

Ñì ñòîð ðîìáà

Èëè 12

18881●(16;2)

1882325●2

188232518●0,5.

188232531606251318269●2.

18881●(16;2)

189●27 (1ûé è 6–òîãî ÷ëåíîâ ïðîãð)

189●7/2

1892●a²+81

Ordm;.

1893192718733156●56

ÍÎÄ)

Óøáóðûøòûí àóäàíûí òàáûíûç)

Ñðåäà

19●14

Ðàçà

190●361

190●40π (Îáúåì òåëà ó=√õ, õ=1, õ=9, ó=0)

19002●38

Ñì(ðåáðî)

1911101965273●9.

191227635213916512●7 2/5.

19123●1064

19123481216224●1064

1912731●3

Ñì.

1913●27/4 {b1=9,q=–1/3

1913●–9 / õ10+3/õ4

1913●3/x4–9/x10 ( f(x)=1/x9–1/x3)

1913191319132●0

19133●14

1913816●27•1/2

191622●(15;–6)

1920●(-∞;0)U(0;∞)

19211821●1/21 (19/21–18/21)

19224●2040 (Ñóììà 1–ûõ 8–ìè ÷ëåí ýò ïðîãð)

1922642●512√2/3 ñì³

192300●20%

19251126●–0,625

1925350234016●2.

1929●5/36,6/36,7/36

193●9

193304●[–3;1]

1933721143●[–1/√3; 4/7)U[1/√3; 1)

19433●–1.

19451945●18. |1/9–4√5+1/9+4√5|

194627863141154●0

195112●–0,625

19535●15; 30

È 30

19541541..●5/11

195415414658224582●5/11

Ñì

1992351●c=–2•a+3b

Cos8x sinx

2●0 2–|x|

2●0 (AN+BD-2AD)

2●0;1;–1 õ²=|õ|

2●0, 2, 6, 12 | bn=n²–n |

2●x=0 è x=1

Sin2xdx)

2●(0;5) |√2–x=x|

2●–0,5 |sinx•cosx, sinx–cosx=√2|

2●sin(–a) |sin(π/2–a)|

2●–1 |π∫ π/2 cos xdx |

2●1 |cos(α+β)+2sinα•sinβ/cos(α–β)|

2●1;2

2●[1;∞) {ó=2|õ|

2●[1/e; ∞) |f(x)=2x lnx|

2●(1;+∞)y=22

2●x=1 |f(x)=2√x-x|

2●135º (Íàéá óãîë ∆)

Åí óëêåí áóðûøûí òàá)

2●–1/2•tg x/2 | u(x)=ln(cos x/2)| 2●1/2√x–2 | f(x)=√x–2| 2●tg α |√2–sinα–cosα/sinα–cosα|

In2x

2●2lnx/x. | y=(lnx)² |

2●õ=2 |√õ+2=õ |

2●60

Ðàçà

PQ)(3a)

2●πk,k*Z;±π/4+2πk,k*Z;±3π/4+2πn,n*Z |sin2x=tgx|

2●πn,n*Z;±π/3+2πê,k*Z |sin2x=sinx|

Ordm; (óãîë â ðàçâåðòêå áîê ïîâ êîí)

2●F(x)=1/2e2x+C

2●4+2√2ñì (Îïð ïåðèì ïðÿì–êà)

S cm (Îïð ïåðèì êâàäðàòà)

2●tg(α/2–π/8) |√2–sinα–cosα/sinα–cosα|

2●πn, π/4(4n+1)kεz

2●πn≤õ≤π/2+πn,nεz |y=√sin2x/cosx|

Ð-ñ)

2●π+2πn:nεz | cos(π+x)=sin π/2 |

2●π/2+πn,n*Z |cos²x+cos/sinx|

2●π/2(2n+1),nεz(-1)ê

2●π/2(2n+1),nεz(-1)êπ/6+πê,êεz

2●π/2+2πn; (–1)n+1 π/6+πn;n*Z |cos2x=sin(π+x)|

2●4√S ñì |ïåðèìåòð êâàä|

2●π/2+2πn;(-1)n+1π/6+πn;n*Z

2●sin4a/4 |sinα·cos·cos2α|

2●cos2x-sin²2x/ cos²x |f(x)=cos2x·tgx|

2●xmax=0

2●ctgx/ln2 |f(x)=log2(sinx).|

2●2πk,k*Z |sinx+tg x/2=0|

2●x•(sin2x+x)/cos²x |h(x)=x²•tgx|

2●2x(sinx•ln2+cosx) |f(x)=2x•sinx|

2●0

2●ln ½ (y=–2ex+x)

2●–2/sin²x |f(x)=2ctgx|

2●(8+∞)

S ñì (Îïð ïåðèì êâàäð)

2●x>0

2●–2sinx·e2cosx. |y(x)=e2cosx.|

2●–2 |f(x)=x² ex|

2●2ñì |îäíà èç ñòîðîí|

Ðàç (Âî ñêîêà ðàç óâåë ðàä õîðäû)

Âî ñêîêî ðàç óâåë åãî îáúåì)

2●(–∞;+∞) |ó=2õ|

2●(–∞;+∞)

2●[0; 1/2] | f(x)=√x–x² ìîí îñïåëè |

2●[0;2]

2●135º (íàéáîëüøèé óãîë ∆)

2●32/3π (Îáúåì òåëà ó=õ, ó=2√õ)

2●π

2●(4;∞)

2●²², ²V | êàèõ êîîðä ÷åòâ ðàñ ãðàô ôóíê y=–2/x|

2●(–2;+∞) |ó=åõ–2|

2●[–2;2]

2●(–2; 2) {|õ|<2

2●[–2; 2) |√õ+2>õ|

2●2. |√x+2=x.|

2●–(a+b/a–b)4. |a+b/a–b•(–a+b/a–b)•(a+b/a–b)²|

2●sin(–x) | cos(π/2+x) |

2●x•(sin2x+x)/cos²x |h(x)=x²•tgx|

2●cos β-sinβ

2●1/2x+1/4sin2x+C |hx)=cos²x|

2●(–2;2)

X

2●1/3. |sinα–cosα/sinα+cosα, tgα=2.|

2●x+2 ln x+C |f(x)=x+2/x|

2●a²+2ab+b²

2●x–1

2●(2õ+1)åõ+õ² | f(x)=ex+x²|

2●(–∞; +∞)

Äëèíà îêðóæí)

X

Ordm;

2●12,9

2●a²+2a

2●(a–b)(2a–b) (a–b)²+a(a–b)

2●1 |f(x)=x•cosx f(2π)?|

2●cos2x-sin²2x/cos²x

2●cosx(cos²x–5sin²x) (y(x)=sinxcos2x)

2●2cos2x·e sin2x |y=e sin2x|

2●cos²x

2●1)(0; å–1/2];[å–1/2;∞) 2)ó=–1/2å

2●–1/2aֿ+2bֿ (BK→+AC→+MD→)

2●1/2e2x+c f(x)=e2x

2●1/2c² +c

2●1/2√x–2 | f(x)=√x–2 |

2●1/2x+1/4sin2x+C |h(x)=cos²x|

2●1/2 cos(α+β) |cos(α+β)+2sinα•sinβ/cos(α–β)|

2●1 1/3. |ó=–õ²+õ, ó=–õ|

Ordm;

2●2√à–√õ/à–õ

2●1/(2√x–1)

Ïëîù ôèãóðû)

2●1/6 |ó=õ²–õ|

2●60; 75êì/÷

2●16sm²

Ñì (òîãäà äðóã õîðäà óäàë îò öåíòðà íà)

2●2 |√õ+2=õ.|

2●âîçðàñ õ*[0; ½]; óáûâ [1/2;1] |y=√x–x²|

Sin2a

2●2sin α |cos(π/2–α)+sin(π–α)|

2●2õ+cosx

2●2(√à–√x)/a–x |2/√a+√x|

2●(a-b)(2a-b) {(a–b)²+a(a–b)

2●24ñì² (òîãäà ïëîù ðîìáà ðàâíà)

2●4

2●Ò=4π |ó=cos x/2|

2●60,80

Êàòåòû)

Ïðîèç ïåðâûõ òðåõ ÷ëåíîâ

2●e2x(sin2x-1)/sin²x | f(x)=e2x/tgx |

2●e2x(sin2x+1)/cos²x | f(x)=e2x/ctgx |

Sin4a

2●sin4a/4

X4

2●1; 2

2●Îäíà èç ñòîðîí ðàâíà 2 ñì (â ïàðàë ñ âûñ √2ñì)

2●π/4+πn, n*Z {tgx+ctgx=2

2●–π/4+πn,n*Z {tgx+ctgx=–2

2●–π/2+2πn,n*Z;(–1)k π/6+πk,k*Z |sinx=cos2x|

N

N

2●πn/2≤x<π/4+πn/2,n*Z | y=√tg2x |

2●πn/2

2●õ=4

2●–(a+b/a–b)4

2●2a+2√a²–b

2●–cos^2 a

2●–cos²α |sin²α–tg α ctg α|

2●–sin2x. | y=cos²x. y•(x)|

2●–√ó/õ

2●cosx(cos²x–5sin²x) |y(x)=sinxcos2x|

Ece (ñôåðà áåòèíèí àóäàíû )

2●(1; 2) (ò³çáåêò)

2●(1;2).

2●(–2; ∞) |õ>–2|

2●(4;+∞) |√õ<õ–2|

2●[0;4] |y=√2-√x|

2●1/6 |ó=õ2-õ|

2●1; 4; 9; 16; 25 |àn =n²|

Cos2xdx)

2●1200

2●18; 24êì/÷

2●√x+2=x

2●(õ+ó)(1–õ–ó) {õ+ó–(õ+ó)²

2●2y+3x-5=0

2●2xtgx² |f(x)=–ln cos x²|

2●2

2●2 {f(x,y)=x²+xy

2●–2/π5.

2●–2√5

2●π/2+πï≤x<π+2π

2●2sina {(cosπ/2-a)+sin(π-a)

2●cosα–sinα (cos2α/cosα+sinα)

2●2√3

2●2π |y=cos(x-2)|

Øåíáåð óçûíä)

2●2πn; ±2π/3+2πn;n*Z {cos(-2x)=cosx

2●πn/2≤x≤π/4+πn/2; n*Z

2●4cosφ•cos2φ |Íàéä îòí îá ýòèõ êîíóñîâ|

2●42 (bn=n²–n)

Åñå.

Ïðîèçâåä ïåðâûõ òðåõ ÷ëåíîâ)

Ì (Íàéäèòå ïåðèìåòð ðîìáà )

2●cos2x |tg(-x)ctg(-x)-sin2(-x)|

2●ctgx / lna

2●ctgx/ln2 |f(x)=log2(sinx)|

Cos 2xe

2●d=3i+j–k

2●b=P–2a/2 |P=2(a+b)|

2●2x cosx²

2●2x+cosx |f(x)=sinx+x².|

2●180

2●–tg α |tg(π–a)·cos(a)/sin(π/2–α)|

2●x=π/2+2πn;y=π/2–2πn; |{x+y=π sinx+siny=2|

2●x=π/2+πn,n*Z; õ=2πn, n*Z { f(x)=cos2x-cosx

2●x=π+2πn, n*Z { f(x)=cosx/2

2●π/4+2πn; n*Z | sinx+cosx=√2 |

2●à²+2àb+b² (a+b)²

2●a²k+2ak+1 (ak+2a)ak

Íàêòû ñàíäàð æèûíû (ìèíäåð îáë)

Òåðèñ åìåñ ñàíäàð æèûíû (àíûêòàëó îáë)

Åñå àðòûê)

2●π |íàéì ïîëîæèò ïåðèîä y=sin2x|

2●π |ïëîù êðóãà, âïèñ â ðîìá|

2●2π

2●2/15π (Îáúåì òåëà ó=õ, ó=õ²)

2●–2xsinx² |y(x)=cosx² y(x)|

2●30

Ñóì âñåõ äâóõçíà÷í ÷èñåë)

2●π/2+2πn; (–1)n+1π/6+πn; {cos2x=sin(π+x) 2●π/4+2πn, n*z |sinx+cosx=√2| 2●π+2πn; n*z |cos(π+x)=sinπ/2|

2●–2√3

2●[-2:2)

2●[0:+∞)

2●1/3

2●(1:2)

Õ

2●cos²õ

2●π

2●√3 (dx/cos2x)

2●à 2ê+2à ê+1 |(àê+2à)•àê|

2●9/2

20●0 |y=sin x/2, y=0, x=π|

20●1 |π/2 ∫ 0 cosx dx|

20●200√3 ñì² {ïëîù øåñòèóãîëüíèêà

20●[0;∞) {πõ–π2õ≥0

20●√45(5)

20●1

20●2 |f(x)=ecosx+2esinxf(0)|

20●(2k+1)π/2;(–1)n•π/6+πn; k,n*Z |cosx–sin2x=0|

20●2πk, k*Z (sinx+tg x/2=0)

Ë; 5ë

Ordm;

Êå êåìèäè

20●2Ïk k*Z

20●(–2;+∞) |√x+2>0|

20●0;1;-1

20●π/3(2n+1)n*Z π(2k+1) k*Z

20●20% (Íà ñêîêî % óâåë ïåðèìåòð)

20●9

20●2.

20●15,2%

Ñì

20●π/2π,nεz

20●π/2+1 | π/2 ∫ 0 (ctgx•tgx+cosx) dx|

20●200√3

20●30 (äëèíà áèññåêò ýòîãî ∆ ðàâíà)

Ñì

20●60 è120º

Ordm; (âåë îñòð óãëà ìåæ áèññåêòð)

20●5;4

Ïåðèì ïðÿì íàéá ïëîù ðàâåí)

Ordm; (Íàéäèòå òóïîé óãîë ðîìáà)

20●íà 9º

20●–π/6+2πn{/x{/π/6+2πn

20●πn/2

20●π/2+1 |π/2 ∫ 0 (ctgx•tgx+cosx)dx|

20●π/2+πê,k*Z |sin2x/sinx=0|

20●õ=0 è õ=1. |õ²–õ=0?|

20●x=2n,n*Z |sin π/2x=0|

20●8; 8; 4

Cm (ðàä îñí öèëèíäðà)

Öèë áèêòèãèí òàáûíûç )

20●a²+2. |õ–2=à, a>0|

20●(-2;+∞)

20●0;1;-1 (y=sinx/2,y=0, x=Ï).

20●1

20●2.

È 140

20●40° æàíå 140° (óãëû ïàðàë–ìà)

20●x≤0 ; x=1

20●π/2+πn, n*Z; 2πn,.. {cos2x-cosx=0

20●π/2+πn; n*z |cos²x+cosx/sinx=0|

20●π/2+πn; 2πn

20●πn/2, n*Z |sin2x=0|

20●π/2+πn; n*Z |2cosx=0|

20●π/2+πk; k*Z ( sin2x/sinx=0 )

20●–π/3+2πn<x<π/3+2πn,n*Z |cos2x+cosx>0|

20●π/4+kπ/2 |x: cos2x=0|

20●π/2+πn,n*Z 2πn,n*Z |cos²x–cosx=0|

20●π/4+π/2n,n*Z | ños2x=0 |

20●π/2n,n*Z |sin2x=0|

20●πn, n*Z {2õsinx=0

20●πn, n*Z;–π/2+2πm, m*Z

Òã

20●100/π ì²

20●100 π cm² ïëîù êðóãà

20●100 π ñì² (Íàéäèòå ïëîù êðóãà âïèñ â ïðàâ 6–óãîëüíèê)

20●ó=Ñå-õ2

20●8 log2–logx=0

ÀÀ 1)

Ñ1)

Ñ1D1)

C 1)

Ñ 1 D)

M 1)

Í 1 Ì 1)

200●142

200●400

200●20%

200030002●x/2+y/3+z/2=1.

2001030020●16%

20011●–4.5

2001011000●(0,001; 0,01)U(10;+∞)

20011●5

200160●20 %.

2002●6,4 π |y=x², y=0, x=0, x=2|

20020●0 {sin200º+sin20º

200200●a<200<b

20022500●5,5

NOD)

200310190170220260●2cos 10º.

×àñ.

20034060●–√3 |cos200°+cos340°+tg(–60)°=?|

2004●(ab²; a/b²)

2004025●100.

2005●10 (200ñàíûíûí 5% òàáûíûç)

Ñòð îí ïðî÷ â òðåòèé äåíü)

Ã

201●√5(4)

201●2x–cosx+2 {f(x)=2+sinx,F(x),M(0;1)

201●y=1,5x-0,5

201●2y+3x–5=0 |y=√x/x² x0=1|

2010●38,8%

2010●π/5 {y=x²,x=0,x=1,y=0

201014●8√3

Cm. (äðóã äèàãîíàëü)

20104203010●18

2011●–3

2011101115111●38,8%

2011042254225●–1/2

2012●8 2/3 | 2 ∫ 0 (1+x)²dx|

2012●240 ñì² (àóäûíûí òàï)

20120●400√2ñì² (Áîê ïîâ ïèð–äû)

201205050●√5

201205050●3. |a→+2b→, a→=(0;1;2),b→=(0,5;0,5;0)|

2013●0,08

2013●8 |y=2x, y=0, x=1, x=3.|

201301●–0,2

2013021500015●300, 300

Ñì,16ñì

2014●10 2/3

201412014●100π |Íàéäèòå ïëîù ýòîãî êðóãà|

2015●4 |√20–√õ+1=√5|

Ò

2015●375π ñì² (Îïð ïëîù áîê ïîâåðõ)

2015●(375π)

Ò. (ìàññà çåðí ñòàëà)

2016016●80 êì/÷

2018●ÀÑ=6ñì, ÀÂ=12ñì.

Ordm;

Ñì (Íàéòè âûñîòó)

201824●288 ñì² (ïëîù ∆)

202●0 |π/2 ∫ 0 sin2x•dx|

202●√2/4 |f(x)=sin x/2 , x0=π/2|

202●20(π+1)/π äì²

202●√5(3)

202●π²/12 |í=2/πõ, ó=sinx x*[0; π/2]

202●½(å4 –1)

202●0,5;–0,5

202●6/3

202●1/2(e4–1) |2 ∫ 0 e2xdx|

202●2*2/3 |y=x², y=0, x=2|

202●2 (2/3)

202●70

Ordm;

202●π

202●8/3 |2 ∫ 0 x² dx|

2020●6π

Cos20ñì; 20tg20

2020●–π/4+πn≤x≤πn,n*Z {cos2x≥0 sin2x≤0

2020●πn≤x≤ π/4+ πn,n*Z {cos2x≥0 sin2x≥0

2020●18 2/3π {y=x+2,x=0,x=2,y=0

2020●21 1/3π |y=x+2, x=0, x=2, y=0|

2020●e²+1

202024●40/3

20202460●384 ñì² (ïëîù ñå÷åíèÿ)

2020384●400

20204015015020●4

2020401501502032032011511520●cos115º<cos115º•cos20º

202040320●4

20206●12 |√20+õ/õ+√20–õ/õ=√6|

2021●10 ì²

202160●[3;4)

2022●0 |π/2 ∫ 0 sin2x•cos2xdx|

2022●0 |π/2 ∫ 0 cos²x–sin²x)dx|

2022●(–1;0)U(1;2) | {x²–x>0 x²–x<2 |

20224230152●60äì³ (îáúåì ïàðàë–äà)

2023●–4

2023●–√3/2 |π/2 ∫ 0 cos(2x+π/3)dx|

20233740100103●a<b<c

È 4ñì

2024254210●290

Ñì. (Óêàæèòå íàéáîëüøè èç íèõ)

Ñì (Óêàæèòå ðàçíîñòü ýòèõ îòðåçêîâ)

20243015●60äì³

202452255●2

Êîíöåíòð ðàñòâîð)

2025●40

2025●40% (Íà ñê–êî ñíèçèëè 1íà÷ öåíó)

2025●3 |√20–√õ+2=√5|

Ñì.

2025●a²b

×ëåí ïðîãð)

202512●500

2025165●1

202516570●1.

202518●2880 ñì³

20259545●6√5

2026●õ²+(ó-3)²=13

Ì 40ñì

2027●540

2028022442●20(a+2b)/a-2b

203●√5(8)

203●2•1/3 | ln2 ∫ 0 e3xdx |

203●30 ñì²

203●20(π+1)/π äì² (ïîëí ïîâ öèëèíäðà)

2030●155

Êã

2030●300π ñì² (ïëîù êðóãà)

2030130477720●2,857

Òã,300òã

Òã;300òã

Áóðûø åí óëåíè)

Ñì

2030320●–3 1/3;3 1/3

203187●à14=0,5

20324●1/160

203254●10

2032606400●560

203260640033●560 ñì²

20333141052321812●2612/27

2033622●2êì÷

Ñì ðàçíîñòü êàòåòîâ

2035●8 |√20–√x–3=√5|

2035●íåò ðåøåíèå | √20+√õ–3=√5 |

20350●x<2.

2036223●2 êì/÷àñ.

203622●2êì/÷

Ñì (íàçîâ ìåíüø èç îòð)

2038114113642●95,7.

204●20

204●y=–2x+π/2 {ó=cos2x, x0=π/4

Ñì, 16ñì (Íàéäèòå åãî êàòåòû)

2040●68 %.

2040●cos 10º |sin20°+sin40°|

2040●23, 29, 31, 37

2040●2x6+x2–3

204010●0

2040135●100 √2cì². (ïëîù ∆ BCD)

2040135643●48√3 ñì²

Ñì

204060●0

204060160180●0

20406080●4

20406080●3. |tg 20º tg 40º tg 60º tg 80º|

20406080●1/16 |cos20•cos40•cos60•cos80|

Sin20 sin 40 sin60 sin80

20408011511025●2√2+2

2041●3/2. |2 ∫ 0 dx/√4x+1|

20422210●2,5.

2042327●1

2043●8

Ðàä âïèñ îêð)

20444●6

2045●5 √õ+√20=√45

20451132●33

204528031255●110.

205●14%

205●(π/6+πï;5π/6+πï), nÎZ.

205●(–5π/12+πn;–π/12+πn), n*z sin2x<–0,5

205●(π/6+πn; 5π/6+πn),n*Z {cos2x<0,5

205●íåò ðåøåíèè |√õ+√20=√5|

Ëèòðîâ (æèäêîñòè îòë êàæä ðàç)

Ñì.

2050●(x–3,5)²+(y–√10)²=12,25.

205030●22

2050520●[1/2; 4]

20507080●0,25.

2051●x*(–π/6+2πn;2πn)U(π+2πn;7π/6+2πn);n*Z

|cos²x–0,5sinx>1|

205101●101 (Óê çíàì 205/101)

205101323●480

Ln2

20521●(1;–2)

205212●20,5x+1•ln2+1/6(2x+1)³+C

205214●–470

2053●–8,5

2055●5

Cm

206●ê=1

2060●20√3

20600●20√3

2060206575303075●1.

206306●15

2065206575303075●1

207010●1/4cos40º

Ñì, 6ñì (äëèí îñí òðàïåö)

È 6

2072●20

Êã

2073243●22

208135●2 æ/å 14

2081510●60,69,79

20821022●65 ñì² (÷åìó ðàâ ïëîù ìåíüø)

2082512●480 ñì³

Ñì (ðàä âïèñ îêð)

208306●–3,4.

Tg

208600●5780π

2086002●5780π ñì³

209●3

Ä 36ä

209030●20/√3ñì; 40/√3ñì.

209223●–54

Cos(2arctg1)

21●1 |√x²+x–1=√x|

21●à²√17/12(√19) (îïð S ñå÷åíèÿ)

21●π |f(x)=arcos(2x–1).Íàéäèòå f(0)|

21●(3;7) |íà ïðîìåæ|

21●1 |sin²α/1+cosα+cosα|

21●2(åõ+√õ)+Ñ |f(x)=2ex+1/√x|

21●1; 2

21●1;2 ó=|cos α/2|+1

21●1/2 f(x)=lnx/2x x=1

21●–1/2 f(x)=x+ln(2x–1)

21●(–1;2) ( f(x)=log 2–x/x+1 )

21●(–1;0)U(1;∞) | f(x)=√x/x²–1–x |

21●2π |2arccos(–1)|

21●1 |øåíáåð ðàäèóñû|

21●2/9 (y=–x/2+1)

Õdx

21●2x+1² f(x)=ln(2x+1)

21●2tg²α | (sinα+cosα)²–1/ctgα–sinαcosα |

21●(3;+∞) |√x–2>1|

II è III.

21●[0; 1) | √2–√x>1 | 21●[0; 1] |õ² ∫ õ 1dt≤0 21●–π/2+2πn n*Z

21●0

21●(–1;–1/3) |2õ+1|<|x|

21●1. |sin2α,åñëè tgα=1|

21●0. |sin2α, åñëè cosα=1|

21●1. |√õ²+õ–1=√õ|

21●1 |sin²α/1+cosα+cosα|

21●1–cosx |sin²x/1+cosx=?|

21●1. {2–|x–1|

21●–π/2+kπ<2x<π/4+kπ,k*Z èëè

–π/4+kπ<x<π/8+kπ,k*Z |tg2x<1|

21●20êì/÷

21●48,40

21●2/2x+1 f(x)=ln(2x+1)

21●1/√(x²+1)³ |y(x)=x/√x²+1, y(x).|

21●π/8+ πê/2; k*Z

21●π/2+πk; k*Z {cos2x=–1

21●3 |C=(a–b)•(a+b) ñêàëÿð ïðîèç|

K kEZ

21●5π+2πk |tg(x/2–π)=1|

21●2π

21●2πê<x<π/6+2πê,k*Z; 5π/6+2πê<õ<π +2πê,n*Z

|sinx+cos2x>1|

21●I è III |f(x)=2x–1êîîðä ÷åòâ ëåæ ãðàô|

Íåò ðåøåíèé

21●–π/3+2πn≤x≤π/3+2πn,n*Z |y=√2cosx–1| 21●2 |2 ∫ 1 dx| 21●a6=7 (6 ÷ëåí ïðîãð)

21●(0; 1)

21●(–1)n+1π/6+πn; n*Z |2sinx=–1|

21●(–1)k+1π/6+πk k*Z |2sinx=–1|

21●π/2+πk;k*Z |cos2x=–1|

21●(–1;5) |√õ²–õ+1=õ|

21●–1;1

21●±π/3+2πn,n*Z |2–tgx=cos/1+sinx|

21●320

21●(–∞; 1) (2x<|x|+1)

21●(–∞;–1)U(1; ∞)

21●(–∞;–1)E(1;∞) |y=lg(x²–1)|

21●[0; +∞) | ó=√log2(x+1) |

21●[1;+∞) |ó=2√õ–1|

21●[1/2; 1)U(1;+∞)

21●±π/3+2πn, n*Z

21●1 |√õ2+õ-1=√õ|

21●1 |sin²α/1+cosα+cosα|

21●±π/4+2πn,n*Z |√2cosx=1|

21●1/√(õ2+1)3

21●2, 5, 10, 17 |xn=n²+1|

Õ-1

21●(–∞; 0] |ó=2lnx–ax–1|

21●2π 2 arccos(–1)

21●2πk<x<π/6+2πk,k*Z; 5π/6+2πk<x<π+2πk,k*Z

|sinx+cos2x>1|

21●3, 5, 7, 9, 11 |xn=2n+1|

21●3/2; 4/3;5/4;6/5;7/6; |an=n+2/n+1|

21●D(q)=R E(q)=R

21●g(x)=x–1/2

21●æyï òà åìåñ, òàk òà åìåñ, ïåðèîäñûç |f=õ2+õ+1|

21●π/2+πn, π+2πn,n*Z |sin²x=cosx+1|

21●–π/3+2πn≤x≤π/3+2πn,n*Z |y=√2cosx–1|

21●–π/4+πn,nÝZ {2sinx+cosx=1

21●πk≤x≤π/4+πk |cos²x≥1–sinx•cosx|

21●õ |õ²–õ/õ–1|

21●õ=1

21●{4} |√x–2/√x=1 |

21●õ=êπ,êεz

21●x=π/2+πk;π+2kπ,k,k*Z |sin²x=cos x+1|

21●0;-2

21●íåò ðåøåíèé {|2õ+1|=õ

21●(π/3+2πn, 5π/6+2πn);(–π/3+2πn; π/6+2πn),n*Z

21●–8å–2õ |f(x)=√2x–1|

21●1/e (y=x²•x–x, x=1)

21●a–b

21●kπ |tgx+cos2x=1|

21●πk,k*Z |(sinx+cosx)²=1+sinx•cosx|

21●x*(–π/2+πn; π/4+πn],n*Z |tg(2π+x)≤1|

21●3 æәíå 5 |f(x)=x²+x+1 1)æұï 2)òàê 3)æұïòà åìåñ òàқòà åìåñ 4)ïåðèîäòû 5)ïåðèîäñûç|

Ïîðòòàí á³ð ìåçã³ëäå åê³ êàòåð øûғûï, á³ð³Æ:21

210●–1/2 f(x)=x+ln(2x–1)

210●(-1)n+1 π/n+πn,n*Z |√2sinx+1=0|

N

210●(-1)n π/6+πn,n*Z |2sinõ–1=0|

210●(2;+∞) |√õ²+õ–10=õ|

210●[–π/3+2πk;π/3+2πk], k*z

210●–π/4+πn/2<x<π/8+πn/2,n*Z |tg2x–1<0|

210●π/6

210●±π/4+2πn.n*z |√2cosx–1=0|

210●(1;2)U(2;+∞)

210●±π/3+2πn n*Z |2cosx–1=0|

Ñì, 4ñì, 4 ñì.

210●x=(–1)k π/6+πk,k*Z | log2(sinx)+1=0 |

Cm

210●π

210●π. f(x)=arcos(2x-1).Íàéäèòå f(0)

K

210●–π/3+2πn≤x≤π/3+2πn,n*Z |2cosx–1≥0|

210●–π/4+πn/2<x<π/8+πn/2,n*Z |tg2x–1<0|

210●π/4+π/2k, k*Z |ctg²x–1=0.|

210●60; 75êì/÷

210●14+k/2k k*Z

210●[0; 1] | x² ∫ x 1 dt≤0|

210●m=2, m=–1

2100●[0; 1] |õ² ∫ õ 10dt≤0|

21000●0;±50.

21001●4/3

210013●3π+π/2

2100180●45°

210021212100212100210021●–1

2101●0 |x²–1=lg0,1|

2101●10 |x²=10lgx+1|

2101105●yíàèá=–11;yíàèì=–36

2101105●à)–11; á)–36

21012●11 13/15π |y=x²+1, y=0, x=1, x=2|

21012●1 1/3

21014●144π ñì²

Ñì (äëèí îáð óñå÷åí êîíóñà)

21015●60 êì/÷àñ, 75 êì/÷àñ.

210150180●30

2102●4π

2102●0;–2 |ó(õ)=(õ–2)√õ+1 [0; 2] |

21020●20 2/3π

21021025●–2/x–5

21021710●4√10 ñì. (äèàã ïàðàë–äà)

210232●(0; 1; 1,3)

2102323210●610

210235234●[–2; 3]

21024●16

210242046●n=10, q=2.

à (Íàéäèòå ìàññó ñåðåáðà â ñïëàâå)

2102501●(–3; 2)

2102552●1

2102710●(–∞;+∞)

21028●(4;2)

21028160●(2;0),(8;0)

Kàòàð.

210300●30

2103103●±1

21032●øåøó³ æîқ

210356●–6

21042●y=2

210420210●1a²

2104523●12

2104922●3

2105●F(x)=(2x–1)√2x–1/3+C

210513●[–3/8; 2/3]

21053105410531051052310543●–1

210570495●√3/4

U(1;3)

Ìèí

21073●4 |S(t)=–t²+10t–7,t=3|

21079●(2; 5)

Ïðîö ñîäåð óêñóñíîé êèñëîòû)

2109341234171167515●6.

211●y=√x+1

211●0.

211●(3;+∞)

211●1/(x+1)2

211●5,5

211●íóëåé ôóíêöèè íåò |ó=õ²+1/õ+1|

211●3x²–2x+1

211●π/3(ln+9) π/1(3k+9)

211●bx–1

211●2x+1 ( f(x)=log2(x–1) , f–1(x) )

2110●3/2+ln2 |2 ∫ 1 (1/õ+õ) dx, ãäå x≠0|

2110●–3<m<1 x2–(m+1)x+1=0

Ñì

21100●28/15π (Îáúåì òåëà ó=õ²+1, õ=1, õ=0, ó=0)

211002●150ñì² (ïëîù òðàïåöè)

21102●204(x²–1)101 |f(x)=(x²–1)102|

21102132312●30

211091●c→=a→+7b→

2111●(an+1+1)(an-1)

2111●–1/3

2111●(–1; 1)

2111●õ<–1:õ>1:

2111●x•ln–1–x/1+x+1 | y=(x²–1)ln√1–x/1+x |

2111●0,5.

21111●sin2α

2111012●4

Ñêàëÿðíîå ïðîèçâåä)

21111●sin2α {sin²α(1+sin-1α+ctgα)(1–sin-1α+ctgα)

Õ

2111111●3–x³

211112●õ4–121

211120●320

2111210●(–1;2)

21112182225●–2

21112194●–2

Õ.

2111413216●3.

2111510119●(2;1)

2111524890●40êì/÷;50êì/÷

2111825●Óíàéá=0; Óíàéì=–12.

2112●–1/2 |(sinα–cosα)–1, ïðè α=π/12|

2112●1/√2•√1–x/(1–x)²–1/2cos 1–x/2

21121●3x²+2x+2–2/x²–2/x³

211212●[0;1/2]

211212012●[0; 1/2]

211212●1

211212●–1/2(2x+1)+5/6

21122●–4 1/3

2112200●0

21121●3x²+2x+2–2/x²–2/x³

2112●–1/2 (sinα-cosα)²-1, α=π/12

2112●–1 {sin²α–1/1–cos²α, α=π/4

2112●1/√2•√1–õ/(1–õ)²–1/2cos1–x/2

2112●y=x+1; y=1/3x+1–2/3

21120●(–∞;–1]

21121●3x²+2x+2–2/x²–2/x³

211211●2x/x+1

211212●[0; 1/2]

21122●–4 1/3 |2 ∫ 1(1–2x–x²)dx|

2112221●a)4;3 á)(–∞; 3,5] â)[3,5; +∞)

21123●–3±√6/2: 9

211231●2,5

21123121●2,5

2112313112●–1/7

2112320●1

21124●–1 |sin²α–1/1–cos²α, α=π/4|

21124●–3±√5/2; 1

21125●10

2112845●Óíàéá=0; Óíàéì=–2

2113●–3;1

2113●(1; 4) {2õ+1/1–õ<–3

21130●5:6

U(1;3)

Êì

21132●√26

211324●5,12%

2113524●5,12%

21137112●1

Cm.

Ñì (Îïð ïåðèìåòð ðîìáà)

2114●[1;2] f(x)=√2-x+(x-1)1/4

21140●6π

2114059●6π

211419222●3,4,5

2114238●5

211426●(–6;–2]U[–0,5; 6)

Êã

Íåò êîðíåé

Íåò êîðíåé

Ordm;.

2115●(-1)ê π/12+πê/2, k*Z

2116●[-7;9]

211732●arcos(–8/√145)

211815●0

2118312●13 1/3

211965●6

212●0 |log√2a=log1/√2b log(ab)=?|

212●0,5 |sinα+cosα)²/1+sin2α|

212●(õ–3)(õ+4)

212●õ–ó

212●2/ln2+e2–e | 2 ∫ 1(ex+2x)dx|

212●(2π/3+2πk;4π/3+2πê),k*Z |–cosx>1/2|

212●π

212●30,20

212●(x–3)(x+4).

E

212●2x+2–1 log2(x+1)–2

212●2/cos²x+1/√2sin²x | y(x)=2tgx–1/√2 |

212●2cos²α |cos²α+(1–sin²α)|

212●tg²α |sin²α/1–sin²|

212●ctg² α |cos²α/1–cos²α|

212●–3/4 |sinα+cosα=1/2|

212●–3/5 |cos(2arcctg ½)|

212●(–7π/12+πk;π/6+2πk)

212●(–7π/12+πk; π/12+πk),k*Z |sin2x<1/2|

212●(π/6+2πk; 5π/6+2πê) |cos(π/2–x)>1/2|

212●1

212●–√2;√2

212●[4; ∞)

212●2 | sinα+cosα)²+1–2sinα. |

212●π+2πn, (-1)nπ/6+πn,nεz

212●–4;3

212●(1/2; 8)

212●(12; +∞)

212●(–∞; +∞) |ó=cos 2x/1+x²|

212●5 √2x–1=x–2

212●(–1)n π/12+π/2n, n*Z |2sinx cosx=1/2|

212●5/6

212●5/6 |2 ∫ 1 (x²–x)dx|

212●π/3+4πn≤x≤5π/3+4πn,n*Z |sin x/2≥1/2|

212●3 |2 ∫ –1 x² dx|

212●3 log(2x+1)=2

212●π/2+2πn,n*Z (–1)k+1 π/6+πk,k*Z

|sin2x/1+sinx=–2cosx.|

212●II,I–a,IV ó=sin(2x+1)–2, y=sinx

2120●π+2πn,n*Z {cos²x+1+2cosx=0

2120●6•1/5 π {y=x²,x=1,x=2,y=0

2120●(–1;1).

2120●[2;∞) (√õ–2•(õ+1)/2õ≥0)

212003912023100772526●0

212005●ó=24õ+16

21202●35

212022●(-4;3)

212044135●–6

21205●ó=24õ+16

212050●(0; 1)

X

21206●–3/4 |sin2α, sinα+cosα=1/2, 0<α<π/6|

2121●1

N

2121●1/sin²α

2121●tg α/2 |cos2α/1+cos2α•cosα/1+cosα|

2121●–4/(2x–1)² |f(x)=2x+1/2x–1|

2121●u=√2x–1 | ∫e√2x–1/√2x–1 dx|

21210●(–1)n π/6+πn; n*z

21210●1/2<m<1 èëè m>5

21210●{1;1/2}

212113122●{1/2,1}

21212●0 |sin²x/1+cosx–cos²x/1+sinx+cos2x/sinx+cosx|

21212●√c+√d/√c–√d

21212●πñ+πd/πc–πd

21212●(-1)ê+1π/12+π/2ê,êεz

21212●–8/25.

212121●1/2å2x–1+x³/3+11/24.

21221227132●12+√21

212121122●1/a+b

2121212●(x²–x–1)(y–z–10)

2121212121211●2m²/m²+1

21212121211●2m²/m²+1

212122454414●4

2121212414341●3/4

212122454434●8

212125●{–1} |õ²+1/õ+õ/õ²+1=–2,5|

212129●1/2; 2

21212931472●1/2

212129872●1/2.

21213●7

212132●1.

212132●1;1

2121327●–1<õ<2

2121327●–1 | 21+log2(x+1)>x•log327 |

21214129872●1/2

212141813●21/220

21215●(-∞;0)U(1;+∞)

2121533425●3,5

212181●0<õ≤√2·;õ>8

2122●=a+b/ a-b

2122●0

2122●16

2122●25/4 {(2 ½)²

212201●y=2x-3

2122200●0.

212220●x=2π(1+2k),k*Z

21222033●3π/4

21221●(1,6; 0,8)

21221●1/2e 2x–1+x³/3+11/24

21221●2(x+1)/(1–x)³

21221111●1–a/√a

212212●12+√84

212212●–1;0

Tg1.

21221227132●12+√84.

21221227152●14+√140.

Íåò ðåøåíèÿ

Íåò ðåøåíèè

2122142●(8; ¼) | {log2x+1/2log2 1/y=4 xy=2 |

2122156●x=4

212220●x=2π(1+2k),k*z

212220●(-4;3)

212220●0 |y=(2x+1)² æàíå y=(x+2)², x0=?|

2122200●0

21222033●3π/4

212221013670366173231734●2

2122211●(–1;–3);(4,5; 8)

21222234●1

212223●7/8

21222341324●x<1/5

21223●ð=–5; q=6

Øåøèìè Æîê

212232●15,25

212232●π/3(3k+1),k*Z

212234●(–1)k+1 π/3+kπ,k*Z

212240●4

212243648607284●1/64

2122512●√3+2/2

2122737●Óíàèá=0;Óíàèì=–9

212275●õ=5

212282273362●(3q²–4x²)(7p–9q)

2123●π/6+π/2k k*Z

2123●π/9+πn/3,n*Z {tgx+tg2x/1–tgx·tg2x=√3

Êì

212310●{–2,–1,0}

2123114●6.

212317●î/////

2123172●(3;1)

21232●–25 |f(x)=(x²–1)(2–3x) â òî÷êå õ=2|

2123212123●–2a³

2123216●–1±√5/2. |2 ∫ 1(y²+y–3)dy=x²+x–1/6|

2123267522100●3

2123296●–1

21234●13,5 | 2 ∫ 1 (2x³+4x)dx |

212343●a=2 2/3 èëè à=–2

21235●[1;4]

21235620●5; 7

21239600●(0; 1/7)

212421210●[1;11]

2124240●6

Êã

21243611141●–1.

212510●2 {2√õ–1–√õ+2=√5õ–10

2128●60; 15

Ñèíóñ ìåíüøåãî óãëà)

212●–4;3

Äåíü

2122128●27

212220●3a è â/3

212240●4 |√x²–12–√2x–4=0|

212313514●x<y<z

21232●–25

21234●13,5 |2 ∫ 1 (2õ³+4õ)dx|

21235620●5;7

21239600●(0; 1/7)

2124●12500

2124212110●[1;11]

2124240●6.

21243611141●–1

212436111413●1

Êã.

2125●10.

2125●2 |2õ=1+√õ²+5|

21251●(0; 1/5)(1; 5√5)

212510●2

2125121012●1024

2125431●2

2126●1

21261916●4

21264●2/ln2–6ln2+4 |2 ∫ 1 (2x–6/x+4) dx|

212640●–16; 4

21269●21 |2 ∫ –1(x²–6x+9)dx|

212731●9 1/27

212750●(3;7]

Êîñèíóñ áîëüø îñòð óãëà)

Log23-1

Íåò êîðíÿ

21292●b–6a/2ab

2129216●4

213●1 |2x+1=3–cosπ|

213●30

213●3√3cm ²

213●4 {y=2–x+1/3, áîëüøå íóëÿ)

213●–2;2 |√x²–1=√3|

213●[1;4] |√õ–2=1+√õ–3|

213●[2; 6] (ó=2õ, õ*[1; 3] Íàéäèòå ìíîæ çíà÷ ïåðåì ó)

213●–2√2/3 |sin2x, cosx=1/√3 |

213●1

213●x≥1 (ó=2õ+1,ó=3)

213●9

213●3;1

213●3/5 {sin²α/1cosα, α=π/3

213●y=x–3+2ln2 |f(x)=2ln(x–1),x=3|

213●1/2 |sin²α/1+cosα, α=π/3|

213●5/6+2n, 7/6+2m;n,m*Z | 2cos(π(x–1))=√3 |

213●8õ³–12õ²+6õ–1

2130●26/3

2130●(-2;1)U(3;∞)

21305●–5/6

2131●(1;3) U(3;∞)

2131●õ<–2 , õ>0

2131●(–0,5:3)

21310●6

21310397●100

21311319●4.

21311613●11/32

2131194●11/36.

2131205●10 46/99

21312131●2

213122●–3

213124●28

2131294●5/18.

213142112142●–142/17

213143●15/2√91

213143●(2;12)

Òã.

21317137●3/10.

2131883518535●7

2132●5 (f(x)=2x–1/3–x, x=2)

2132●x íå ðîâí. -1/3; õ íå ðîâí.1/2

2132●2 cì³

Îáúåì ïèðàì ðàâåí)

2132●a–1

2132●2/3 ln2 |2∫ 1 dx/3x–2|

2132●14/9. |2 ∫ 1 √3x–2 dx|

2132●–5,5 | 2 ∫ 1 (x–3x²) dx |

21320●7

2132●õ≠–1/3; õ≠0

213210●π/3+2πê ê*Z

Xy

2132157●(–∞;–2/3)

21322●√2 ñì³ (íàéäèòå îáúåì ïèðàìèäû)

21322●√130

21322232213122●0

213222●0

213226●10 | 2 ∫ 1(3x²–2x+6)dx |

2132561165314●4 11/14

213226●19

2132274●8

21327416●y=4/25

2133●6/ln3–3ln2 |2 ∫ 1 (3x–3/x)dx|

2133●(–∞;–1] |2(x+1)|≥3x+3

2133●3–8 log2(log1/3x)=3=x

213314416●a=c<b

21332221●x<1

21332410●π/3+2πk,k*Z

2133411123●2/3

213352235●√61

213354163…●–4.

213354163252411●–4.

2133562385947121132●3 1/3.

21336●(0;1/9]U[27;∞)

2134●6/ln3–4ln2 |2 ∫ 1 (3x–4/x)dx|

21344422●–2

213445●6

Ñì (âûñ ýò òðåóã)

213512●5/3

213541●(3; 5; 2)

21357●y=–5x+3

2136●9

2136212422●–a/2

21362422●–a/2.

Îïð êîñèíóñ áîëüø èç îñòðûõ óãëîâ)

21386●(3x–8)7+C |f(x)=21(3x–8)6|

243934116659831655●–30 5/18

Ìóøå)

214●7/24 | 2 ∫ 1 dx/x4|

214●à²+à+2 {(à+2)(à–1)+4.

214●9/2

214●x=±π/6+πn,n*Z

2141●1/õ²+õ+1

21413●a>0,7

21414●5

214160●102

Sin2a

2142●6/ln2–2ln2 |2 ∫ 1 (4x–2/x)dx|

2142●ïàðàáîëà {õ²+ó+1=4(2ó+õ)

21421●1/õ²+õ+1

214212110●[1;11]

214235●√45/2

214240●–12;–2.

Ñêîêî ñåðåáðà)

Êã

Log43

2143●–3 |2 ∫ –1 (4x–3)dx|

Íà3 (Íà ñêîêî áîëüø äâóãîð, ÷åì îäíîíîð)

214318●61

21433211●12

21435●6/ln2–3ln2+5 | 2 ∫ 1 (4x–3/x+5) dx|

2143523●{2}

21435431921127●–0,4

214359●4•5/6

21436●–24

Êì

Km

2145●(1;1)

2145●21 ( Óê ÷èñë 21/45)

214515●(4;–5)

2147005●8/3.

2149●1/3;2/3; æ/å 1;2/3;1/3

2149●3ñì (Îïð íà êàêîì ðàññò â ∆ÀÂÑ)

215●(–2;3) {|2õ–1|<5

215●29,6

215●{2} | lg(x²–x)=1–lg5 |

215●1/5 |sin(π/2+arccos1/5)|

215●–1/5. |cos(π/2+arcsin 1/5).|

215●–2; 2 √x²+1=√5

215●(–∞;–3)U(2;∞) {|2õ+1|>5

215●x>2 èëè x<–3 |2x+1|>5

215●õ1=2, õ2=–1. |lg(x²–x)=1–lg5|

215●10 2/3

Ñòð38áóê

Ñòðîê,38 áóêâ

2151●6

21510●(–1;8)

2151115●D P(2/15) D(11/15)

215113●{1,5}

Êã

215152●m²–3m

2152●–2/ln2+5ln2 |2 ∫ 1 (5/x–2x)dx|

21520●20 êì/÷àñ.

21521●(0;1).

21522●20/ln5+2ln2+2 |2 ∫ 1(5x+2/x+2) dx|

2152232●x=–6 |2x–1/5–2x–2/3>2|

215267●8/21.

215275●√3/2 |cos²15º–cos²75º|

215320●(–2;2).

21534545●5,25

2154●3. |õ+2/õ+1=5/4|

215400251250●4

215421●–2,5;2.

215421●–1; 0; 5 | 2õ+1/õ–5=–4/2õ+1 |

21543455●5,25.

A

2155●1

21552●1155cm³

215545●9

2156●2145 ñì³ (îïðåä îáúåì)

2156●[–1;11]

215623●4,5êì/÷

215835742●3

2159162083412000010005●365·5/8

216●–21 (ñóììà 6–òè ÷ëåíîâ ãåîì ïðîãð)

È 3. (Íàéäèòå ýòè ÷èñëà)

216●(25;9) |{√õ–√ó=2, õ–ó=16|

Íàéä ýò ÷èñë ïðîèç áûëî íàéá)

2160●80º,100º

21602●90 ñì² (Íàéäèòå ïëîù òðàïåöèè)

2160425●4

216045●441√6/2ñì² (ïëîù áîê ïîâåðõ ïèðàì)

2161221●(1; 3)

2161261●(1;3)

216131625112512●5

216153215●x<3/2

2161632127●(–∞;-4]U[4; +∞)

2162●4,5

2162227●4

21625125●–6

2162632127●(–∞;–4]U[4;∞)

216330●π/18+πn/3,n*Z

216312●x–4/3

2163149●(18;12)

216325●[-4;-1]U{4}

21640●íåò ðåøåíèé |õ²–16/√õ–4=0|

216450375275112●2

21663218●(–∞;–4]U[4;+∞)

217●14(2õ+1)6

217●1 | õ21=7 |

217●{–6;10}

2170●(–7; 21)

21712327936●25.

2173172172●21700

217365●9.

2174311●(–4;2]

A

2175715489●1

21772●7a–7/a

À

2182221422●(–4;–1),(4;–1),(4;1),(–4;1)

M

218312●13; 1/3

21836●8

21848●b1=±27,q=±2/3

218481●b=±27 q=±3

2185144●q=–2

2185916●27

È 15 (Íàéäèòå ýòè ÷èñëà)

2190●x≠–9

2190225●19/40.

2191719●15/19 (x+2/19=17/19)

2192127●–3

2193721201144●1

2194290●(–4;2)

219433523.. ●1·2/15

219433525110●9*2/15

22●0

22●0 (√õ–√2/õ–2 íàéá çíà÷ )

22●0,25;4

22●0,5 |√x/2=x²/√x|

22●a={0;2} {õ²+ó²=à, õ-ó=à

22●(0;2) |{õ²+ó²=à õ–ó=à|

22●(0;4) {x+y/2=2

22●(0;5) {√2–õ=õ

22●(0;5) (√2-x=x)

22●(1;∞) |ó=log2(x²–x)+lgx|

22●(1; 1)

22●1 |cos2α+sin²α|

22●1 (sin²α+cos²α)

Âïèñ îêðóæí)

22●–1 {a=π/2, îíäà cos2a 22●–1 |sin 2α–(sinα+cosα)²| 22●1 {sinαcosβ+cosαsinβ)²+cosαcosβ–sinαsinβ)²

22●1;2

22●π/2 |y=sin2x•cos2x|

22●[-1;2]

22●(–∞;2] |x–2|=2–x

22●1/3 |ó=õ–õ², ó=õ²–õ|

22●1/3 |ó=õ², õ=ó²|

22●1 1/3. |ïëîù ôèãóðû y=2x–x|

22●1 1/3 |Âû÷ ïëîù ôèãóðû ó=õ², ó=2õ|

22●–1/5 | cos²x–cosx•sinx, tgx=2 |

22●2π |y=sin2x+tg x/2|

Øåíáåð ðàä)

Íàéäèòå ðàä îïèñ îêðóæ)

22●2 {tg(–α)ctg(–α)+cos²(–α)+sin²α 22●2 {å²∫å 2dx/x 22●2 (sinα+cosα)²+(sinα–cosα)²

Ñì (ñòîðîíà êâàäð)

22●πk,k*Z |sin2x=2sinx| 22●πk, k*Z, arctg2+πn, n*Z |tg²x=2tgx| 22●4πn≤x≤2π+4πn, n*Z |y=2+√sin x/2|

Sin3x

22●2cos 4x |f(x)=sin2x•cos2x|

22●3/a+b

22●a+b (a²–b²)/(a–b)

22●a–b {a²–b²/a+b

22●(–∞;–4]U[0;+∞) {|x+2|≥2.

22●(–∞; 0) U (1; ∞) |õ² ∫ õ 2dt>0|

22●{0;2}

22●π/3+4πn≤x≤5π/3+4πn, n*Z

22●±π/4+2πn,n*Z |cosx=√2/2|

22●±π/4+2πn,n*Z |2cosx=√2|

22●±π/4+2πk,πn,n,k*Z | sin2x=√2sinx |

22●π/4+πn,n*Z |cos2x=√2(cosx–sinx)|

22●2πn; π/6+2πn/3

22●1/3 (y=x–x²,y=x²–x)

22●1+4/x²

22●45° {arcsin(√2/2)

22●–45° {arcsin(–√2/2)

22●45° {arccos(√2/2)

22●135° {arccos(–2√2)

22●4,5 {ó=õ2,ó=2–õ

22●a+b

22●õ4–ó4 (õ–ó)(õ+ó)(õ²+ó²)

22●a4+b4+6a²b²+4a³b+4ab³ |((a+b)²)²|

22●a+x/x |a²/ax–x²+x/x–a|

22●a/xy-a²

22●ax |a²x–ax²/a–x|

22●2à/b |2a–b/a•(a/2a–b+a/b)|

22●2(ex/2–1/4cos2x)+C {y(x)=ex/2+sin2x

22●1–sin x*sin2x/sin x

22●2

22●√2 |f(x)=sin2x/√2, f(x)=?|

22●√2 |y=sin2x/√2. f(π)|

22●–2;0 (–∞;–1) (–1;∞) |ó=–õ²–2õ|

22●–2;2 á)(–∞;0),(0;∞) â)æîê |ó=õ/2–2õ íóëè îñó êåìó|

22●64/15π (Îáúåì òåëà ó=2õ, ó=õ²)

22●3/5 |cos2α, ctgα=–2|

 ìîìåíò âðåìÿ)

22●2ex–1/x•ln2 | y(x)=2ex–log2x |

22●7/3

22●4πn(π/8+α/2)sin(α/2-π/8)

Y= 2+√sinx/2●●●4πn«x«2π+4πn.n*z

22●cos α/2 {cosαcos α/2+sinαsin α/2

22●–sin x/2

22●–sin α

22●√x+√y/ √x-√y

22●x²(1-lnx)-2(1+lnx)/(x2-2)²

N

Ab

22●x²–x²lnx–2lnx–2/(x–2)² | f(x)=xlnx/x²–2 |

22●(–1)n+1 π/4+πn; n*Z |sinx=–√2/2|

22●(1;∞) {y=log2(x2-x)+lgx

22●(a–b)(x²+x–1)

22●(a–c)(x²–x–1)

22●[–3π/4+2πn, 3π/4+2πn],n*Z (cosx≥–√2/2)

22●[–5π/4+2πn, π/4+2πn],n*Z (sinx≤√2/2)

22●1 |√2–x²=x|

22●–1 |√2–x²=–x|

22●3π/4 |arccos(–√2/2)|

Êâàäðàò àóäàíû)

Ïëîùàäü)

22●4x³ |Óïð âûð x•x•x•2•2 |

22●3/5

22●5/2 ( log2x=logx2 )

22●4πn≤x≤2π+4πn,n*Z | y=2+√sin x/2 |

22●(5π/4+2πn;–3π/4–2πn),n*Z |x+y=π/2 sinx+siny=–√2|

22●x=5π/4+2πn; ó=–3π/4–2πn; N*Z

22●7/3 |y=2–|x|, y=x²|

22●4/3 |y=x², y=2x|

22●a+b/c²–d² |ad–bc/2cd(c+d)+ad+bc/2cd(c–d)|

22●(2a+b)(x–y) {2ax+bx–2ay–by.

22●–ab {ab²–a²b/a+b.

22●m²–2 {tg²α+ctg²α=m,tg²α+ctg²α

Sin2a

22●–45

22●x²(1–lnx)–2(1+lnx)/(x²–2)² ( f(x)=xlnx/x²–x )

22●–sinx/2 {f(x)=2cosx/2

22●√7

22●–π/8+πn/2,n*Z |sin2x=–cos2x|

22●2πn, π/6+2πn/3,n*Z |sin2x–cosx=sinx–cos2x|

22●x=5π/4+2πn; y=–3π/4–2πn,n*Z

22●x=5π/4+2πn

22●xmax=–2, xmin=2 ( ó=2/õ+õ/2 )

22●xmin=π/2+πn,n*Z ( ó=2x+sin2x )

22●π/4+π

22●y=-x?x?+x2

22●x²+4xy+4y² | (õ+2ó)² |

22●x²+y²/x²–y² | õ/õ+ó+ó(õ+ó)/õ²–ó² |

22●a=(0; 2)

22●(a–b)(c–a)(c–b) (a–b)²(c–a)(c–a)²(a–b)

22●4a(b–c) (a+b–c)²–(a–b+c)²

22●4a²–b² |(b+2a)(2a–b)|

22●–π/8+πn/2; n*z (sin2x =–cos2x)

22●a)-2,2; b) jok c) (-∞;0)(0∞)

22●õ=–1/2 ìèí. íyêòå

22●a)x=–2 x=–2

22●a)x=–2; x=2 á)xmax=x1; xmin=x2

22●õ=1; ó=3. |x²–y=–2|

22●õ²+4õó+4ó²(õ+2ó)²

22●õ²+2õó+ó²–4 (x+y+2)(x+y–2)

22●4a•(b–c) (a+b–c)²•(a–b+c)²

Íåò ðåøåíèè èëè îòâåò

22●æàóàáû æîê ( sinx+cos2x=2 ) 220●1; 3/2 |ó=2sinx+cos2x, [0; π| 220●12 ( x+y, xlgy=2 x y=20)

Ïk

220●π/2+πê,ê*Z,2/3π(3m±1),m*Z

220●–1 f(x)=(x²–x)•cos²x f(0)|

220●–1≤õ≤2 èëè [–1;2] |x²–x–2≤0|

220●(–2;0) |õ²+2õ<0.|

220●(–∞;–2]U[1;+∞) |x²+x–2≥0|

220●(–∞;0)U(1;∞) |õ² ∫ õ 2dt>0|

220●4,5 |ó=–õ²+õ+2 è ïðÿìîé ó=0.|

220●π+2πï,n*Z |2cos(x/2)=0|

220●π+2πk |2•cos(x/2)=0|

220●±3π/4+2πn,n*Z {2cosx+√2=0

220●3/2; 1

N

220●4

220●4*1/2

220●[–π/4+πk; 5π/4+2πê],k*Z {2sinx+√2≥0

220●–3 {f(x)=2cosx–cos2x

È -14

220●π/2+πn; ±π/3+2πk;n,k*Z |2cos²x–cosx=0|

220●–π/4+2πn≤x≤5π/4+2πn,n*Z

K

220●πn, n*Z

220●πk,k*Z {sin²x–2sinx=0

220●2

220●[–4;5]

220●45,36

220●õ≤–2, õ≥2

220●300; 800êì/÷

Ãóñåé,15600óòîê

Øåøóè æîê

2200●à=arctan2 y=sin2x+cos2x, â òî÷ê (0;0)

Ab

22001●5 8/15π |y=x²+2, y=0, x=0, x=1|

22002●16/15π |y=x²+2x, y=0, x=0, x=–2|

22000120●√10

Òåíãå

22005●ó=–14õ+11.

22011●3 1/3. |y=–x²+2, y=0, x=–1,x=1|

2202●1 1/3 |y=2x–x², y=0, x=2|

2202●5*1/3

22020●(1; 10]

22021●y=1

22021●3π/2

220220●(–1; 0)

22025●(–3;4]

22024232●2

22025222●2.

2203●(–20;–12),

2203●0,35 |sin² α/2, cos=0,3|

2203●y=4x–9 |y=x²–2x â òî÷êå õ0=3|

Ãóñ,15600óòîê

Ãóñ,15600óòîê

220●[–4; 5] {–õ+õ²≤20

22011●3 1/3

2203●ó=4õ–9

22037●385

2204●0,7 |cos² α/2, åñëè cosα=0,4|

22040●–m/√m²+1 |sin220°, tg40°=m?|

2204020●1/2 |2cos20°cos40–cos20°|

2205●íåò ðåøåíèÿ {√õ–2+√20=√5

220516●0.25;8

NOD)

221●1 |x/y=y/z x²+xz+2xy=1|

221●1;–1 |2cos²α–1|

221●(–1/√2; 1/√2) |ó=–2õ²+1|

221●(–∞;–1/√2)U(1/√2;+∞) |y=2x²–1|

221●a=±√2 {x²+y²=1 x–y=a

221●±2π

Ëþáîå ÷èñëî

221●2/(2x+1)•ln2 221●2õ²–2õ/(2õ–1)² {f(x)=x²/2x–1. f(x) 221●(-1)ⁿ+π/6+π,n*Z; –π/4+πk,k*Z

221●√2

221●–4 | f(x)=2x². Íàéäèòå (–1) |

N

221●2π/3n,n*Z {cosx·cos2x–sinx·sin2x=1

221●1/2<õ<2 | log2xx²<1 |

221●2cosa2cosa-sin2a/1-sina

221●–ctg²α

221●–cos² α |cos²α*tg²(–α)–1|

221●–sin²α {tg²α(sin²α–1)

Êåç-êåëãåí ñàí

221●π/4+π/2k,k*Z

221●π/4+πn/2; n*z /sin² 2x=1/

221●πn/2;n*z /cos² 2x=1/

221●–π/2+2kπ /tg(π/2+x/2)=1/

2210●(-1)k+1π/8; ±π/2k

2210●[9;+∞) |ó=õ²–2õ+10|

2210●–1

2210●–1/10

2210●π/2+2πn;(-1)k+1π/6+πk;ê;n*Z

{2sin²x–sinx–1=0

2210●π/2+πk |ctg²x/2–1=0|

2210●–π/4+πn; nÝz /tg²x+2tg x+1=0/

2210●(-∞; -1]U[1;∞)

2210●π/6; 5π/6

2210●π/4(2k+1),k*Z |2cos²x–1=0|

2210●õ=–π/8+πê/2, ê*Z

2210●x≠–1 ( x²+2x+1>0 )

22100●f(x)=–1.

22100●√2

22100●π/6; 5π/6

22100●π/6 | 2cos2x–1=0 íà èíòåð (0; π) |

22100●83/15π (Îáúåì òåëà ó=õ²+2, õ=1, õ=0, ó=0)

221002●(–8;6),(6;–8)

2210048●(8;6);(6;8);(–8;–6);(–6;–8).

2210060●(0;–10),(0;10),(–8;–6),(8;–6)

22101●y=–1

Ñì

 ÷åòâåðòîé

221014700●2ñì |õ²+ó²–10õ+14ó+70=0|

Ñì

221016●1464 ñì²

Êã

2210232●{7π/6, π/2}

22103●y=12x–19.

221052●1;5,5

22105824●3;4

221060●1464

Êã

2211●ab(a–b) |(a²–b²):(a-1+b-1).|

2211●1 |åí êèøè y=e2x–2x íà èíòåðâ(–1;1)|

2211●60

Îïð óãîë íàêëîí îòð ê ïëîñê)

2211●–1/3.

2211●–1/3 |f(x)=(x+2)/(2x+1), f(1)|

2211●õ=2.

2211●sin²β |ctg²β(cos²β–1)+1|

2211●a+b/ab |a–2–b–2/a–1–b–1|

22111●a²–ab+b²/ab

Xy

Êã.

22111111●8√2cm²

221112131●2

221121●(–3;–2),(3,1).

2211221●1/a+b

22112222●0;1

2211231122231●3x–2.

221125225●3.

221130●(–6;–5);(6;5) |{õ²–ó²=11 õó=30|

2211332●(9;7)

22114520●2

2212●–3. {çíà÷åíèå 2m–M

2212●2(ln2–2); –2 y(x)=2lnx–2x [1;2]

2212●1

2212●(3,5; 1,5)

2212●[0; 2]

2212●π/8+π/4ê, ê*Z |sin²2x=1/2|

2212●π/8(2k+1),k*Z |cos²2x=1/2|

N; nÝz

2212●4.

2212●π/8(2k+1)

2212●2+2/å²

2212●–sin²α |cos²α–(ctg²α+1)sin²α|

22120●–π/2+2πk,k*Z 2πn,n*Z

22121●–8/25 {f(–2), f(x)=x²–1/x²+1

221210●(–∞;0]

È(3;2)

Õ3

Cm

22122●1/à | õ/à(x–2a)–2(1+x)/x(x–2a)+(x–2a) |

22122●2

22122●y≠1

22122●y≠1 {y=2x²–x–1/x²+x–2

22122●y≠1; y≠2 |y=2x²–x–1/x²+x–2|

Lg2

221220●πk/2

221221●(0;+∞)

22122122●4πn/3

221221822212●2

2212220099●1–√2

22122221●{0;1}

221222223100●3/2

X

221223●π/2(4n+1)

221223●(–∞;–3)U(1;+∞)

221225●90%

Sin8a

22123●π/2+πn,n*Z

221231●2

221232●2

X.

22123381●(-5/3; 7/6)

221242●8. |2(√2+1)²:4√2|

2212424●1

22125●3

2212505113●1,5.

221252522●1.5

Íè ïðè êàêîì äåéñòâèòåëüíîì õ

Sin8x

2212360●0

2213●1

2213●9/2

22132●2 {22x+1=32

2213225●(±3;±2) |{õ²+ó²=13 õ²–ó²=5|

22132321222●–√3;√3

ßâë ¹5

221331●–2.

221331●1 |f(x)=x–2/x²–1/3x³, f(–1)|

22133123●(3;1),(1;3)

221334●(3;1)(1;3)

22134●(3;1) (1;3) |{x²+xy+y²=13 x+y=4|

221350●{2;3}

22136●(–2;–3);(2;3);(–3;–2);(3;2).

2214●–1–32/π² |f(x)=cos²x+2/x–1, x=π/4|

2214●10 ñì² (ïëîù äèàã ñå÷åíèÿ)

2214●0,96.

2214●–0,96 |sinα, åñëè sin α/2–cos α/2=1,4|

2214●(–1)k+1π/24+πk/4,k*Z |sin2x•cos2x=–1/4|

2214●±π/3+2πë |2cos2x=1–4cosx|

È (3;2)

2214122232●(–3/2;–1)

2214112321932●–1

Íè ïðè êàêîì äåéñòâèòåëüíûì x.

X ìàíè æîê

22142714●2

221431●x=–3

221431●–1;3 |õ²–2õ/õ–1=4/õ+4|

22144●(0;–12)

22144122●0,25

2215210●(–5;3)

22152513●2

22153●(–∞;-3]

Km (Êàêïóòü ïðîø ïî òå÷ 3÷,ïðîò 4)

Êì

Òã

221563210●{–1;0}.

2215822292225●2

2216●a=±4

22161024●–2;2

2216216●8

2217●2 |√√õ+21+õ=√7|

Log23

2218●2(x–3)(x+3) {2x²–18

22180●(–3;–3)

22181●08

22181●0≤õ≤√2, õ>8

22182214●(–4;–1),(4;-1);(4;1),(-4;1)

22189●(–3;–3);(3;3) |{õ²+ó²=18 õó=9|

221915●(3;5); (5;3);(–3;–5); (–5;–3).

A

222●±1 |y=2x²è ó=2|

222●(x–z)(y–x+z).

U(1;2)

222●π/4+πn;n*Z; ±2π/3+2πk,k*Z

222●π/4+(4n+1),n*Z |2sinxcosx–cos²x=sin²x|

222●(a+2c)(a–b)

222●π/2+πn; π/6+πk

222●±2π/3+2πk; π/4+πn,n*Z |sinx+sin2x=cos2x+cos²x|

222●(–∞;0)U(0;+∞)

222●(–1;∞) | f(x)=log2(log2(x+2)) |

222●(a–b)(b–c)(a–c)

222●1. |2cos² α/2–cosα|

222●1 |cos2α+2sin²α|

222●a–b (ಖ2àb+b²)/(a–b)

222●sin2α/2

222●2. |((√2)√2)√2|

222●2–x (x–2)²/(2–x)

222●4 |π/2 ∫ –π/2 2cos xdx|

222●2–x |(x–2)²/(2–x)|

222●2 {tg²x+ctg²x, åñëè tgx+ctgx=2

222●1/cos²α

222●1/sin² α {cos²α+ctg²α+sin²α

222●(–3;–2]U[1;2)

222●2x |õ²–ó²/õ+ó•2õ/õ–ó|

222●0

Cosx

222●4x/cos²(2x²–√2)

222●–4õ/sin² (2x²–√2) |f(x)=ctg(2x²–√2|

222●x²cosx y=(–2+x²)sinx+2xcosx

222●π/8+πn≤x≤3π/8+πn,n*Z |2sinxcosx≥√2/2|

222●(–1)kπ/8+π/2k, k*Z |2sin2x=√2|

222●(–1)nπ/8+π/2n, n*Z |sin2x=√2/2|

222●(π/8+Ïn; 3π/8+πn)

222●±π/8+πk,k*Z |cos2x=√2/2|

222●±π/6+πn,n*Z |cos2x=2sin²x|

222●1/b–à

222●cos x ( f(x)=2sin x/2 cos x/2 )

222●sin²x |tg²x–sin²x•tg²x|

222●1/sin2α–cos2α+ctg2α+sin2α

222●1/2 sin2α |2cos α/2 sin α/2 cosα|

222●2π {ó=(sinx/2+cosx/2)2

Õ

Å2.

222●6 ( y=2x²+x, àáöèññ –2)

222●õ(õ+1)(à+â-ñ)

222●(x+2y)(x²–1) |x²(x+2y)–x–2y|

Õ2cosx

222●a²+4x²+x4–4ax+2ax²–4x³

222●à={0;1} |õ²–2ó²=à õ+ó=à

222●a²+4/4a

2220●(1;2)

2220●(5;5) |{logyx+logxy=2 x²–y=20|

2220●(–1;0)

2220●2

2220●4x+10/√x

2220●πn, n*Z,–π/4+πê

2220●π/2+2πk,k*Z {2sinx–cosx–2=0

2220●–π/4+πn,n*Z |sin2x+2sin²x=0|

2220122522232●1/4

222001013●3π+π/2

22202●ó=–8õ+10

Ab.

22202212●(–4;–2),(–4,2)(4,–2)(4.2)

222025222●4b–2c/2b+c

22203003300040044000●a>b=c

222035015●–0,33.

22206●(4;–2);(2;–4) |{õ²+ó²=20 õ–ó=6|

2221●sin2x+1

2221●–1/2cosx+1 |f(x)=sin x/2·cos x/2,F(x),M(π/2;1)|

2221●–2/x+2cosx+x+C |f(x)=2/x²–2sinx+1|

2221●(2;1);(–2;–1) | {x²–xy=2 y²–xy=–1 |

2221●(π/2–πn; πn),n*Z

2221●1 (sin α/2+cos α/2)²/1+sin α

2221●b–a

2221●cos2α

2221●sin2x+1 |f(x)=2cos2x, F(x), M (π/2; 1)|

2221●x≥0 |x=√2x²+y²–1|

2221●x=π/4+πn/2; y=π/4–πn/2;n*Z

2221●õ=2.

2221●õ=2 {logx (x²–2x+2)=1

2221●a+b/a–b {(a–b)²/a²–b²)–1

2221●π/2+πk |sin²x+2cos²x=1|

2221●±π/8+kπ/2,k*Z |2•sin²2x=1|

2221●π/8+(2k+1),k*Z |2•cos²2x=1|

222100●(6;–8);(–8;6). {x+y=–2 x²+y²=100

222102●3.

2221111222210●–8

22211221●(6;9]

22211221●9

2221212222●1; 3; 4

222122522232●1/4.

222123●11

2221272●–3;1

X

2221322●[–6;6] |x²–2√x²+13=22|

22214●6

222146●(3;2);(–3;–2).

22216●1

22216240●(–√2;–√2)U(√2;2)

2221822214●(–4;–1),(4;–1);(4;1),(–4;1)

2222●(2;5)

2222●4

2222●–xy. | x–x²–y²/x–y)•(y+x²–y²/x+y |

2222●–x–y/x+y |x/x–y+x²+y²/y²–x²+x/x+y|

2222●tg² α/2|2sinα–sin2α/2sinα+2sinα|

2222●tg² α |sin²α–tg²α/cos²α–ctg²α|

2222●x+sinx/2

2222●a/a–b

2222●(a+3b)(3a–b) |(2a+b)²–(a–2b)²|

2222●ab(5b–2) |2a(2b²–b)+ab²|

2222●arctg2/2+kπ/2

2222●tg6α

2222●(–∞;2) | f(x)=2lg(2–x)lg[(x+2)²] |

2222●√n=√m

2222●[π/4; π/2]

2222●a+c/a–x |a²+2ac+c²/a²+ac–ax–cx|

2222●0

2222●0 |sin(arcsin√2/2–arccos√2/2)|

2222●0 | arcsin(–√2/2)+arccos √2/2 |

2222●0 {tg²α-sin²α-tg²α sin²α

2222●y–z/2 (ó²–z²)/(2y+2z)

2222●1 (cos2a(a+b)+

2222●1 |tg²x•cos²x+ctg²x•sin²x|

2222●1/2cosx {cosx+cos(π/2+x)/2cos²x–sin2x

2222●4 |ó=õ²+2 è ó=õ²–2|

2222●180°

2222●2 15/16

Ó3

2222●a/a–b

2222●a+c/a–x |a²+2ac+c²/a²+ac–ax–cx|

2222●a+c/x–a |a²+2ac+c²/a²+ac–ax–cx|

2222●–sinx |f(x)=cos² x/2–sin² x/2|

2222●sinx+C |y=cos² x/2–sin² x/2|

2222●tg6α

2222●√2/2

2222●àõbx |à2õ+2àõby+b2y–(ax+by)2|

2222●n–m |n²–m²/(√n–√m)²+2√mn|

Nx

2222●tg²α/2

2222●√2+(π+4)/8;–√2π–2/2 |ó(õ)=√2õ+cos2x [–π/2;π/2]|

2222●y–7/2

2222●(ó–3)/2 |(ó²–z²)/(2y+2z)|

2222●a+x/a-x

2222●y=–7/2

2222●π/2+πn; π/4+πk;n,k*Z |sin2x=2–2sin²x|

2222●πn/5,π+2πn,n*Z |tg²x=2•sin2x cos2x |

2222●π/4+πk; k*z | sin2x=2–2sin²x |

Íåò ðåøåíèè

2222●(b–c)³

2222●2πn;π/2+2πn,n*Z |2sinx+2cosx+sin2x=2|

22220●–π/2+2πk,k*Z 2πn,n*Z

22220●–2<x<0 èëè x>2 ( x–2/x+2–x+2/x–2<0 )

22220232●(x-y)²

22221●8/9

22221●π/2n, n*Z

22221●{πk/2} ( cos²2x–sin²2x=1 )

22221●2xy/x²–y²

2222108●4

Ln2

222212●πn, n*Z

222212●±π/12+π/2n,n*Z |cos²2x–sin²2x=1/2|

2222133●cosecα

222215●3/2 {2sinα+sin2α/2sinα–sin2α,cosα=1/5

222215●1,3

222215●1 1/2 |2sinα+sin2α/2sinα–sin2α, cosα=1/5|

222215●1,5. |2sinα+sin2α/2sinα–sin2α, cosα=1/5|

222216●2. |log2 log2 log2 216.|

222216●[8;∞) |log2x+log22x≥log216x.|

22222●0

22222●(–∞;0] |2–2õ+2≥22|

22222●√x+y +√x-y

22222●x–2/x3

22222●m–n

22222●2 (2m+m²+n²/n):(m+n²/m+2n)–m/n

222220●2√2

222221●(0;1);(0;–1)

2222210110111252●–4

2222211122221●1

2222262●[2; 4) |√x–2+√x+2+2√(x–2)(x+2)=6–2x|

222222●ಠ|ab–a²b²/a²+ab):ab–b²/a²–b²|

222222●sinα sin4β

222222●(a+b+c)²

222222●(a+b+c+d)(a+b-c-d)

222222●b²(a²+b²) |(à²+b²)²–a²(a²+b²).|

Ln2

222222●x=1; ó=1 |2õ²–2õó+ó²–2õ+2 íàéì çíà÷|

222222●a–x

2222220●2(bc–ac)

22222205●0; 16/9.

2222221●a²

22222211●(0;1/2]U(1;√2]U(2;+∞)

2222221●(0;1/2]U(1; √2]U[2;8)

2222222●(a-b)/4

2222222●2xy/(x+y)²(x-y)

2222222●z³+2z+2/z

22222222●m/2

22222222●0

B.

22222223●4.

22222242●(–2;0),(–2;–1),(1;0),(1;–1)

222222434122●à–2

222223●π/4+πn/2,±π/3+πn,n*Z

2222230099●1–√3

2222230099173231734●1–√3

222223523●a(a+b)/b–a

222224●4.

22222481●–1

222225●1/sin²5α |sin²2α+cos²2α+ctg²5α|

222226●0,5; 2.

22223●m³+4/6

22223●1/2. |sin2α+cosα/cos²α+sin²α+2sinα, α=–π/3|

222232222●π+2πn, π/2+2πn,π/5+2πn/5,n*Z

22223242●π/2+πn;π/4+πn 2π/10+πn/5

22223242●π/2+πk,k*Z;π/4+π/2m,m*Z; π/10+π/5π,n*Z

|cos²x+cos²2x+cos²3+cos²4x=2 |

222233●(–1)k π/3+πk, k*Z;–π/2+2πn,n*Z

2222332221●(m–n)/(x+y)(m+n)

Tg4a

Log23.

2222422●m–n/2(m+n)

2222460●16

222248222●1/2a²(a+b)

22225●6

22225●π/3+πn,n*Z;–π/3+πê, ê*Z |2cos2x+2tg²x=5|

22225●1/sin²5α

22225050●(5;4)

2222515●(–5/4;∞) {2õ²–2õ<2õ(õ+5)+15

2222532223●8/11

222254●(–0,5;–4,5),(4,5;0,5)

222254●(4,5; 0,5),(–0,5;-4,5)

222255●a–b–5

222256●65/52

2222615●3/2

22228120●2;–4

22228120●25–4

222282221●–16

2222824●–1

2223●(–∞;+∞) |ó=log2(x²–2x+3)|

2223●3/5

2223●51/50

2223●24 2<log2(x–2)<3

22230●π/2+2 {sin2x·√–x²+2x+3=0

22230122230●1.

22231●4

222312325●(8;2)

222320●Äұðûñ æàóàï æîқ | 2sin²2x+3cos2x<0 |

22233●4a4b²/9m²n6

222315●[0;∞)

222312325●(8;2)

22232●0

22232●1/4 sin²2α

222320●–π/4+πn;–arctg3+πk;n;k*Z

Íåò ðåøåíèè

2223220●{–1;0;2;3}

2223220●1

22232223●cos45°=√2/2 |m=cos22°•cos23° è n=sin22°•sin23°|

22232238●3.

22232425●πn/2, πn/7,n*Z

222324515●(0;+∞)

222324252●π/2+πk, k*Z; π/14+π/7n, n*Z; π/4+π/2m, m*Z

222325●ಠ| (2•2•2•3•à•à+à•à):25 |

22233●–π/2+2πn,n*Z;(-1)k π/3+πk,k*Z

22233●–π/3+2πn,n*Z; 2π/3+πm,m*Z; 3π/2+πk,k*Z

|2sin²x+2sinx=√3+√3sinx|

2223322262●(2;1),(–2;–1)

222332442●6

2223326●36;12

22234●5√2

222340●–√2 |x²+2a√a²–3x+4=0|

222344●a-1/a²(a²-b²)

222345152●(0;∞)

2223524●–4

AB.BC è CD.ED

2224●16 |2∫ –2 (2õ+4)dx|

22240●3.

222401●–7,999

2224111●(6;10)

22242●8

2224200●5

22242129●{–1;1}

222422●x+2/x-2

22242238●2

2224332●21

Log23

22244●1/a+b

22244●4 (åí ê³ø³ ìí)

Åí óëêåí ìí)

22245●(3;–1,5) |y=x²/2–2x ïîä óãëîì 45º|

2224888438●12

222497●a–b+7

2225●90%

2225●0,3 |sin²α, åñëè cos2α=2/5|

2225●29 |a²+b², a=2, b=5|

2225●2–√2/4

22250●{–12,8}

22251●(4;3);(–3;–4) |{õ²+ó²=25 õ–ó=1|

22251●(3;4) |log2(x–2)+log2(5–x)>1|

222512●90%

222512●(3; 4);(4;3);(–3;–4);(–4;–3).

2225142118●78

2225225●1/2

22252225●√2/2.

2225240232●13π/12; 17π/12

22252422●a; –2,5à

222525●(–5;0);(4;3);(4;–3).

2225622●x(a–b)/a+b

2226●0,5; 2

2226●π²/72 |f(x)=(2–x²)•cosx+2x•sinx, x=π/6|

22271149●3

222722221●5

22275●x=5

222750●(3;7]

22276312134312●–1/3

2228●–26.

222824●1

2229●π/7+πn/3π/3+πn/1

N

AKM)

223●1 (2AK=BK, 2AM=CM;3)

223●x=–1 òî÷êà ìèíèìóìà |f(x)=x²+2x+3x|

223●2(2+√3) {2/2–√3

223●(2;3) |ó=(õ–2)²+3|

223●(0; 2√2)

Sm

223●–7 ( tgx, sinx–cosx/2cosx+sinx=3 )

223●√π/π+2

223●y=–2x+3 (f(x)=x²–2x+3)

223●(–∞;1] | ó=õ²–2õ–3 óáûâàåò |

223●[–1;∞)

223●[1;+∞) |ó=õ²–2õ+3|

223●(–1)nπ/6+πn,n*Z |2cos²x=3sinx|

223●[–2;3)U(3;∞]

223●xεR

223●1 (y=–x²+2x–3 ïðèí íàéá çíà÷)

223●1,4

223●3

223●(0; 2√2) (2log2x<3)

223●3 {y=x2/2-3x

223●4–2√3

223●–6(1–2õ)²

223●(6; +∞) |ó=õ–2/2–õ/3,áîëüøå íóëÿ|

223●–√5/6 |π/2<x<π sinx=2/3, cosx–ctgx?|

223●x=(–1)k+1 π/6+π/2k,k*Z |2sin2x=–√3|

223●–π/3 |arcsin(sin22π/3)|

223●π/12(6k+1),k*Z |ctg²2x=3|

2230●–1<x<3 | y(x)=–x²+2x+3. y(x)>0 |

2230●(–1,5; 1)

2230●100

2230●(-1)n+1 π/6+πn/2;n*Z |2sin2x+√3=0|

2230●(–1)k+1 2π/3+πk,k*Z |2sin x/2+√3=0|

2230●45

2230●x=(-1)k+1 π/6+π/2k,k

K

2230●(–3/2;1) |2õ²+õ–3<0|

Ordm;

2230●π/4+πk,n*Z arcctg(-1;5)+πn,n*Z

2230●[-3;1]

2230●cosx+3=0 èëè cosx–1=0 |cos²x+2cosx–3=0|

2230●π/12(6k±1),k*Z |ctg²2x–3=0|

2230●–π/2+2πn |2cos2x+sinx+3=0|

223030●0,5.

2230452602301●4/17

22306●(3;3)(–3;9)

2231●1;–2

2231●–π/3+πn≤x≤πn,n*Z |2cos(2x+π/3)≥1|

2231●π/8+πn/4; π/4+π/2,n*Z |cos²x+cos²x3x=1|

2231●[–4;–3)U(1; 2]

2231●6

22310●(-3;-1)U(1;+∞)

22310090●120

2231214●32/3

223113●2.

Sinx

22315●(–1,5; 5)

22313313313●π/6

Ñì.

22315220●1

22318●õ=4

223182●(–∞;+∞)

2232●7 |m²+n²–mn, m=3, n=2|

Abx4

2232●√π/π+2 |f(x)=sinx•√2x+2x+3, x=π/2|

2232●(2;∞)

N

2232●±π/12+πn, n*Z |cos²x–sin²x=√3/2|

2232●e2x+x3–cosx+C |y(x)=2e2x+3x2+sinx|

2232●3

2232●4+2³√2+³√4/3

2232●6abx4. |(–2ax²)·(–3bx²)|

2232●π/2+πn,n*Z;π/3+πk,k*Z |sin2x=2√3cos²x|

2232●104

22320●–1/2; 2

22320●π/2+πn,n*Z ±arccos3/4+2πk,k*Z

22320●±π/2+πn,n*Z | 2sin2x+3cos²x=0 |

22321●√6

22322●1 |sin(2π–α)tg(π/2+α)ctg(3π/2–α)/cos(2π+α)tg(π+α)|

223220●–arctg1/2+πn;–arctg2+πk;n,k*Z

2232210●(–∞;–2)U(–1;∞)–{0}

223222●mn/m+n |m²–n²/m–n–m³–n³/m²–n²|

223222334●(3;4),(4;3)

223223●tg2α

22322322●a+3b/a–2b

22323●(m–n)(2m+3)

2232322226●(2;1)(-2;-1)

223242523●–9/4.

2232431661222●2,5.

22328●(5;–3),(3;–5)

2233●1 |b(a²–ab+b²)/a³+b³+a/a+b|

2233●2 ñì. (2√2/3 ñì³.Íàéäèòå åãî ðåáðî)

2233●2πk, kÝZ {2tg² x+3=3/cosx

2233●5sin²x•cos³x

22331●à+1/a(a–b)

22331721●0,7.

22332●4a4b2/9m2n6

223322●mn/m+n.

223322●xy/x+y

223340●–π/4+πn,n*Z

22331●à+1/à(à-b)

22331721●0,7

223322●mn/m+n

223322●õó/õ+ó

223222334●(3;4),(4;3)

2233232●4

22333●7

223335●–6;5

223340●–π/4+πn, n*Z

Åí êèøè)

2234●12/7. |sinαcosα/sin²α–cos²α, ctgα=3/4.|

22340403034●174

22343202●9

2234●12π

2234●(–2;–1)

2234●(–∞;1)u(2;+∞)

2234●(0;1]

2234●[0; 1] | 2log√2x+3x≤4 |

2234●12/7

22340●π/6(2k+1),k*Z;2πn,n*Z

22340403034●174

2234194●16/63

22343202●9.

223436●–0,5

22345334●(xy+z)(xy+3x3y4–1).

22348922905●(4;–1)

2235●–4/7

223502222●5/2

22352300110130●1<õ<2

2235230011013●1;2

22356323187●(1; 2)

2236●1/2 | (cos2α+π/2)tg(α+π/3), α=–π/6 |

2236●x>3

22362●±3

22362235●(1;3)

223633●–4cos x/2+1/2sin6x+3√3

2237213●(–4; 1).

2238●4, 5

2239600●(0; 1/7)

224●–1/2 |loga2b=logb2a,a≠0 loga+logb/log4|

224●2. {(tgα+ctgα)²-2 ïðè α=–π/4

224●(0;–1),(4;3) |y=x+2/x–2, ðàâíûé–π/4|

224●[1/4; ¾]

224●2 |(tgα+ctgα)²–2,α=π/4|

224●2+√2/2; {f(õ)=2sin2x+cosx f(π/4)

224●–2<a<2 (x²+y²=4 è ó=à)

2240●c<2

2240●(4;∞). {log2x+|log2x|–4>0

2240●0; 8

2240●–2; 0

2240●(–∞; ∞) | 2 ∫ õ (2t–4) dt≤0|

2240124142●–16

22402330●x>3

2241●(–∞;3] |f(x)=–2x²+4x+1.|

2241●(0; 4)

2241●π/4(2k+1),k*Z;πn;n*Z

22410●2π/3+2πn,n*Z

22410243●(-∞;–7)U(-1; 1)U(3; ∞)

22410620●–20

224113311●–1

2241229●(±5;±4) |{õ²+ó²=41 ó²–õ²=–9|

22413●4.

22413814●4;1/4

22416●14.

Ñì

2242●3

22420●4

224220●(√2;-√2);(-√2;√2);(-√2;-√2);(√2;√2).

22421●1+√5; 1–√5 |x²–2x=4 ∫ 2(y–1)dy|

224212●6 |y=x²+2x+4, x=–2, x=1, y=2|

224214●6

22422●–2a+x/ax

22422●x+2/x–2 |x²/(x–2)²–4/(2–x)²|

224220●(√2;–√2);(–√2;√2);(–√2;–√2);(√2;√2)

22422102●5.

224222424●tg4α

X

22423●18

22424●π/4(4k+1)

Ãðàäóñ

22424224224●2–√3.

224244●8a³+8

2243●12/7

2243●(2; 6] |log2(2x–4)≤3|

2243●2(√2+43)(√3+2)

22432●2

22432●3 | logx(2x²–4x+3)=2 |

2243212●–5

22432122●–1/3.

2243218●{–1;5}

224323223●–1,1/3

22434●6

Ñì (Äëèíà õîðäû ÌÊ)

224382220●(–∞;–2)

224418●4

224422●a+1/a²+b²

224423●5.

224448881●4

224488412●1

224492●0

Îáúåì ïèðàìèäû)

2245●2.

22452303●–√2tga |√2cosα–2cos(45°–α)/2sin(30°+α)–√3sinα|

22452303●√2tgα

2245334●(xy+z)(xy+3x³y-1)

22455●(4;1)(1;4)

2246120●1

 âòîðîé

22480●6;–8.

22480●–8; 6

224920●(–∞;+∞)

225●[–6;–4]

225●–4–5x |(x–2)(x+2)–x(x+5)|

225●Îäíà ñòîðîíà ðàâíà 4√2 ñì

225●m=±√10

225●1 |tg225º|

225●π/3n,n*Z; π/4(2πn+1),n*Z |sin2x cos2x=sin5x|

225●5 A(2; –2; –5)

225●–8 |x–2|–2x=5

2250●–4<m<4

225010●(0;5]

225012●(0;5]

2251●(2;5)–{3} |f(x)=2logx–2(5–x)+lg(x+1)|

22510●(0;5]

225100●(–10;–5]U[5;∞) |x²–25/x+10≥0|

225100●(–10;–5]U[5;100)

225101250●(–5;1)

22510510510510●4

2251418●70

22515●1/4.

Ñïðàâà îò À è Â

Ñì,12 ñì.

2252●0,3

2252●(–5; 5)

2252●1/5(2õ+5)5+Ñ

22520●2π/3+2πn≤x≤4π/3+2πn,n*z

22520●(–∞;-2)U(1,5/2)

225202110●0

225200011032●1;–3

225200011032●–3;1

22521●5/2

22521031032●–3;1

225212211020102310●2 1/2

22521255●(3,5;0,3)

2252245●20

225225●1/2

225225150●24

225230●(–5/2;–3/2)U[0; 2]

22523002●2250π ñì³ (îáúåì öèëèíäð)

22523533523●0

Òûñ òã

Ñì (Îïð áîëüøóþ ñòîðîíó)

Ordm;

22529016510560340●√2.

2253●14 (3 è 5–ãî ÷ëåíîâ ýò ïðîãð)

2253●íåò êîðíåé |√õ²–2õ+5=õ–3|

2253●14.

2253●2πn; n*z |2cos²x–5cosx=–3|

22530●{–1; –3/2; 1; 3/2}

225303132●–26,875

22530121212●–4

22531042352105●100.

2253222232●118

225325●3

22537452597●õ=3

225330240300●3/4√6

2254●1/5(2x+5)5+C.

A32

2254●π |y=2 sin2x–x5. cos4x?|

Òûñ òã

Òûñ òã, 90òûñ òã

Òåíãå

225423●104 ñì² (Îïð ïëîù ïðÿìîóã–êà)

225431●2.

2255●x=sin5x+c

2255●x=2πn; n*Z

22550●sin²25º |cos²25º–cos50|

225523●–120/169

2256●–3;5

22564293●1

22570●–1; 3,5

225735●65

22580●2

225820●(2y–5)(y–2)(y+2)

22583●(-5;2)

2259852●2xny5n(x–7y)(x+7y)

226●4 (A(x:-2) y=2x+6 Íàéäèòå åå àáñöèññó)

226●1/2 |cos²α–sin²α, α=π/6|

Äëèíà êàòåòà)

226●õ=1.

Ordm;

2260●√3(√3+1)à²

Ñì (íàéä ìåíüøè êàòåò)

2260150150●1

226051621●[1;5]

2262●6

2262223233●1/2,1

2262080●(-6;-2);(-4;-4)

226280●3.

22632●2

22642150●(-∞;-8]U[-2;8]

22642322●(–∞;–2)U(–1;0]

2265320●7

2265350●4

2266●(4;4)

22681●(2;3)U(4;+∞)

22682244●(7; 3);(7;–4); (–8; 3); (–8; –4).

22682268●1

Lognm

Ñì

227●[7;9]

227●41/49. {cos(2arcsin(2/7)

2270●π/2+πk,k*Z | 2cos²x–7cosx=0 |

2271●0;7 {√2x2–7x=1

2271251533●1

A

2272539●6√2+25.

2273●õ=8/7.

22730●–7π/6+2πk<x<π/6+2πk,k*Z

227325●16.

2273271●9; 1/27.

2274●2(x-1/2)(x+4)

22743●q=±1/3.

2274787●1/4

22750●2,5;1

Äà,(75è57)

22794●2

228●a) -2;4 b)[1;∞) c)(-∞;1]

2281●(–∞;7 ] |ó=–2õ²+8õ–1|

22812●(õ+3)(õ+2) (õ-1)(õ-2)

228150●(4–√2; 3)U(4+√2;∞)

2281589823715797●1.

2282●[8;∞)

228200025●–0,05

228210518●4.

2282120●–2;–1;2;3

2282215●(23;11),(7;27) |√õ+2+√ó–2=8, √õ+2·√ó–2=15|

2282281●(–1)n π/8+πn/2,n*Z

22824152●(à+2)2;(à²+6à+4)

2284●(x–4)(2ax+b)

228442●(õ–4)(õ+2).

2286212922●x–y/4y

22872222●16

229●2;3

229●2)ôóíêö (–∞;–2] êåìèìåëè; 3)õ=–5; ó=0

2290225092●2;3

229045●2 (ðàä îêð îïèñ îêîëî ýò ∆)

2291●(5;4).

2291●(–∞;+∞) |õ²–ó²=9 õ–ó=1|

Åí óëåêíè a)10 åí êèøè á)0.

22915898●–1

22916●±5 |2√õ²–9=16|

È (0;3)

22980●7;–7

23●âîçð (–∞;0), óáûâ(0;∞) (ó=õ –2/3)

23●k=–2, b–ëþáîå ÷èñëî |y=kx+b,y=–2x+3|

23●–8 |sin2α, sinα–cosα=3|

23●1 |ðàäèóñ âïèñ îêð|

Íàéòè ðàäèóñ ýòîé îêðóæíîñòè)

23●1/2e2x-1/3sin3x+C

× (ðàá âìåòñå)

23●(-∞;+∞)

23●18π ì³ (Îïðåäåëèòü îáúåì)

23●(–∞;+∞) |ó=2õ+3|

23●(11; +∞) |√õ–2>3|

23●(–∞;0] | y=√2x–3x|

23●[–1;5] |y=2–3sinx|

23●[1; 5] (Íàéä íàéá è íàéì |2–3cosα|)

23●2cos2x–3sin3x (f(x)=sin2x+cos3x)

23●2ctg3x |f(x)=ln(sin²3x),f(x)|

X ln2

23●õ=0,5x+1,5 |ó=2õ–3|

23●2/2x+3 |y=ln(2x+3)|

×

23●1

23●108 log2(lgx)=3

23●30

23●4 |ó=2+cos(x+π/3)|

23●4,5 (Âû÷ ïëîù ôèãóðû |y=x², y=3x|

23●–1/2 |sinα/2,α=–π/3|

23●–1/2

23●–2/3. |sin(π+arcsin 2/3).|

23●–3

23●–3. |ctg(π/2+arctg 3).|

23●3sin6x | sin²3x |

23●3õ²(åõ³+1) |ó(õ)=åõ²+õ³ |

23●–2sin(2x+3) f(x)=cos(2x+3)

23●2sinx+3cosx+C f(x)=2cosx–3sinx

23●–2cosx+3sinx+c f(x)=2sinx+3cosx

23●2xsin3x+3x²cos3x |f(x)=x²•sin3x|

23●[0;+∞) |y=2ex+ax–3|

23●3/8

Îòíîø èõ ïëîùàäåé)

23●8à3-12à2â+6àâ2-â3. 23●x>=0,õ íåðàâíî √3 23●xmin=1 | f(x)=x²–3x+xlnx |

23●–1

23●√5/3 {sin(arcos(2/3))

23●–1 |2 – 3cos α|

Øåíáåð ðàäèóñ)

23●–1/3; 0; 1/3 |àn=n–2/3|

23●1/xIn3. f(x)=log3 2x,f(x)

Îáúåì ïðèçìû)

23●–2,25

23●2/2õ+3

23●18 (êөëåì³í òàáûíûçҚ

23●18π ì²

23●18π ì³ (Îïð îáúåì)

23●–2/x²

23●(–2; 1) |à{m.m+2} ìåíüøå 3 äë âñ çíà÷ m|

23●2π/3+2πn; n*Z ( tg x/2=√3 )

23●3 (<AOC=2, <ABC ao=oc=3)

23●–3·2–3õ·ln2 {f(x)=2–3x

Ì íóêò ÀÑ êàáûð äåéí êàøûê)

23●3y²

Íàéòè 5 ÷ëåí ïðîãð)

Ìåòð

23●√6+√2/2 |√2+√3=?|

23●3π/2n,n*Z {|f(x)=tg2x/3|

23●3/7x²•³√x+3/2x•³√x+C | y(x)=(x+2)•³√x |

23●5, 11, 29, 83 |xn=2+3n|

23●√5/3 |sin(arccos 2/3)|

23●5; 7; 9. |an=2n+3|

23●15 ( an-2n–3, 5 ìóøå êîñûíäûñû )

23●6ñì (áîëüø ñòîð ïðÿì–êà)

23●6;3 | √õ–2=õ/3 |

23●9

23●9 /lgx=2lg3/

23●x/2-sin6x/12+C

23●x≥0,x≠√3 |y=√x/x²–3|

23●x≥0 x≠√3

23●Ïàðà /ó=√õ2+3|õ|/

23●π /y=sin(2x-π/3)/

23●Óíèâåðñàëíàÿ ïîäñò tg x/2=t

23●u=x³ | ∫x² e x³ dx|

23●9 ( 2|x–y|+|y–x|, åñëè õ–3=ó )

23●a*(–π/2;0)U(π/2;π) |a*(–π;π) sinα+cosα=2/3|

23●íåò ðåøåíèÿ (2õ=–3, òîãäà íàéòè õ)

230●0 | f(x)=tg²3x. Íàéäèòå f(0) |

230●0,5

230●–1 (2x–y–3)a+(x+y)b=0

230●π/2(2k+1),k*Z; π/4(2n+1),n*Z |sinx sin2x+cos3x=0|

230●(–2;3)

230●π/2n,n*Z;(-1) k-1 π/6+πk,k*Z

Ïëîù ðîìáà)

Îïð ìåíüø óãîë òðàïåöèè)

Ïëîù êðóãà,âïèñàí â ðîìá)

Ñì (Íàéäèòå äëèíó áèññåêòð AD)

230●(–∞; 0) U (1; ∞) |õ² ∫ õ 3dt>0| 230●±5π/6+2πn, n*Z |2cosx+√3=0| 230●πn,n*Z ±5π/6+2πk,k*Z |sin2x+√3 sinx=0|

Ðîìá)

230●(–1)n+1 π/3+πn,n*Z | 2sinx +√3=0 |

230●x=2

230●π/3n,n*Z /2 tg3x=0/

2300●30

Òåíãå

Àóäàíû íåøåãå òåí)

23003060●2 |2sin30º•cos0º/tg30º•sin60º|

230041212●4,008

Ñì

23018●–3.

230205●6,25

230211●[2; 3) |{ln(2x–3)≥0 lg(x²+1)<1|

23022●±π/6

2303604530●2–√3/2

23045●2√3-2,√6-√2.

2305●–1

23050●x>2

23060●90°(2k+1),k*Z

23060●–90;90

231●x>1 log(2x+3)>log(x–1)

231●–π/6+πk,ê*Z |cos(2x+π/3)=1|

231●(0;∞). |(2,3)x>1|

231●3;-1 õ/2õ+3=1/õ

231●[–3;1) |õ²+3/õ–1≤õ|

231●2 logx(x²–x–3)=1

231●{2;1} { |2õ–3|=1

231●[–3,25;+∞) |y=x²+3x–1|

231●3/8. |f(x)=x/√x²+3, f(1)|

231●x=arctg9+πê,k*Z

231●–1,3

231●2x+3 |y=x²+3x–1|

231●Ǿ |õ²–3õ+1=–õ|

231●(–∞;2] |ó=2–√3õ+1|

231●x=1/3 |õ²–3õ+1=õ|

Ê.

231●6ln(3x+1)/ 3x+1

231●–2/3sin(2/3x–1) /f(x)=cos(2x/3–1)/

2310●±2π/9+2π/3n,n*Z /2cos3x+1=0/

2310●(-1)n π/18+πn/3; n*Z ( 2sin 3x–1=0 )

2310●–18

2310●(–∞;–6,5)U(3,5; +∞) | |2õ+3|>10 |

2310●[–3;–2]U(1;∞) |–(õ+2)(õ+3)/õ–1≤0|

Ïðîñòûå äåë)

231011232●2√2.

231020●1; 2

À)0; á)-6

2310210●[-5; 2]

231022103●2,032

23102321●(4; 8)

2311●3x–1/3√x-1

2311●{–1;3}

231112●(–1;2;3)

23112●–6

231121●1

23113082833426133●5

2311322●3√14

231135●(–2;–3)

231162120●(–3; 1 2/3]

23118●x<1,4.

23118561517081332413●3/2

23119353●2

23119355●2

Ñì, 6ñì (äèàã ðîìáà)

2312●9y-x-14=0

2312●(–1)k π/12+π/6+kπ/2,k*Z

2312023●–22

23120●9π ñì²

Îñíîâ êîíóñà)

2312023●–22

Xy

231219195412..●–14

23122●–24 |g(x)=(2x+3)12.Íàéäèòå g(–2)|

Ñì; 6ñì

231223●õ>1/3

23122318●3

Êì. (äëèíà ïóòè)

Ñì; 6ñì

23123218●õ=2, ó=1.

2312329●(4;1) |ó=2/3õ–1 2/3 è ó=–2õ+9|

23123556320●22

23124421●3

231248●4m+n/2m+n

23125●õ+1 |2 ·(3õ+1/2)–5õ|

2312680224121●(2;6)

2312746●86

2313●144/25 √3/5; 0.

2313●16 ¾+5√3

2313●(1/3;3)

23131●y=–1

231315●3/4

2313161815170●9

2313191954126275016●–14.

Lg3

231321●1

23133573●13.

2313413●x=5;y=6

23135●–3√2.

2314●π(3ê+-1),ê*Z

231411●(4;0).

231420●–1/2

2314324280●–7; 7

23144●π/2n,n*Z;π/8(2k+1),k*Z

231420●–1/2.

23144025●4

231492313429231●ñ→å→

23149513●3

2315●–5

23150●39

23150●–162

2315115●(3;5),(5;3).

23152933●0.

231557158035●4000.

23157●1 (Ê–íû òàáûíûç)

2316●48

Ln16

231621●(5;-2)

2316232●(1/2;4)

23162321●(4;8)

23163431232●2/9

231644053●4 ã/ñì³

23166●188

23169●1014 (îáúåì ïàðàë–äà)

23171●6 |√x–2–√3x–17=1|

231722315●(3; 2)

23172317●tg9α

2318●4

2318●12 ( |ÀÑ|:|ÀÂ|=2:3, ÑÑ1=8 )

2318108●3m+2n/2m+n

2318421893●n=5

231842360●–5;2

231842360●2 /Áîëüøèé êîðåíü/

232●a+3b/2a+b

232●17 /2mn+m+n, m=3, n=2/

232●1. /cos π/2–sin 3π/2/

232●–1<x<3 |x²–3<2x|

232●0; 5. |ó=√õ²–3õ–√2õ|

232●(1; 0)

232●1/4 √õ+√õ+2=3/√õ+2

232●1,5 /y=x²–3x+2/

232●1*1/3

232●(-1)n π/6+πn; π/2+2πk;n,k*Z |cos2x+3sinx=2|

232●(-1)ê π/6+π/2ê

232●1/6sin6x+C

232●2–6x/cos²(2x–3x²)

232●³√4

232●4õ²+12õ+9 |(2õ+3)²|

232●x4+6x²y+9y² | (x²+3y)² |

232●–5π/12+2πn<x<13π/12+2πn |2cos(x–π/3)>–√2|

232●60; 120.

232●64, 512

232●4x²+12x+9 /(2x+3)²/

Íå÷åòíàÿ

232●1 1/3 |y=–x²+3, y=2.|

232●(x–1)(x–2) |x²–3x+2|

232●a+3b/2a+b.

Ñ

2320●arctg 0,5+n;–arctg2+k

2320●[0;3,2]

Åí óëêåí)

2320●πn n*Z;±arccos(-1/3)

2320●πn,n*Z ±arccos(–1/3)+2πk,k*Z |2sinx+3sin2x=0|

È(0;3)

2320●–1/x²+2lnx+C

2320064503812120217196●0

A6

23205●π/2ê,k*Z

2321●(1;3)

2321●πn,n*Z |tg²3x=cos2x–1|

2321●π |y=2+cos³(2x+1)|

23210●X=±π/3+2πk, K*Z

23210●2π/5n,n*Z

23210●–x√y

232101●–1/15

232103●30;–2

23211●1 |f(x)=√x²+3+2x/(x+1),f(1)|

23212●8 |2(x–3)²+1=x–2|

23212●S={2}

2321202●4.

2321223●õ>–8 |2õ+3/2>õ–1/2+õ+2/3|

232122●–2π/3. |2•arcsin(–√3/2)arctg(–1)+arccos(√2/2)|

232122●–2/3

2321232117●1,5

23212424●2

23213●õ–3

2321316●5

232133165●2

Íåò ðåøåíèÿ

2321417●êîðíåé íåò |2õ–3+2(õ–1)=4(õ–1)–7|

232142●1.

2321454●1; 2 1/3

23216●3 |õ²–3õ–2|=16

2321636●(–∞, 1,5)U(1,5; ∞)

Cosà

2322●4/3

2322●x²–6x-4/3x(x–2) |x+2/3x–2/x–2|

2322●(0; 1) |log2(3–2x)>log2x|

23220●–π/4+πn<x<arctg2+2πn

23220●π/4+πn<x< arctg2+πn; n*Z

23220●(–1)k π/4+kπ,k*Z

232202●5π/24

23221●20

23221●(1; 0); (–1;0)

23221●(3; 4]

23222●1 log2(x–3)+log22<2

23222●(–5;+∞) |à→=(2;3;2) b→=(2;2;α)|

23222●(–∞;-5)

Àõó

23222●5π/24

23222●7

23222●1/a |(a–b)²/a³–2a²b+ab²|

232221614●50.

2322222●à |(a²/a+b–a³/a²+2ab+b²):(a/a+b–a²/(a+b)²|

23222225●(–2;–1),(2;7) |ó=2õ+3 è (õ–2)²+(ó+2)²=25|

2322223●6/19.

23222322●10.

2322264●(4;2)

23223●1/32.

23223●3 2 3log 2√2 √3

2322312●x>–8

2322313●3

232231664110●24 3/4

2322320●2/3πn(-1)k π/3+2πê

232232222313●(1;2)

232234●±2

232234●1 | (√2–√3)²+(√2+√3)õ=4 |

23223535●2

232238●–1,7

A

232240●(13;∞)

X

232242323●0 |√x²+32–24√x²+32=3|

232243●x<11

232247●6

2323●2x–3/2x²+5 |f(x)=2–3x M(2; 3)|

2323●1 |sin²3x+cos²3x|

2323●1/6sin6x+Ñ

2323●–6

2323●–12/13. |sin(2α+3π), tgα=2/3.|

N

2323●x |2x/x+3 è 2+à/õ+3|

2323●√6 √2+√3+√2–√3

2323●√6 √2–√3+√2+√3

2323●kπ; (–1)k arcsin 1/3+kπ

23230●–π/2+2πn, n*Z |sin²3x+sinx+cos²3x=0|

23230●π/4+πn<x<arctg2+πn,n*Z

|sin²x–3sinxcosx+2cos²x<0|

23230●πn,n*Z (-1)k arcsin1/3+πk,k*Z

232305●[π+3πê; 2π+3πê]

23231●1; 33

K

232312●√6;√6

232312●–√6;√6 |õ²+3+√õ²+3=12|

23232●6.

23232●3/2

23232●–4/3 (sinx+sin2x+sin3x/cosx+cos2x+cos3x, tgx=2)

2323211●(5; 13)

2323221●π

23232230●π/3k,k*Z,π/6+2π/3n,n*Z

|2sin(3x/2)cos(3x/2)–sin²3x=0|

À

23232323●2√3

2323232323●1/9

232323443●bc+a/a²b²

Õ

232328●24

23233●[–2π/9+2πn/3;–π/9+2πn/3],n*z

232331011●2√2.

232332●a²–9b²

232332212●3+√5

232332222313●(1;2)

2323322●–1

232341312●3x²+8x²–6x–5.

2323433●(13/14;–1/7)

2323490●147°

2323511●–413.

232355●–1; 4.

Âåêòîðû)

2324●1 |2–õ+3√2–õ=4|

2324●(1;5);(–3;–3) |ó=2õ+3 ñ ïàðàáîë ó=õ²+4õ|

23240●m<–4

232410●(1;–5);(–7;11) |ó=–2õ–3 ñ ïàðàáîë ó=õ²+4õ–10|

232412●–1<x<0

232412●(–1;0) | (õ²+õ+3)(õ²+õ+4)<12 |

232415●1,5

23242●28 (Îïð ñêîð òî÷êè â ìîìåíò âðåì=2)

Ñì; 6ñì

23242320●1

23242332●[–3; 2] |(2/3)x²+4x≥(2/3)3(x+2)|

23242334●(–∞;–1)U(4;+∞)

23242324●6√2

23242354●(3; 1)

23244●104ñì/ñ

K,

23246432281●6

23248●1/2

2325●(4;–3)(1/4; 3 3/4)

Åí óëêåí )

232510●[–3;–2]U(1;∞)

23251879●–1/18

23252●(–∞; –0,05)

2325314363●2

23253400●9

2326●–6;1. |õ²+3õ|=|2õ–6|

232631●2x/(1-3a)(x+2)

232652●–1/(a+b)²

2327●1 1/6

232716271127●18/27 (23/27–16/27)+11/27

2328●(2;2);(–2/3; –2).

23280●10

23281●a)–40 b)–3 íàéì, íàéá

233●1/3 |sin α/2=√3/3, cosα|

233●à |à2/3•³√à|

233●cosα |2cos(π/3–α)–√3sinα|

233●{0;1}

K

233●íåò ðåøåíèé |2cos3x>3|

233●1;–2 |√2–x+√x+3=3|

233●2 f(x)=logx2(3–x/3+x)

233●2 {y=–2/3x+3

233●2√3+3

233●cosα {2cos(π/3-α)-√3sinα

233●4ã/ñì³

233●(2;–1)

233●1. |π/2 ∫ –π/3 (cosx–√3sinx)dx|

233●x²+6x–6/(x+3)²

233●cos6 | 2cos(π/3–x)–√3sinx |

2330●{0;1}

2330●1/√3 ñì³

È 12

2330●2 |tg2α•ctgα–sin3α, ïðè α=30º|

233010●60êì/÷, 40êì/÷.

23301812●23

2330223●π/2

233060●1,5 dm³

2331●5/8

23310●õ*(–∞;0)U(3;+∞).

233113229●(–2;5);(5;–2).

2331351315●³√x/5

X

2332●√π/π+2

23320●(–3;2](2;3]

23320●3√2/2 |à ∫ –à (õ²–3õ–3/2)dx=0|

23321●2/5

233210●(–∞;–1)U[2;3]

233212●(–∞;–1]U[2;∞)

233212222●(1; 0);(–1;0);(1; 1);(–1;–1).

23321223324●(1;2)

2332138●2

23322124410●(5;4)

233222●1

23322212●√4/3

2332231●(–1;1)

23323●π/9 (3k±1),k*Z

233232..●115•1/2è-3/2

233233234●0

2332382●(3; 3)

233239●(3;–1)

23324●xmax=0, xmin=1 |f(x)=2x³–3x²+4|

2332501●0

23326●xmin=1; xmax=0

23326●10 | âû÷ (–2)•3³+(–2)6|

233266●3(x²–x+1)/√2x³–3x²+6x–6

2332622●36;12

23326612●0≤x≤1

2333●(à+â/â)2

2333123337●–7

233221210●(5;4)

233382●(3;3)

2334●(1;2)

233412●(2/3; 1/3)

233412●4√2

23342245●(6; 8)

233432●30

23344000●a–b+c

23344512334●–9/5

233451151389336526991812137918505●9

2335●√29

233502350●(–∞;–5/3)

233510●[–3,–2]U(1,∞) {(x+2)³(x+3)5/1–x≤0

23355072●2a+3/2ab+1

2336●4

2336●õ=4

233611815●–2 1/3.

23362●81 ñì² (ïëîù ∆ OPM)

233634●2

Íàéäèòå S7)

233729●2

23373512●9;3.

2337511●1; 7

23375118●1;7

23378511●1;7

233795●{21;–29}

2338●119º (áîëüø óãîë ïàðàë–ìà)

2338●{2;4} |ó²–3ó=3ó–8|

23380●a=32/3,a=–32/3

234●2.6√2

234●–√2 –√3+4

234●(1;1); (1;–1)

234●(1;1); (1;–2) | {x+|y|=2 3x+|y|=4 |

234●–1;4

×åìó ðàâíî ðåáðî ðàâíîâåëèê ïðèçìå êóáå)

234●9

234●2√2

234●(-∞;–1/2)U(7/2;+∞)

234●3 (ïðè à=–2, â=–3, ñ=–4)

234●x<y<z

2340●(–1;0]U(4;+∞) | õ/x²–3x–4≥0 |

2340●íåò ðåøåíèé |–x²+3x–4>0.|

2340●(–4;1) |õ²+3õ–4<0|

2340●(0;1/9)U(9;+∞) |log3 2x–4>0|

2340●64

Ordm;

23411●2,5.

23411●49–1

2341111●3

23411225.. ●3

2341131250431351●7

234113132504313●7.

23411313●5 5/6

23412430●[–2/3; 8]

234132●1/2

234141234●4/9

23415●–1/4.

234196●–1;5

234198●(–2:6)

2342●–5/6

2342●5/6 |(2π/3–π/4):π/2|

2342●–3 |g(–π/2), g(x)=(3x–4)cos2x|

2342●3 | eln(x²–3x+4)=2 |

2342●y³/2ab

Îïð êîñ óãëà ìåæ âåêòð)

2342●(–3;2) |ó=√(õ–2)(õ+3)/(õ–4)²|

2342●4õ2+9ó2+16z2–12õó+16õz–24óz.

23420●–1/2 (log2x+34)–2=0

23420●135

23420225●(0;–5),(1;–4)

Äëèíà âåêòîðà)

23422●±π/3+πn,n*Z

2342211813419●(0;2)U(6;∞)

2342221●2

234222323423120●0;–1,5

2342226●116

2342275●12p q³

2342322●3

234234●4 |√x²–3x/4≥x²–3x/4|

234234●–5/2

234234●2 1/2 2/3/4–2/3/4=?

234234●–1/√5 |ctg2x=3/4 è π/2<x<3π/4|

234234●tg3x ( sin2x–sin3x+sin4/cos2x–cos3x–cos4x )

23423433–6

2342393239●9x³

234253236●4

2342693239●9x³

23428160●{2}

234284●219

2343●–1/3(3x-4)²+C

23430●(–1)n 4π/9+4πn/3;n*Z

23432●π/4+πk,ê*Z.

234381●(–5; 2)

2343943●(3; 4)

23444●x=1

23444●x=–4

23444●{1}

2344441●π/2+πn,±π/6+πn,n*Z

234481●(–5;2)

2345●[–0,5; 1,25] |–2≤3–4x≤5|

2345●(–1;1) {√ó=√2õ+3, ñ îñüþ ÎÕ óã 45°

Ïëîù ïàðàë)

2345●5√5

23451●2

234510037●–445,97.

234534001●–2

2346●54ñì² (áîê ïîâ ïðèçìû)

23461●0,8

234623202●3.

23464●2√3

Êîñèíóñ óãëà Ì)

X-4y)(x-1)

2347●1 1/6

234815●p–k+1/4k+p

Ñì (áîëüøàÿ äèàãîíàëü)

Ñì (ìåíüøàÿ äèàãîíàëü)

234827●1;7

235●//////-1xxxx4////

235●\–1xxxxxo4/////x→ |2x-3|<5

235●0,96 |sin(2arccos 3/5)|

235●–1

235●(–1;4) |2õ–3<5|

235●7/25. |cos2α, åñëè sinα=3/5.|

B7

Ì; 6ì.

235●π/3n,n*Z;π/4(2k+1),k

235●±π/3+2πn,n*Z (–1)n π/4+πn,n*Z

235●2π/3n,n*Z π/4(4n+1),n*Z |cosx=2sin3x+cos5x|

2350●(–5; 1,5)

2350●πn/3, π/4(2k+1),k,n*Z |sin2xcos3x–sin5x=0|

X

23512●5/3

23512●2 |√õ²+35=√12õ|

235122●(2;0)

235141559●x=1*9/6

235170●(–∞;6)

235172551●(–4;2)U(3;+∞)

Ñì

2352●1/2

2352●1/2 {tg(a–b)=2,sinb=3/5,π/2<b<π

2352●–4/7 {2sinα+3cosα/5sinα–cosα, ctgα=–2

2352●1/16;2 |log(log²x–3logx+5)=2|

2352●ó=2õ+3/5õ–2 |ó=õ²–6õ+11|

U(0;3)

23521032●140.

23522322253●0

2352235253●–4√2

2352311●1,2

235237●–1;4.

235243●õmax=–2; xmin=1/3

23526●tgα=19.

2353●–12. {y=2/3x+5 ðàâíî–3.

2353●(7;2)

2353●–5/3

23532●2(³√25+³√10+³√4)/3

2353762146●3,2.

23540●3.

235417●4√17,2,³√5

23542560●9

23553501●–2

23562●2

235731●(0;–1),(1;0)

235731●(–1;2)(–6;13 2/3) |{õ²–3ó=–5 7õ+3ó=–1|

2356100●61

23581●–1

23581●1 (b2=3, b5=81 áèðèíøè ìóøå)

2358408●8a/(a-5)(x+8)

235925●5/3

236●12

Ãðàìì

236●x>3 √x–2x>√3x–6

236●õ<–9 |–2/3õ–6|

Ñì (Íàéäèòå äëèíó äèàãîíàëè)

Ñì (äèàãîíàëü)

236●(–1,5; 4,5) |2õ–3|<6

236●2 |√õ–2=√3õ–6|

236●3π3/4

236●6

Ñì.

Ã. (Íàéäèòå ìàññó ñåðåáðà)

2360●100√2 ñì²

2360●2/3(sin3x–1)

2360●24 ñì³ (Íàéäèòå îáúåì ïèðàìèäû)

2360●18cm³

2360●3√3/2

2360●48π

2360●V=24

2360●2 |tgα•ctg α/2+cos3α, ïðè α=60º|

23601212●1/2

23612●x/√x²–36

Ëþáîå ÷èñëî.

Íåò ðåøåíèè

236142●4; 2

23615●x–36/x–5

2362185●xmin=3, xmax=–1

236235●(1;1)(log2³;log3²)

236245●(4;5),(–4;–5)

23630●–1,5; 2

2363180●11/21.

236333●–2

23651418212..●5.

2365141821258003108256275285●5

236515●1,7.

23652271356●6

23656●15 |2õ/36=5/6|

236602●8;12

23672●0; 1,5; 2

23682●1564ñì³ (îáúåì ïàðàë–äà)

236881●3a–4b/a+b

237●[–2;5]

237●–2 {x–y–z, x=2,y=3,z=7

237●(–∞; 3) {2–3õ>–7

237●d=7.

23711●27.

Log62

23721524●–0,3

23723072●√30<2/3√72<7√2 (îñó ðåòè)

237239●(3;0)

23730●72

237310●π/6+2πn/3,n*Z

2375182●m=3,6;n=–4

2376●–2 | –2sin(37π/6) |

2376●–2. |cos π–2sin 37π/6|

2378561517634221413●3/2.

2379●24

238●4; 5.

2380●8 |(õ–2)(õ+3)√õ–8=0|

238102●0;1;4.

23812●3

23814●1/2

23816●–38.

2382224●–2/m²+2m+4

23824●0,5

X

2383●a(a²–6ab+12b²)

2383●(a–2b)(a²–6ab+12b²)

238451151389336526991812137918505●9.

238548●1/7

23880●(–1)ê π/3+πê,k*Z

2392●0;3

2392128●xmin=2; xmax=1

2392241●x=–4 è x=1

2392381●õ=9.

2392381●±1; ±1/9

2393613●c–3a–2b

2395●(11/7;∞) |2(õ+3)|<9x–5

24●0; √8 |f(x)=x/2–4/x|

Êã ìåäè,7êã öèíê

24●õ=3ì

24●–1 |sin(π+α)/sin(π/2+α),α=π/4|

B òîáåñèíåí óøáóðóø ìåäèàí)

24●–2√2; 2√2 { f(x)=x/2–4/x

24●√2 |π ∫ π/2sin(x–π/4)dx|

24●2/11 |tg(CAE),åñëè 2|ÂÑ|=|ÀÂ|=4|ÑÅ|,à ABCD ïðÿì|

24●70 (10–òè åå 1–ûõ ÷ëåíîâ)

24●–ctg(4+x)+C ∫dx/sin²(4+x)

24●(0;–4) |ó=õ²–4|

24●4y² (x²–4xy+k)

Ì

24●64π ñì² (ïëîù êðóãà âïèñ â ∆)

24●9 {2≤x≤4

24●(25;+∞)

24●(–∞;–2)

24●(–∞;–2) èëè (2;∞) |f(x)=lg(x²–4)|

24●[2;3] | y=2+|cos4x| |

24●[2;+∞) | y=2+4√x |

24●–15/8 |ctg2α, åñëè tgα=4|

Íàéä áîêîâ ðåáðî)

24●14

Äåëèòåëåé èìååò ÷èñëî)

Ì (øèðèíà êëóìáà)

24●24äì (ïåðèì ïðÿì–êà, åñëè ïåðïåíäèê)

Ïëîù åãî áîêîâîé ïîâåðõí)

Áîêîâàÿ ïîâåðõí)

Ñì

24●24√3 ñì². (ïëîùàäü)

24●x²(1–x)(1+x) |x²–x4|

24●x³/3–2x²+C |x²–4x|

Ì. (íàéäèòå äëèíó äèàãîíàëè)

24●(√28)

24●(3;7] |√õ+2=õ–4|

24●[0; ∞) |ó=√2õ–4|

Ñì (Íàéäèòå áîêîâîå ðåáðî)

24●–2π2; 2π2.

Ñì

24●sin α |√2sin(π/4+α)–cosα|

24●(–1;0) {ó²=–4õ

24●256π ñì² (ïëîù êðóã îïèñ îê ýò ∆)

24●288 ñì² {ïëîù

24●288 ñì²

24●ó≥0 ó=(õ–2)4

24●×åòíàÿ ( ó=õ²/õ4+|õ| )

24●(x–2)•(x+2)

24●–arctg2 | y=ctg2x x=–π/4 |

240●(0; 1) |õ² ∫ õ 4dt<0|

240●–2;–4 |(x+2)(x+4)=0|

240●240=2•2•2•2•3•5

Ê

240●20%

Óøáóðûø Ñ áóðûøû)

240●π/2+kπ |(sin2x+4)•cosx=0|

2400●(ab²; a/b²)

2400121988●4

240023●3m+n+2

24010●4% (Íàéäèòå % ñîäåð ñîëè â ðàñòâîðå)

240100●20

240102340●(4; 100]

2402020●√3

24022●10

24023512●4200ñì³

240288●20 %.

240300●–1 |cos 240º/cos 300º|

× 20ìèí

24051080210●√2+√3.

Íà 60ò

à âîäû

2407532●õ=0,05625.

241●5

241●87,5ñì² (ïëîù ∆ ÀÂÑ)

241●122,5

241●x²+y²+z²–4x+8y–2z=0

241●π/4+πn/2; n*Z |tg(2x–π/4)=1|

241●12 | BD {–2; 4; 1} |

2410●(–1)k+1 π/16+πk/4 √2•sin4x+1=0

2410●169π

2410●169 π ñì². (îïèñ îêîëî ïðÿì)

2410●2cì (∆ÀÂÑ)

241010 ●[0; 4]

241031790310503●1205; 895; 525

Òûñ,895ò,525òûñ

2411●1000

2412●±π/6–π/8+πk,k*Z {cos(2x+π/4)=1/2

2412●√2

2412●18√2

Ordm; (ãðàäóñí ìåðó ìåíüø äóãè)

Ñì (Äëèíà ñòîðîíû ÀÂ)

241208●õ<1,4 {2–4(1–õ)<2õ+0,8

24121●9

24121●9 {y=|x²–4|,[-1;2],õ=1

Ñì

N

24123●(3;–2) (y=x²–4x+1, y=2x+3)

2412585●8

2412616●12; 4

24132●πk–π/4<x<π/4+πk

Åí óëêåí áóòèí)

24132352130●–1

Ãà

2415●2/7

24152120●2

241523●√4x+1–5/2ln(2x–3)+C

241530●{(–9–√53)/2; (–1+√5)/2}

241571123●48.

24164●õ=–4

241640●–4

Äì. (äèàìåòð îêðóæ)

2419●(x/2–1/3)•(x/2+1/3)

242●π/4(2k±1),k*Z π/8(2n+1),n*Z

242●(x–7)(x+6) {x²–x–42

242●24π ñì² (Öèëèíäð áóèð áåòèíèí àóä òàá)

242●12êì/÷,9

242●xn–4

242●0;±0,5

242●4ì è 8ì (äëèíó ñòîðîí ïðÿì–êà)

Ì è 4 ì

242●cos4α

242●õ≠πn/2, n*Z |y=x²+4x/sin2x|

242●õ>1/3

242●4a²+16a+16

242●√x+√y/√x–y

2420●±0; ±0,5 | f(x)=2x4–x², f(0) |

2420●±3π/16+π/2k,k*Z

2420●0;8

2420●π/4(2k+1),k*Z π/8(2n+1),n*Z

24201●y=–2x+3

Áèëåò. (Ñêîêî áèëåòîâ êóïèëà 1 ãðóïïà)

Ñì. (âûñîòà AD)

Ñì (ïåðì îñåâîãî ñå÷ öèëèíäð)

2421●(0;1)U(1; 3]

2421●y=–2x+3

Ñì (ðàä âïèñ îêð)

24210●[-3;7] {x²–4x–21≤0

24210●m>–4

24212●–5/6

242122●–2

2422●0,2

2422●4,5 |ó=õ²–4õ+2 è ó=õ–2|

2422●3

2422●–6 |2lg4–lg2=lg(2–x)|

2422●±3π/8+π/8+πn;n*Z |cos(2x–π/4)=–√2/2|

2422●(–2π+4πn;π+4πn),n*Z |y=sin(x/2–π/4)–√2/2|

2422●–1 |(a²/a–b)(ab/a+b–a):à4/ಖb²|

24220●m<–2

242210●50/17

24222●4. (y=x²,4y=x²,x=2,y=–2

242222182222●1

24223●–8; 0

24223315●2,5.

24223372540●2,5

24224288●1

24225●–7 |x²=4+√2x²–5|

242255251212021●–16.

24226322●(x-y)/4y

2423●12 êì/÷, 9 êì/÷

2423●π/6(2n+1) 2πk

24230●–5≤ó≤–5

24230●–5≤y≤–2 | y=x²+4x–2 åãåð –3≤x≤0 |

24231●(–3;–1/3)(3/2;+∞)

24232●8/3

242320●8/3

2423243●1/x–2

2423302●5.

2323326●17/6

X-2

24236165●b/2a

242364●3

24239163●5 1/3.

24239163●16/3

U(8; 9)

2423920●(9; 16] |{ log2x≤4/log2x–3 9x–x²<0 |

2424●1/8sin8x+c

2424●cos x/4 |cos²x/4–sin²x/4|

2424●4m–16n

24240●(–∞;–2)U(2;+∞)

24240●(–2;2) |õ²–4/õ²+4<0|

242401●ó+6õ+1=0

242405●π/24+πn/4<x<5π/24+πn/4,n*Z

2424●4m–16n

242420●2.

242412●±π/24+π/4n,n*Z

Ñì (Íàéòè ãèïîòåíóçó)

Cì (Òîãäà âûñîòà ðîìáà ðàâíà)

24242●2y-x/y

24242422222●–4;–2

24243●1/2x+C

X

X

24245●0

Ñì

2425●(7; 9)

2425●(-∞;-2]U[2;+∞)

2425●6. (24ñàíûíûí 25% òàáûíûç)

2425412225●3

2426●811,2cm²

242628210●πn/4,πn/14,n*Z

2427108●216

242824152●(a+2)²(a²+6a+4)

Ñì, 30ñì

Êã ìåäè; 7êã öèíêà

243●2 |y=x²–4x+3 ïðèí íàéì çíà÷|

243●x=7π/4+kπ/2,k*Z |tg(2x–π/4)=√3|

243●(–∞;2)U(2;+∞)

243●(–∞;–2]U[2;∞) |√õ²–4>x–3|

243●[2;+∞) |ó=õ²–4õ+3|

243●–3

243●âîçðàñ(2;+∞) óáûâ (–∞;2)

Ñì è 7,5ñì

243●(5+√13/2;∞) |√õ²–4õ>√õ–3|

243●7,5; 4,5: 7,5; 4,5

243●a)1,3 b)(2;∞) c)(-∞;2)

243●a)1;3 á)(–∞;1)U(3;+∞) â)(1;3)

|a)íóëè ôóíêö á)ïðîì ó>0 â)ïðîì ó<0|

243●êðèò òî÷ íåò ó=õ–4/2õ–3

2430●±2π/3+8πk, k*Z

2430●õ1=3;õ2=1

2430●(–∞;0)U(0;3/4)

24300●a)1;3 á)(–∞;1)U(3;+∞) â)(1;3)

|y=x²–4x+3 à)íóëè ôóíêö á)ïðîì y>0 â)ïðîì y<0|

24302●240

24302920●(2;3)

24309●7,1

2431●q=1/3.

24310●(–∞;–1)U[3; ∞)U{2}

243115342312●4/5

Íàéäèòå S4)

243135●121 è 181/16

24315●3 5/8

2432●õ≤–1;õ≥9

2432●16π ñì²

2432●F(x)=x³/3+2x²–7

24320●π/4+πn,n*Z; arctg3+πk,k*Z

24322●3(y+2)/y–2

243222●(mx-n)(mx3+2x+1)

243229●(5;3)

24323●6(5√2–6+3√6–4√3)

243276●2.

24325●6 (Íàéäèòå S ∆)

243260●{–2; –1; 0; 1}

24328●9

2433●1/5

2433●1/6 | y=x²–4x+3, y=x–3|

2433●1/6 |ó=–õ²+4õ–3, ó=3–õ|

2433●(–1)k π/12+π/12+π/4k,k*Z

24330●2; 3

24330●π/3+ πk,k*Z

24330●(2;3)

24330●π/18+πê/3

2433232123●a+1

243329●(5;3)

24333●4

Bx

243406●2,75 |Âû÷(2,4–3/4):0,6|

243406●4,15

2435●(–11;–2) |{õó–ó=24 õ–3ó=–5|

243523●{2}

Íàéòè çíàìåíàòåëü)

Äíÿ

2436254●(3;1)

24363●(3–6õ)4+Ñ |f(x)=–24(3–6x)³|

243634●27(12√2+17)

×àñîâ

243714002●16800ñì³

24373●5.

24375●5

24375489323●8

24381●(2;4)

24381●0,8

244●7

244●4êì/÷

244●sin2α

244●sin²α

244●π/4 |y=2sin4xcos4x åí êèøè |

2440●(–∞;+∞)

2440●–2 |x²+4x+4≤0|

Ñì (âûñ ýò òðåóã)

24406●10

244100580●(-3;-2)(2;+∞)

24416●4 êì/÷àñ.

2442●π+2kπ |2tg(π/4–x/2)=–2|

24420● –4; 4

Åí óëêåí)

Õ2

2442424424122221●m+2n–2/m–2n–2

2442690●10 5/12.

S òðàïåöèÿ)

2445●24

2445●8 ñì². (ïëîù òðàïåöèè)

2446230●x≥6 | 24–4x+6x²–x³≤0 |

2448●–4; 4 |√õ²+4√õ4=8|

2448●130

2448●64

24480●[-4;8].

244812●3π ñì³

Ñì

24488412●1/2

Ñì (ðàññò îò âåðø)

24497●8√14 | (√2) log4 49+7 |

245●1;3 |ó=–õ²–4õ+5 1)õ=–5, ó=0 2)óáûâ (–∞;–2]

3)y>0 ïðè –5<x<1 4)y=0, x=3|

245●0,96

245●(–∞;+∞) |ó=√õ²–4õ+5|

245●[–5;1]

245●[0,1;105] lg²x–4lgx≤5

245●24/25 |sin( 2arccos 4/5)|

245●a)-1,5 b)(2;∞) c)(-∞;2)

245●7/24 |ctg2, cosα=–4/5,α–óãîë â III ÷åòâ|

245●à)–5;1 á)(–∞;–5)U(1;+∞) â)–9

|ó=õ²+4õ–5 à)íóëè ôóíêöèè á)ïðîì äëÿ ó>0

Â)íàéìåíüøåå çíà÷åíèå ôóíêöèè|

2450●a)-5;1; b)(- ∞;-5)U(1; +∞) ñ)–9

2450●[–1;5] |õ²–4õ–5≤0.|

245101334●5.

245154●–6.

2451626●(–∞;3].

Ñì

Íåò ðåøåíèé

24522500●{–5;–1;1;5}

2456●3

Ãð

24590180●–24/25

2460●π/8k,k*Z |sin2x•sin4x+cos6x=0|

24622812●–2; 6

Äíÿ

U(0;2)

24688●1

246890●2,4√5

247●8x³–cosx

Ñì (ñòîðîíó ðîìáà)

Íàéäèòå ñòîðîíó ðîìáà)

2470●[–7;–2] U [2;+∞)

247253●–5y+3b+9.

Ordm;

247545●40

24760●1/ 3√4; 8.

2481●0<x<9

Ordm;

24821●ymax=48 ymin=–6

24823011●–8i+24j

24836●64

24836347●15

24836413●18,2

24848●–1.

248512●a511/512

24903●9

24908565●1079; 1411

24903●9

2493●9

2493513547●–19.

2496●400 (Íàéäèòå ÷èñëî, åñëè 24% åãî ðàâíû 96)

2492●x=√6; x=-√6

25●arcctg2,5+πn,n*Z |ctgx+2,5|

25●arcctg2,5+πn,n*Z |ctgx=2,5|

25●√20(7)

25●3 |x≥2,5|

25●2a–5b–9√ab |(2√à+√b)•(√a–5√b)|

25●5/7mn (Íàéòè ïëîù ∆ ÀÂÑ)

25●50; 60

Óãîë ïðè âåðø)

25●[2; +∞)

25●(–7;3)

25●33,1/3%

25●32

25●6;4

25●20° (ìåíüø óã äàííîãî ∆ ðàâåí)

Êå

Ì

25●20% (Ñêîêî % ó÷ ñîñò ìàëü÷èêè)

25●18

25●18cì (ïåðèì ïàðàë–ìà)

25●–3/7

25●–3/7 {sinα-cosα/sinα+cosα,åñëè tgα=2/5

25●2,0625

25●(–∞;2] {√2–x>–5

25●0,5;(-∞;2,5] [2,5;∞)

25●2≤x≤3 {y=arcsin(2x–5)

25●20% (Íà ñêîêî % íàäî óìåíüø øèð ïðÿì–êà)

25●20% (×èñëî óâåë íà 25%)

25●2e2x–5 (f(x)=e2x–5)

25●2ex–5cosx+C f(x)=2ex+5sinx

25●5 åñå êåìèä³

Îáë êâàäðàòà óâåë)

25●a)0,5 b)(-∞;2,5) c)[2,5;∞)

Ì è 4ì. (äëèíû ýòèõ îòð)

Áàðëûқ àçûқ-òүë³ê æ/å áàñқà äà òàóàðÆ:25%

250●(–∞;–2/5).

2500011023●0

25011111●(4;–4),(4;–3)

250230●8%

25025645●–4x+11

2502650●a1=4, a50=102

25031●y=2x–7

2503149712●28

2504313●1·1/6.

2508●3125

25088245●164

251●(0;+∞) |(2/5)õ<1.|

251●(1;3) |√2õ+5=õ+1|

251●25.

251●5/ 2ln2•(5x-1) |h(x)=log2√5x–1|

251●(0;-∞)

251●2 |√2õ+5=õ+1|

25100●(0;–2)

25101●F (F(25/10) K(1)

251024●24

251051412●141

251052●–1/2

Ordm;

2511025551●250

2512199●1,99

251220●0,5.

Ìíîãî ðåø

251251●(0;1/5)U(1;5√5)

25125125●1/125.

25125453●a+b/2.

2512715243●2

2512900●a1=84 d=–4

2513●119/169 |cos2α, åñëè sinα=5/13|

2513090●120/169 |sin2α,sin=5/13, 0º<α<90º|

2513●119/169

251313●5

251326●65

Êã

Íàéä íà÷ äëèíó

25141●x+5

251435145156253●250

251439●(3;–1)

2514536●1/6.

25145625●(3;–1)

Òã; 200 òã.

2515●(-∞;1/2)

251504152504●1,9.

251512●840sm²

251512●x=2

25154917●10.

2516●4 (Íàéäèòå 25% îò ÷èëà 16)

25160●y=–0,4x+3,2 (2x+5y–16=0)

25160●(–∞;+∞) |õ²–5õ+16>0.|

Äëèíà âåêòîðà ÀÂ

2516515●(–1;0)

2516549187●10

Ñì (Íàéäèòå ðàçíîñòü îòðåçêîâ)

25199●1,99

252●4õ²/25 |(2õ/5)²|

252●2

252●[0;2)U[5;∞) |ó=√õ²–5õ/õ–2|

252●[–2,2] |f(x)=√log2(5–x²)|

252●5(x+2)

Åí óëêåí áóðûøû)

252●5(x+2)4

252●4õ²+20õó+25ó²

252●(–2;1) | ó=|√2–õ–5|–2 |

252●íåò ðåøåíèÿ |2õ–5|<2–x

M

2520●7 |√õ–2+√5=√20|

2520●–arctg√2/e/5+π/5ê

2520●40

25200025500●6

25202●250

Ñì

25202●10ñì (ÌÀ–íû òàáûíäàð)

252024●–2<õ<2

252027●–3 |íàéì îòð õ 25ó+2≥0,2 ó–7/ó|

Íàéì öåë îòð)

252027●–1 | Íàéá öåë îòð ó:25ó+2≥0,2 ó–7/ó |

Ñì

25205213●10 2/3

25205213●102/3

252101●0,2

2521103●abc(õ+ó)6

2521522252…●5

252153●5

252160●–4/5; 4/5

252162●(5x–4y)•(5x+4y)

2522●125cm³ (îáúåì êóáà)

2522●b2=2, q=5

2522016220●–5x/4y

25220421845●0

252215●3/4

25222●2.

25222522●4m²+25n²

252252●a/a+5b

252272232252●sin²xcos²x

252295212510●5.

2523●±√7 |õ²=5+√õ²–3|

2523●π/6+πn/3; π/4+πn, n*Z |cos(π/2–5x)–sinx=–2cos3x|

Ñì (Îïð çíà÷ ÷èñëà õ è íàéäèòå ïåðèì ðîìáà)

25230●P–20

25232●1/2.

252331●–6

2524●2.

2524●49π cm²

2524●30ñì² (òîãäà,ïëîù äàííîãî ∆ ðàâíà)

25240●x1=0,x2=-1.2

25241●–5;–4 |{ó=√õ+2–5 õ²+4õ–ó=1|

25241●(–∞;-3]

25241●2<x<5 |f(x)=2lg(5–x)+lg(x²–4)–lg(x–1)|

Mn.

252450●(–∞;26/3)U[6,5;∞)

2525●–3. |(√2–√5)(√2+√5)|

2525●–4. |√2–√5|–|2+√5|

2525●4à²-25b²

2525●5õ–5õ4

2525●√2m–√5n |2m–5n/√2m+√5n|

2525●√2x–√5 |2x–5/√2x+√5|

25250●–√6;–√5;√5;√6

25250●0;5;6.

Log5a

25251●0;-5

252520●π/10+2πk/5

252522250●6

252525●2/3

A-5

2525264642●–3√1–x²

2525405●432

25255●õ+5 |õ²/õ–5+25/5–õ|

25255252●1

252560●–2 |x2+5–√x2+5–6=0|

252575773●4/9

2526●(0,5;5), (2,5;1)

25262527●–7≤x≤2

252627252627●212

25265252523●0

2527●(-1)k π/6+πk;(-1)n arcsin1/3+pn,k*z,n*z

2527121●1

252845●2

Ì

253●[0;+∞) (ó=2,5+3.)

253●√17

253●6 |√x–2+√x–5=3|

253●23

Ó÷åíèêîâ)

253●4

2530●[–2π/3+2πn;2π/3+2πn],n*Z {cos2x+5cosx+3≥0

2530●[2π/3+2πn;2πn]

253057●2.

2531055364●2√19

25311●(3;8)

25312214332●[1; 2 2/3)

25313●5 5/6.

2531521●2,1

253220032●500ñì³

25322261●12

253240●–10

253251●125; 1/5

253251●{125; 1/5}.

2532540●–5; 1;–1; ±√6

2533●10 2/3

2533●3x–1/4x4+5

253302532●1

25332511●2a 9/1

253320●(–∞;0);(3;∞)

ßâëÿåòñÿ íîìåð 5

2534●150.

È120

2535●60º è 120º (Íàéäèòå óãëû ïàðàë–ìà)

253521●10,5; 14,7; 16,8.

25354●(–3;3) |√2x+5+√3x–5=4|

25361●x=11/5

×.

2538116238525●10

254●20êì/÷

Äîì 15ø

254●x5√x

254●80

2540●9.

2540●(-4;-1)

254001801...●180

254002●160 ñì² (ïëîù ∆ÀÂÑ)

Êì

25410●{2}

254100●{2}

25413331●õ+ó–1

254154●–6

25420●π/4+πk; arctg4+πn;n,k*Z

Íåò ðåøåíèÿ

25421029●(3;4]

2542290●(3; 4]

2542680●(-∞;1)U(2;4)U(4;+)

Äîìèêîâ; 15ïàëàòîê

2543●0,5x5–3cosx+C |f(x)=2,5x4+3sinx|

Ïëîù ôèãóðû

25434●1 1/37

Axy

25460●17

Êã

Êã.

254937585426●–0,3

255●2sin 3π/10 cosπ/10 |sin 2π/5+sin π/5|

255●5 {lg x=lg 25–lg 5.

Àáñöèññó À)

255●2√5+5/5

255●(–5/4;+∞)

255●5x+1

È 5

255110●1 11/40

2552●íåò Ø

2551815●1/4

2552●0,3

25521●0;–9 |õ²–5=(õ+5)(2õ–1)|

255210●1,7√10

255200011032●1;–3

255210●1,7√10

255234434534622●1/15õ³–1/8õ²ó+2/15õó²

255253552●x–5/5x.

25532●(–2;4)

255320●5; 95

A)99;b)0

2554432●(–1;1)

2555●0.

25563610..●15à/4(à-1)

255636●15a/4(a-1)

25564432●2.

2557●30ñì² (òîãäà ïëîù òðàïåöè ðàâíà)

2559●2

25713●(1;2).

2571914121347603●x>13/3

25720112●12êì/÷

257550521804●1

256●(–2 1/3;3 2/3),(7:–1)

256●(–1; 2)U(3; 6) {|õ²–5õ|<6

256●2;3 |ó=õ²–5õ+6|

256●a)(2;3) b)[2,5;∞) c)(-∞ ;2,5]

256●a)2;3 á)(–∞;5/2] â)1/4 (ó=–õ²+5õ–6.)

256●(x+2)(x+3)

2560●(2;3) |õ²–5õ+6<0|

2560●8;–7

2560●[–6;1] {õ²–5õ+6≥0

25602●k=–1 ( y=x²–5x+6, x0=2 )

256029140●[–1;2)

2560402●12,8; 25,6.

2560442253201206●11.

25609036128125●0,2.

25612●Ó íàéá=0; Ó íàéì=–12

256210●{–6,1}–{1}={6}

256215●–31/30.

256216●12√2ñì (äëèí äèàã ïàðàë–äà)

256220240260280●9

2562221013670367173231734●2

256234822208132●–1

25625623●–3

Ñì

256271223244●a(a–3)/(a–2)(a+4)

2562722●4

25627842●4/7.

25632●³√(x²+5x+6)²

256420●–24

256452●154π

256452●x/ay

2565●2,0625.

25651●5

2566●(–∞;–42/17)

Êîë ó÷ â êëàññå)

2570●(2;3) lg(x²–5x+7)<0

25713●(1; 2)

2571914121347603●x>13/3

2572●0 | x+y=2 x+z=5 y+z=–7 (x+y+z)²=? |

25720112●12êì/÷

2572015●12 êì/÷àñ.

257277885021●3/2

25735185●++– –

Ñì; 10ñì; 11,25 ñì

257550521804●1

258●x>–3 | 2x–5>x–8 |

Ã

25800251250●6

25800251250●3 |2m•5n=800 2n•5m=1250,m,n*R|

2581034356●√18

258155●29.

258155916720545●3,8

2582●(2;3) {õ²–5õ+8<2

258251423311243751989●2 17/21

25830●0

Ñì; 30 ñì.

A

25841684●9/84 (25/84–16/84)

259●(–∞;–2•3/4] |y=–x²+5x–9|

2591592591598100●4

25935●–6; 1 |õ²+5õ=9 ∫ 3(ó–5) dy|

25945●1.

25945●–1 |(2–√5)–√9+4√5|

2598●45°; 135°

X8

26●(–8;4) |x+2|<6

Ñì (Îïð âûñ ýòîé ïèðàì,åñëè åå îáúåì)

26●14

26●–2 |cos π–2sin π/6|

26●–2;3

26●20 5/6 {y=–x²+x+6 è îñüþ Îõ

26●24 ñì² (ïëîù áîê ïîâ ïèðàìèäû)

ABCD)

26●(4;∞)

26●(–∞;4)

26●2√5 |(õ;ó), √õ–√ó=2, √õ+√ó=6,íàéäèòå √õ+ó|

26●√3/2 |2sinαcosα a=π/6|

26●24cm²

26●(3;3) |{√õ/ó+√ó/õ=2, õ+ó=6|

26●π/3 |ó=cos2x, x=–π/6|

260●[–3;2]

260●(0; 1) | õ² ∫ õ 6dt<0|

260●(–2;3) |õ²–õ–6<0|

260●π/8(2n+1)π/4(2k+1)

260●õ>14 log(x/2)–6<0

260130120●10

260150114●1

2602390●√2

260240●[3;4)

2602512●1200 ñì³

260260●õ<–3, õ>3

260290●√2

260330●2,5 |2•cos60º+√3cos30º|

260393600●9ì²

26053352●õ1=–3; õ2=2

260906030●2 |2cos60º•sin90º/ctg60º•cos30º|

261●2 1/3 |√õ²+õ–6=õ–1|

2610●260cì². (ïëîù ïàðàë–ìà)

Îòíîø êàòåòîâ)

261010●àÝ[0;7]

26101●[0;6]

26101351128●–7

Ordm;. (óãëîì íàêëîí áîê ñòîðîíà)

2611●2 |ó=õ²–6õ+11|

261153312●21

2612●2(x+1).

Ñì (ìåíüø êàòåò)

Äåí áàñêà

×; 10÷

26157839●–0,1.

Èëè 18;6;2

26173264●38.

Âîñüìîé ÷ëåí

2618162●5

262●6 (äëèíó êàòåòîâ äàííîãî ∆)

262●24 {f(2), f(x)=6x²

2620●±π/24+πn/3;n*Z ( 2cos 6x–√2=0 )

2620●3 |(x2–x–6)√x–2≤0|

2622●x–3/x–1.

26223281●3; 3±2√5

262381●õ=18

2624●1/4

26242●(7;6) (Íàéòè ñòîðîíû ïðÿì–êà)

262422●884π cì²

262422126●16;-14

2625●–3;5

26252●600π ñì³ (îáúåì äàííîãî öèëèíäð)

26256252●±2

Tg 4

2626●tg4α |sin2α+sin6α/cos2α+cos6α|

2626101●26.

262551●3+√5

2627●729 |{√õ–√ó=26 √õ·ó=27 |

Íàéäèòå ñèíóñ ìåíüøåãî óãëà)

263●[–π/4+πn/2;π.4+πn/2)

263●[–π/4+πn/2; π/6+πn/2), n*Z

Ê

263●4√x–6lnx+3ex+C

263●y≥–6 |y=x²+6x+3|

263●(–∞;2) |ó=2–õ+ln(6–3x)|

26310●–3;3

26322●π/4+π/2k, k*Z;(-1)m/2arcsin3/4+π/2m,m*Z

26324●{-4;0,4}

26328326..●3.

È 9

2634322634●2.

×ëåí ýòîé ïðîãð)

2636●(–6;6)

Ñì è 9 ñì.

264●–8 è 8 |õ²=64|

264●2. |2sin(π/6)+tg(π/4).|

2640●60%

26400●–10<x<4

Ïðîö ñàìîëåò ãðóçà)

2640990●37,5%

264204●ó= –õ+1

26438132●2

26446●(625;1)(1;625)

26446●(625;1) | {√õ+√ó=26 4√õ+4√ó=6 |

264502●25ñì² (ïëîù ìåíüø ∆)

264677612●6,25

26480●3; 4

265●10,15

265●a)1,5 b)(-∞;3] c)[3;8) | y=–x²+x–5|

265●12õ5–1/sin²x {y(x)=2x6+ctgx–5

265●130√3 ñì³ (Îáúåì äàí ïèð–äû ðàâåí)

Ñì. (Íàéìåíüøèè êàòåò)

Íàéáîë êàòåò)

2652224●(5;1);(–5;–1).

265233●12

Ñì (âûñ ýòîé ïèðàìèäû)

2654●20ñì (ãèï ∆)

266●20 (3–ãî è 5–ãî ÷ëåíîâ ïðîãð)

Ðàçí äâóõ ñìåæíûõ óãëîâ)

266●(625;1)(1;625)

2662●(a+b)(a–b+6).

26620●(–∞;–6]U[6;+∞)

2663●√2/√3 |2+√6/√6+3|

26660●0.

2668●1152ñì³ (îáúåè ïðÿì ïàðàë–äà)

267●à)–1;7 á)(–∞;3] â)–16 ( ó=õ²–6õ–7 )

267223●12

26731●48 3/4 |26 ∫ 7 ³√x+1 dx|

2675422729●2

268●–1 (åí êèøè ìàíè ó=õ²–6õ+8)

Ñêîêî ëåò ñòàðøåìó)

268●16(2õ–6)7

2680●–4;–2 |õ²+6õ+8=0|

Ñêîêî ëåò ìëàäøåìó)

268120●(–2;3).

268226●2 |õ²+6õ–8=2√õ²+6õ|

268242●4√5 |Îïð äëèíó ìåäèàíû ÌÊ|

2688●6+2=8

269●21.

269●2/7ln/6x+9/+C

26921●2 1/3. |y(x)=x²+6x+9 è x=–2, x=–1|

269210●2 1/3

2692166●(7;1),(11;5)

26930●(–∞;3)

26933●õ1=0; õ2=9.

2694266●{1; 5; 3±2√3}

269739●ñ–3/21ñ.

27●40° è 140° (Ðîìá áóðûøû)

Îïð âåë äðóã óãëà èç ñìåæíûõ)

27●128 ( log2m=7 )

Ûõ 12òè ÷ëåí ïðîãð)

27●x=3,5 òî÷êà max |f(x)=–x²+7x|

27●60?

27●log√36√a=1/b

27●70

27●7,29π ñì² (ïëîù êðóãà)

Ïîëó÷ ïðèáûëü)

Ì

27●À)126°, Â)118°

27●(1;–5) |ÿâë ðåø óðàâ 2õ–ó=7|

270●(–3,5; +∞) | 2õ+7>0 |

270●55,125

270121…●1

2701218023601180●1

270122122●–6

270125●40

270249●1

Äíÿ,5ä

270327●19

27045●120, 150.

271●(–∞;0]U[7;+∞) |√x²–7x>–1|

271●(–∞;–7]U(1/5;+∞)

Ñóì êâàäð åãî êîðíåé)

2710023●1 1/6

27102690180●27+10√2

271042764054●20.

271137083023●5,1

È5 ÷ëåíîâ ïðîãð)

A

2712●3,9

2712●2 (Íàéäèòå çíà÷ ê, ó=êõ+2 À(–7;–12)

2712102310●–5

271221942364564272113416●18 65/84

2713●(a/3)³

271331●9

271391331270●0;1;2

2713305272●0,25.

27140●(0;2)

Íàéäèòå ìåíüøåå îñí)

271724●(2/7;3/7]

272●(3;1);(5/3;11/3) {2u+v=7 |u–v|=2

Ì. (Íàéòè âûñîòó)

272115375●√3

Íàéäèòå ïðîèç ñóì è ðàçí 27 è 22)

27221●õ<–9 |2x–7/2–x/2>x+1|

272165●10

272222●–12.

2722711●121.

27231160752505●12

2723509182123●1,9.

272381340252●43 1/9

27267262●±2

Ê

272703●19

27275●14

À

2728●–(b+1)

2728●–13;–1

2729●783

272921831●{–1}

273124●x=1,5

2731475135●–3

2732●(1;5)

Íåò êîðíåé

27324271●49.

273272562714●–2

273291256●9/625

Ñì (Íàéòè âûñîòó)

2734●–2 √x²+7=√3–4x

27353●(1;–3)

B.

273643249212162244●(3a–4b)(b+2)/b–2

274124●3.

2741240●3;4

274221501140●1

274231232●ab¹

274767●–1/2

2748720●44; 48

27487201141●44;48.

27511313..●1 12/13

275113132504313●1 12/23.

È 25

27521147●1/3

Íà3

275619571415●1

276●(x+6)(x+1)

2760●1; 6.

276137●(2;1)(1/3;6)

27618114120●15,45

27621236●x-1 / x+6

2763●2.

2763●1

2763210236●(1;6)

2763210●(1;6)

Íàéòè åå 6 ÷ëåí)

27637●(4;-5)

27643249212462244●(3à–4b)(b+2)/(b–2)

276816●7.

277●–47π/14

277●6π/7 | arccos(sin 27π/7) |

2772●(x–y)(x+y–7) |x²–7x+7y–y²|

277553111●0

278●16(2õ–7)7

278●1,15

279●1 2/3 |√2 7/9.|

27912812●(2;3)

27932●2

28●(2;4).

28●1/3

28●n=3 |y=xn,A(2;8)|

28●¦–3;–√7¦U(¦√7;3¦)

28●–1

28●6 |√x–2=8–x|

28●bn=(–2)•4n–1 (n–ãî ÷ë ãåîì ïðîãð –2;–8)

280280●1

2804040●√3

2805816●–5

2807063●3,37.

28080●(-∞;-3)U(3;+∞).

280820●20

28●–1/3281●–1/3 |log28x=–1|

280●(0; 1) |õ² ∫ õ 8dt<0|

280●(–∞; 0]U[1; ∞) |õ² ∫ õ 8dt≥0|

28080●(–∞;–3)U(3;+∞) |logx²–80,8<0|

281●[–1;3) |{2õ<8 x≥–1|

281●–1/3 log2 8x=–1

281033●5.

2810328103●10 |√28–√10√3+√28+√10√3|

281218●85

2812312●24

28132●–13

2814●√2+1

2815●(x+3)(x+5).

28150●(–∞;3]U[5;+∞). |x²–8x+15≥0|

28150●30

281502●7.

2816●21 1/3 |y=x²+8x+16|

291623241814●5

281692●(x+4+3a)(x+4–3a)

2818●1,5; 6

28182223●(2;+∞)

282●(0;3,2]

282150●1.

2821610121222●9/28

2821928840●–2;–6;–7;–1

Ò. (Âñåãî â ìàã êàðòîôåëÿ áûëî)

Sina

28238258278●2.

2825●12êì/÷

28252285●1

2825542●12 êì/÷àñ.

2827●8 (Îïð êîë–âî ó÷ íà õîðîøî è îòë)

282812●(-1)ⁿ π/8+πn/2

283●y≤13 {y=–x²+8x–3

283●–sin π/3

28344●(–1)n+1 π/24+πn/4, n*Z

283512151040●43°45 52

283670769623312031●23;31;97

283976151523●–15,92

2842231●3<õ<6.

28423●0

284427437516845467974010016710363188583●31, 43, 79, 67, 83

28482●(8;6) (Íàéòè ñòîðîíû ïðÿì–êà)

28522●10

Ab

2854574●7

286●(2;4)

286226●2√34

28635846●c²/3 |28b6/c3•c5/84b6|

287●245 ñì²

287●245 (S ïðÿìîóãîë ∆)

Äíåé

2870●(–∞;+∞)

287260●20

2873●9 êì/÷àñ.

2880●(-√4;0)

Ñì

2882402 ●–1,4

2883●144π ñì³

2883●144π ñì²

288333●600

28835721062551216●11·11/15

289214●480 cì² (Îïð ïëîù ïðÿìîóã–êà)

29●–7; 11 |õ–2|=9

29●–9 |f(0), f(x)=x²–9|

29●(–2;+∞) |√õ²+õ–9=√õ|

29●1) 4,816; 2) 4/25, 16/25, 64/25.

29●x(x+9)

29●(3;∞) f(x)=logx(x²–9)

290●(0;3] |{x²≤9 x>0|

290410290●9;1

290413234●14

29050●0

Íåò ðåøåíèÿ

29100●1

291351819●–5/18

291723112●{1,2}

29175●7225π/64

2919●90.

2920●õ1=–3;õ2=2

2920●3x³ |x²√9x², x≥0|

2920●3;–3;2 |(x²–9x)√2–x=0|

2920●x1=–3, x2=2

292059●100

29206●(-∞;4]U[5;6)

2921●–(x+3)(2+√x+1)

Ordm;

2921●1 (f(x)=2log9(x+2) f(1)=?)

2921●400π ñì² (ïëîù êðóãà)

292103●0

292180●196

292241221●(2; 2).

29227●±4

2923292●a+3b-1/a+3b

29260●8

29272●±4 |√x²+9–√x²–7|=2

2928200●(0;–10),(0;2)

2929●4a²–81

292912●0;1

293●(1; 9) |√2õ+9=õ–3|

293●9

293112931●√3/3

293112931●√3 |tg29°+tg31°/1–tg29°tg31|

29318●(3;2)

2932230●–3;–1;0;3

2933●(a(a+b))/3b²

293321●(3;–5)(5;–8)

29340●5

293492193962●a–3/3

29340●5

29352●6

294●(x+9/2)²–24 1/4

2942●√2+1

2942●x=√6;–√6

294222●13

29432●81

295●9π/5 |Ïðèâåäåííûé óãîë 29π/5|

Cm.

Ñì (ðàçíîñòü îòð,ðàçáèâ îñí ÀÑ)

2952●–4 √2õ+9+√õ+5=2

29543●x=9, y=9.

295618●18

296●[3;5]

29650●{1;–3} |(õ²–9)(√6–5õ–õ)=0|

29650●3 |x–9)(√6–5x–x)=0|

29650●–3; 1

297●140.

297●140° | AB,BC è ÀÑ 2:9:7 |

29713●4.

Ñì (ðåáðî êóáà)

298●4850

298●60; 80

Êì,80êì

298210●60 êì/÷; 80 ìê/÷

Ñì

Äà,(99è75)

N

2πn 2sinx+√2≥0

3●1/3 ctg x/3 (f(x)=ln sin x/3)

3●1/3 |√õ–√ó=3, √õ+√ó/õ–ó|

Y=cosx/3 ●6π

3●à*[0; ∞) |ó=åõ+àõ–3|

Íàéäèòå ýòè ÷èñëà)

3●Îäíà ñòîðîíà ðàâíà 2ñì (Â ïàðàë–ìå ñ âûñ √3ñì)

3●2 (Íàéäèòå ñòîðîíó ∆)

3●2H/L²H²

3●2√ex+3+C | ∫ ex/√ex+3dx |

3●3√3(3+cos²α)/2πsin²α

3●1/2√x·3√x·ln3–1

3●103

X3dx)

3●3x²+1/x.

Ñì (×åìó ðàâåí ïåðèìåòð êâàäðàòà)

3●1,2; 3

3●18√2ñì² (ïðàâ 8-óãîëüíèêà)

3●[2; 4].

3●15%

3●h=3V/S (h, V=Sh/3)

3●3õ²

X

3●3√6π ñì² (áîê ïîâ êîíóñà)

3●1/3ctgx/3

3●(-∞;1/3]

3●16; 65

A-3)(b-c)

3●[–2;2]

3●[π–3+2πn 4π/3+2πn],n*Z |y=√sin√3cosx.|

3●–1/2x²+x²/2+C

3●–1/3sin²x/3 |f(x)=ctg x/3|

3●sinx•3–cosx•ln3 |f(x)=3–cosx|

3●3cosxe3sinx |f(x)=e3–sinx|

3●2π

3●2 |x+y/y=3, x/y|

3●T=2π/3 |y=cos3x|

3●[0;+∞) |ó=3–|õ|

3●16; 65

Ln10)

3●3/cos²3x

3●36π ñì³ (îáúåì øàðà)

N

Sin3xe

3●3x¹ex6

3●3x²+1/2√x |f(x)=x³+√x. f(x)=?|

3●3x²ex²4

3●³√a²

3●1/2x |f(x)=ln√3x, f(x)|

3●4

3●4 {y(x)=tgx x=π/3

3●4 1/2 |ó=õ(3–õ)|

3●5 (õ+ó/ó åñëè õ–ó/ó=3)

3●60º |π/3 ãðàäóñíàÿ ìåðà|

3●9/2ñì³

3●9 åñå өñåä³

3●9 (ïëîù êðóãà ðàä 3/√π ðàâíà)

3●sinx*3-cosxln3

3●y=log x

3●y=log3x ( v=3x êåðè ôóíêö )

3●a+3

Êàáûðãàñû 2 ñì òåí

3●103

3●29 cm³ (Îáúåì ïèðàìèäû)

Cosxe3sinx

N

Äíåé

3●3sin3x•e–cos3x |f(x)=e–cos3x|

3●6π |ó=cos x/3 åí êèøè|

3●π/6+πk,k*Z |√3sinx=cosx|

3●π/6+πn,n*Z | ctgx=√3 |

3●6 (ðàñò ìåæ äâóìà ïàðàë–ìè êàñàòåëüí )

3●9√2

3●π/2k,k*Z (ctg3x=ctgx)

3●πk,k*Z (tgx=tg3x.)

3●52ì³

Ì (êâàä.kàáûð.)

3●18

Ïëîùàäü)

3●18√2 ñì² (ïëîù ïðàâ 8–óãîëüíèêà)

ÀÂÑ)

3●–60° |arctg(–√3)|

3●60º |arctg √3|

3●30° |arcctg√3|

3●π/6 |arcctg√3|

3●–π/3 |arctg (–√3)|

3●[–π=πn/3+πï;π/2+πn)

3●5π/6 arcctg(√3)

3●(1;2;3)

3●(3; ∞) |õ>3|

3●(–3;3)

3●Ïðè à≠1,õ=3/à–1;ïðè à=1 êîðíåé íåò |àõ=õ+3|

A-3)(b-c)

3●(0;+∞) |ó=3/õ ðàñïîë âûøå îñè àáñöèññ|

3●(-∞; 1/3)

3●(π/3+πn; π/2+πn),n*Z |tgx>√3|

3●[–2; 2]

3●[2;3) U(3;4]

3●[π/3+2nπ,4π/3+2πn], {y=√sinx-√3cosx |

3●[–π/3+πn; π/2+πn), n*Z | tgx≥–√3|

DABC)

3●–1/(3sin2•x/3)

3●1; à1/π

3●18 ñì²

3●2/õln3 |y=log√3x|

3●2π |y=sin³x|

3●√3/2 |sin(π–arctg√3)=?|

3●3/8•cos4/3•x+3/4cos2/3•x…

Cos23x

3●3/sinx/3

3●3:1

3●36π ñì³

3●√3x+x²/3+x |√x/3+x|

Ñì. (êâàä. kàá)

3●3√6π ñì² (Áîêîâàÿ ïîâåðõí êîíóñà ðàâíà)

3●3x² ex³ |f(x)=e3x|

3●3x2+1/2√x

3●3ex–sinõ (h(x)=3ex+cosx+p)

3●4 ( y(x)=tgx )

3●4 1/2

Ñì.

3●8/3 | xlogax=(aπ)log3ax |

3●9/2 ñì³ (Îáúåì ïèðàìèäû)

Åñå îñåäi.

3●9π

Ñì (Âûñîòà òðåóãîëüíèêà)

3●a³–3a²b+3ab²–b³ 3●sinx•3-cosxln3 3●x=2πn, n*z | ó=√log3cosx |

K, kÝZ

3●π/3•n, n*Z |f(x)=-sin3x|

3●ó=3√õ |ó=õ3|

3●x*(–π/2+kπ, π/3+kπ] |tgx≤√3|

3●9,12,15

3●700

3●1;8;27;64;125 |àn=n³|

3●9ñì (Íàéäèòå âûñîòó ∆)

Òàðàçû òàáàқøàñûíûң á³ð æàғûíäà

6àïåëüñèí; 3қàóûí Æ:3 àïåëüñèíãå

30●0,5 |sin30°|

30●1/2=cos60° |sin30°|

30●1/√3=ctg60° |tg30°|

30●√3/2=sin60° |cos30°|

30●√3=tg60° |ctg30°|

30●arctg 1/3+πn,n*Z | 3sinx–cosx |

30●60

30●5

Ñì (âåðñ Ñ äî ïëîñêîñò)

N

30●–π/6+πê,k*Z

30●(0;3] | x–3/x≤0 |

30●–π/3+πn,n*Z | tgx+√3=0 |

30●0.5

Ãð (ñìåø èíäèè è ãðóçèí ÷àé)

30●5; 3êì/÷

30●–1/2 |cosα tgα α=–30º|

30●2πn,n*Z |log3•cosx=0|

30●2πn,n*Z |log3 cosx=0|

Ordm; (Âû÷ óãîë íàêëîíà åå ê îñíîâàíèÿì)

Ãðèáû)

30●60º æàíå 30º

30●arctg1/3+πn; n*z |3sinx–cosx=0|

30●(π–(–1)n π/3+πn; (–1)π/3–πn),n*Z

| sinx+siny=√3 x+y–π=0 |

R

Êå êåìèäè

30●π/2n,n*Z |sin3x+sinx=0.|

30●π/3+πk, k*Z

30●[3;+∞) |3–õ≤0|

30●(–∞;–3)U(–3;∞) /|õ+3|>0/

30●π/4+πn/2; π/2+πn; n*z |cosx+cos3x=0|

30●π+2πn,n*Z | x•log3(cos(π–x))=0 |

Íåò êîðíåé

30●Òóáèðè æîÊ. √x+3=0

30●√2a³ (îáúåì ïðàâ 4–íîé ïðèçìû)

30●300

30●30º;150º;150º;30º

Ordm;

Ãð (óãîë íàêëîíà ê îñíîâ)

30●60º æàíå 30º

Òûñ

Ò

30●60

Êì

30●75°; 75°; 105°; 105°.

30●π/6+πê; ê*Z |√3sinx–cosx=0|

30●π/6+πn, n*Z | tgx–√3=0 |

Ordm; èì ðàä ìåðó)

30●4êì/÷

30●–1/2

30●√2a³

30●–1; 0;1

Ñì (Îïð áîëüóþ ñòîðîíó)

300●a1=30,d=0;a1=3,d=6

300●1/2. |cos 300º.|

Îáðàç ãåîìåòð)

300●3

300●5πR²/6

300●â IV ÷åòâåðòè b–ïîëæèò (+) |b=cos300°|

30009301●–0,1.

Ñì

300192●20 %

3002●300

Cm

30021●48

30023●50,100,150.

3003312●25π ñì²

3003501329032018150●726

30036●2√2

3004●2

3004130●137,5

300530552●1/16; 2

30064●4

Ñì (äëèí ñòîðîíû îñí)

301●4 2/3

301●ln4 |3 ∫ 0 dx/x+1|

301●1/2 |ó=x³, y=0, x=–1|

3010●1/7π |y=x³, y=0, x=1, x=0|

301015●2:3:1

Ì (êàòåò,ëåæ ïðîòèâ óãëà)

È 450ã.

3012●72√3π ñì²

3012●72√3π ñì³

3012●√3 |π/3 ∫ 0 1/cos²x dx|

3012●√2/2 | π/3 ∫ 0 √1–cos2 xdx |

3012●3 3/4

Ñì.

3012270360●1.

301253●(5;³√5)

3012500025●10

301254000815000032●1

Áîëüø ÷èñëî)

3013718212131●9;-4

Sm

M

Ñì (Íàéäèòå äëèíó äóãè îêð ðàä)

30153015730415730415●cos(π/30)

301535●100π

×

3018●1093,5π ñì³

Ñì

302●15 cì²

Sin2 xdx

302●4 (y=x³, y=0 x=2 )

Êì

302●30°

302●√3 |π/3 ∫ 0 dx/cos²x|

Óâåë öåíà íà ÿáëîêè çà 2 ìåñÿöà)

Ïóòè îñò ïðîéòè)

3020●56 (Â ïåðâ äåíü 30% 20%)

3020●0,22 ì²

3020●2 |3sin 0+2cos 0|

3020●20%

3020●136 (1–ûõ 8–èì ÷ëåíîâ ïðîãð)

3020●íà 9º (ïðÿì óãëà ìåíüøå 20% ðàçâåðò óãëà)

30202428●2340

3020307031930●–67

Ì

3021●10ì² (Áîê ïîâ ïèðàìèäû)

30210●x=5π/12+πn; n*Z

3021132171831●9;–4

Ì

Ñì (ïåðèìåòð)

Ñì

3022●484√3/3 ñì² (Íàéäèòå ïëîù ïðÿìîóã–êà)

3022122●(0;–3,5),(0;3), (21,21)

3023●(–3; 1,5) |õ+3>0 2x<0|

3023●3√3/2 (ïëîù ýòîãî ∆ ðàâíà)

30230●x>–3 |log3 0,2/x+3<0|

30230●x<–3 |log3 0,2/x+3>0.|

302333●π/3+πn<x≤2π/3+πn,n*Z

|{ctg(x–π/3)≥0 ctg(2x+π/3)≥–√3/3|

3024●16; 16;22 (Íàéäèòå äëèíû ñòîðîí ∆)

3025●300cm²

3025●300cì² (ïëîù ðàâíîáåäð ∆)

Ñì

Ñì

Òã, 200òã

Mr; 200 mr

Cm

302525●24 (h ∆ îïóù íà îñí)

3027●10% (öåíà % ñíèæ íà)

Ò

30271●(3; 27)

3027225●x=7/12

30292●45π ñì³

30292●450cm²

303●4832√3ñì²

303●2√3 (áîê ðàâí ∆ÀÂÑ)

303●36

303●√3

Ì. (×åìó ðàâíà äëèíà îêð )

303●1

303●1 (ïëîù ïàðàë–ìà, ïîñòð íà ýò âåêòð)

303●√3/2

303●25êì/÷

303●1/3. |π/3 ∫ 0 sin(x+π/3)dx.|

303●15=(-∞;-5)U(1/2;∞)

303●(2; 3,5)

Sin

3030●–sinα {cos(30°+α)-cos(30°–α)

3030●1/2(√3/2+sin2õ) |sin(30°+x)cos(30°–x)|

3030●ñíèçèëàñü íà 9%

3030142●±π/6+πê,ê*Z

303030●5

303060●30√3

3031●25 êì/÷àñ

30311●–6 |√30–õ–√30+õ=1|

303159●1 | tg 30° tg31°……. tg59° |

30320●96

30320205040530●–7

303215●(–∞;-5)U(1/2;+∞)

30323●0,5 ñì³ (îáúåì ïèðàìèäû)

3034●36

Íð êûðûíäàãû åêèæàêòà áóðûø)

3036●2√2

3036●arcsin 3/4 (Íàéòè óãîë <B)

303630●540 ñì² (Íàéäèòå ïëîù òðàïåöèè)

3039●100π

304●(32√3+48) ñì² (Âû÷ ïëîù ýòîãî ∆)

304●y=4√2+3π√2/8–3√2/2x |ó=sin3x â òî÷êå õ0=π/4|

Äëèíà áîëüø õîðäû)

304●48+32√3cm² (Íàéäèòå ïëîù ∆)

3040●140º;10º

Ñì (Ðàäèóñ îïèñ îêðóæ)

3040●50º (Ìåíüø óãîë äàííîãî ∆)

3040●70º (Áîëüø óãîë äàííîãî ∆)

30402●240

Ñì (ðàññò îò öåíò øàðà äî ïë ðîìáà)

30403602●9000 ñì²

304100●4.

304262●12äì³

304262122●12 äì³

304226122●12dm³

304296308292●4√3

3045●L³√2/8 (îáúåì ïðÿìîóã ïàðàë)

3045●1/√2 (ÂÑ/ÀÑ)

3045●√2

3045●3√2/8

Ñ

305●1/64. {³√√x=0,5

Ìàññà ïîñóäû)

3050●(–1)ê+1π/18+π/3ê...

Ñì (Âû÷ âûñ,ïðîâ èç ïðÿì óãëà)

305148234●y<x<z

3055●35

Ë.

Ë

Ë; 80ë

Ñì è 8ñì (Íàéäèòå åãî ñòîðîíû)

30593●n=5, b1=48.

306●12

306●12 è 6√3. (äèàì è õîðäà îêð)

Øåíá.ðàä)

306●6 | <A=30°, BC=6 |

Íàéäèòå íåèç ÷èñëî ó)

3060245●–1/4 |sin 30º•cos60º–sin²45º|

3060245●5/4 |cos30•sin60º+cos²45º|

30604845●2410.

306090●1–√3 / 2.

Ñì

Ñì (ãèïîòåíóçà)

Ñì

Ñì

30743512305●19/75.

Äåðåâüåâ íà äà÷å)

3075●123/40

30751514125326●1,225

308●lg√3cm²

308●16√3ñì² (ïëîù îñåâ ñå÷ êîí)

3081800●120.

3084●5π ñì²

X

3096●arcsin 3/4

309898●2240

31●1/3(x+1) |f(x)=ln³√x+1|

31●1<x<3 |f(x)=lg(3–x)+lg(x–1)|

31●2 |3 ∫ 1dx |

31●2

31●x²/2+6/11x

31●x–3/2x²+C (y=–3x+1)

31●–π/6+2π/3ê; k*Z

31●π/3+2πê; k*Z | cos(x–π/3)=1. |

31●πn, n*Z

31● (x-1)(x2+x+1)

31●(–∞;–4)U(–2;+∞)

31●\–4XXXX–2////x |õ+3|≤1|

31●α=arctg(1/3ln3)

31●175

31●α=arctg(1/3ln3) |y=log3x, y=1|

31●(–1)k+1•π/6+π/3+kπ,k*Z |sinx–√3cos x=–1|

31●(–1)k π/6–π/6+kπ |cosx+√3sinx=1|

31●–π/6+πn/3<x≤–π/12+πn/3,n*Z |tg3x≤–1|

31●(–∞; ∞)

31●[1/3; 0,5)

31●[1/3; 0,5) {√3õ–1<√õ

31●(0; 3] {3/õ≥1

31●–1 (√3-õ=1-õ)

31●103.

31●4, 7, 10, 13, 16 |xn=3n+1|

31●450

31●x–3 / 2x2+C

31●åõ(õ³+3õ²+1) |f(x)=(x³+1)ex|

31●π/3+2πk,k*Z

31●π/6+2πk, k*Z |sin(x+π/3)=1|

31●–π/6+πn/3<x≤–π/12+πn/3,n*Z {tg3x≤–1

31●–π/6+2π/3k |sin3x=–1|

31●πn,n*Z

31●õ2/2+6/11 õ11/6+2õ/33/2+Ñ

31●(–∞;–4) |õ+3|>1

31●Íå èìååò ðåøåíèÿ { |õ–3|<–1

31●(x–1)•(x²+x+1)

31●ó=1–õ/3 (õ+3ó=1)

31●13π/12 arctg√3+arct(–1)

310●y=10

310●–π/6+πï, n*Z {√3tgx+1=0

310●(–1)n arcsin 1/3+πn; n*Z ( 3sinx–1=0 )

310●282,6

310●√10–3

Ñì

310●â IV ÷åòâåðòè d=îòðèöàò(–) |d=ctg310°|

310●(1; 2] |log3(x–1)≤0|

3100●x=3º20+60ºê, ê*z

31002831553●4³√2/25

31001●23/14π |y=x³+1, y=0, x=0, x=1|

31012●2 3/4

Ñì. (îïð ïåðâîíà÷ ðàçì ëèñòà æåñòè)

3102●arctg 3/7

U(1;2)

3102112●17.

3102210●[0;3]U[7;+∞)

310224100●(–2;–4);(10; 0).

31023102●3m–2n

310241●(–1/3; 0) |{lg(3x+1)<0 lg(2–4x)<1|

31025●y=–3x+1 |Ñîñò óðàâ (–3; 10) è (2; –5)|

3103102●0

31032●(1;2)

310322●1/√10.

310360●{120°,180°} {sinx/√3=1+cosx â [0; 360°].

3105●32; 3

310540●±2

31074●–17

3108●3√2

3108●3•³√4

311●–1

311●x=–1 |y=3x+1/x+1|

311●9

311●4. {loga 3√a/b, logab=–11

311●a³+3a²+3a

311●(–∞;–1]U(1;∞) |x+3/x–1≥–1|

31100●(–∞;–3)U(1;10) |(õ+3)(õ–1)(õ–10)<0|

311113311●30°

31112●1/à+b

31112●(9;3)

31113●3

311143313●3/2.

À

3112●õ=1/3

3112●3π/4 |arctg(√3)+arctg(–1)+arccos(–1/2)|

31120●–1/2

31120●10

31120●10 {a3+a11=20

31120●2/3

31120●–1/2 f(x)=k/k–3, g(x)=1/1+t², f[g(0)]

31121●2 2/3 | 3 ∫ 1 (1/x²+1)dx|

3112172●10

Åí êèøè áóòèí)

31123372●q=5, â3=300 èëè q= –6, â3=432

3112541●20

31129●(4;–1)

3113●à. {a√3:(1/à) 1–√3

311306301●–9828

31132●[1;7] |3+√11–õ=√32–õ|

3114●(4;+∞) |ó=3lg(x–1)–1/√x–4|

3115●(–∞;–5)U(–5;+∞)

3116●496.

311622112●0,6.

3117131●–4,5

31172●8 |√3õ+1–√17–õ=2|

3117212195250●3

312●õ=π/3+πê

312●(π/9+2πn/3; 5π/9+2πn/3)

312●±ï/9+2/3πk, k Î Z.

312●7/(õ+2)² |y=3x–1/x+2|

312●x=π/3+πk, k*z {log3tgx=1/2

312●x=–2π/3+kπ;kπ,k*Z |cos(x+π/3)=1/2|

312●(–1/3; 1) {|3x–1|<2

312●[–1/3; 1] |3õ–1|≤2

312●(3x+1)³/9+c ∫(3x+1)²dx

312●±2π+6πn, n*Z

312●±2π+6πk |cosx/3=–1/2|

312●±4π+120πk,k*Z

312●±π/9+2/3πk,k*Z

312●–3 | 3x–y–z=1 x–y–z=2} x+y+z |

312●4

312●ó=2õ+1/3 ( y=3x–1/2 )

312●õ=π/3+πê,ê*Z

312●õ4/4–1/õ+Ñ

312●(–∞; 12)

312●(0; 6]

312●(0; 6] {3/x≥1/2

312●(π/3+2πn/3; 5π/9+2πn/3) n*Z

312●±2+6n n*Z

312●–1/3≤õ≤1 |3õ–1|≤2

312●[–5;–1) |x–3/x+1≥2|

312●6 (âðåìÿ ¼ ÷àñòü)

312●íåò ðåøåíèÿ |3(õ+1)–õ–2|=õ

3120●2460

3120●18 1/7π

3121●(1;1)

U(1;2)

31210●(1;2) |logx 3x–1/x²+1>0|

31210●0; 2/3

31212●6 1/2

31212●(õ–1)² |x³(x–1)–x²(x–1)/x²|

B

312131211312●1/2

3121312111312●–1/6

312133517●0

3121422621●1/2

31218587●(4;4)

Ò

3122●1/a+b

3122●x>–1

31220●(2;3] è –1 (õ–3)(õ+1)²/õ–2≤0

31220●2/3k k*Z

31221367●35.

312214356●9

3122161●–8/3

31221921●3√2.

31222341324●õ<1/5

31222367●35.

312231●x<1/5

312231324●x<1/5

312232●3±√5.

312235●õ=–1

Ëèòð

3122812144612●â+12/â+3

3123●6/ln2+3ln3 |3 ∫ 1 (2õ+3/õ) dx|

3123●25π/18+2πn≤x<3π/2+2πn,n*Z |{sin3x>1/2 tg≥√3|

3123●3(√2+2–√6)/4

3123072●6

3123163305●0,5

3123163305●0,57

3123225●2.

3123312●1

3123312●{13}

31236●–3/6

3124●(–1/3; 1)

3124●[–1,5; 2] |–3≤1–2x≤4|

3124●y=10–3x

3124●1 1/9. |(3–1)²+4º|

Íåò ðåøåíèé

312400211400111●1800

Ln3)

312423●4

31243●6/ln2+4ln3+6 |3 ∫ 1(2x+4/x+3) dx|

3125●3,04

A-4

312512242121●x²+1

312512461●3

312525●π–5

31252525●p–5 |p³–125/p²+5p+25|

312532●–27

31253600086●25ab²c².

312548●q=±2 {çíàì ãåîì ïðîãð

Íàéäèòå b8)

312548189●6

3125488●±384

Íåò êîðíåé

312548189●6

31256900273●50à²b³/3c

3127●–3

Ordm;

3127110●–1; 1/3; 3

3128●[-7;4]

3128012800513●4.

3128230001612●20a²bc–4

312825●èà, n=29

3128252253●112; n=29

313●1 |√3õ+1=√õ+3|

313●√3/3

313●(–∞; –1/9)

313●(–∞;–1/9] |–3õ≥1/3|

X-1

313●20 |3 ∫ 1 x³ dx|

313●3õ2/(1+õ3)2

313●√3 |tgα+tg(π/3–α)/1–tgα•tg(π/3–α|

313●y=x–1

313●õ=–1

3130●(0; 1)U (3; ∞)

3130●20 | y=x³, x=1, x=3, y=0|

3130351318223●5/8.

3131●õ=±√1–(à³–2/3à)³ |³√1+x+ ³√1–x=a|

3131●(–∞;–5)U(–1;+∞) | 3/1+|x+3|<1 |

3131●1/3(e3x+1–sin(3x+1))+C

313100175035●5/6.

313119●3.

31312●[5;+∞) |³√1+√x+³√1–√x=2|

3131224●(0;3)

3131233456●3,5

3131307●–1

3131415●84ñì³

313156●1,5.

313156217●0,7.

31319195412●16

Ordm;

Ãð (×åìó ðàâíà òóïîé óãîë)

3132●25π/18+2πn≤x<3π/2+2πn,

31321●1/a(a+1)

313212200●2,6

313223133130●π/6

313224●3

31326322905●x=29, y=20

31323●–6

3132319●(–∞; –4/3)

313232●1.

3132537●2,5.

313261323226●–2

31326322905●(2;1)

313264●4

3133●1/2(1/2x4+³√x²)+C

3133●9(x³+1/x³)²(x²–1/x4)

31330●2πk/3

31331●3

313312●3900

31331333●–2√3

3133132120●2

31332●24/ln3+3ln3+4 |3 ∫ 1(3x+3/x+2) dx|

31332227●(1;1)

313323233●1/3;9

31333●–8/3.

313323233●1/3; 9

Õ

31333333●(2;3)

31333333●{–1; 2; 3}

31341●1

3135●6

31350●–8

3136●18.

313632227●(1;1)

3136552511●6,5.

31390●(1; 1 1/9)

31398054455152010023123241221862914000225●1.

314●–1

314●65

3140251524●1

314181●20

3142●3å31õ+4+2cosx+C

314213●3/2√21

31421622112411●1

31426142213●2/3

3144●a–16/3,b4/3

3145502170●1 5/8

314589●13

314612●–0,5

31467663●49

315●[6;+∞) |y=3|x–1|+5|

315●1 |tg(–315º)|

315●x>5

315●1

×

315●2π/3

3152●15

31525●4/5. (3 1/5 ñàíûíûí 25% òàáûíûç)

315315●3

31531714136●49/9

31532●2

3154●–14 |f(x)=3x–1/x–5 â òî÷êå õ=4|

3154●16x–10y+31=0

315405●–0,5. |sin 315º•cos 405º|

31548●60êì/÷

315494154921314113425411340282228●4,9

×àñîâ

315533●(3;4)

3156011560●2

316●3/x+1 ( f(x)=3ln x+1/6 )

Ðîìá

3162●3<x≤4

316207●2

3162037●2

31624●õ≤–4; õ≥4

31624512●2,3

31624614●0,5

316281536●0; 1/2

3163●6

31632227●(1;1)

31634●2

3163924312232932●1/3a+2

3164●ó(ó–4)

3165●(x-3)²+(y-1)²=25

3165023●2

31659316●3, 3/2, 3/4

317●b–5 2/3

317●2460

3171114●4.

31733173●2

3174●1/2

317788●1/2

318●ó=4õ+1/√3+2π/9

È 12 (íàòóðàëüíûå ÷èñëà)

318010405080●–4.

318124●(1; 100)

3182●27ñì²(ïëîù)

31820●â1=5, â5 = 405.

318211213730485●1,25.

318212●–1 1/4

31821236●3/ó+6

318240●27cm²

318245●27 (S ∆)

318245●27ñì² (ïëîù ∆)

Y

318314310●2

3184●52

318414216●52

31843314323163●52.

31851621●2 (ñ3=18;ñ5=162.Íàéòè ñ1)

31851626●±486

31864216121●5

319●(–2; 1/9) (ó=3õæàíå ó=1/9)

319●13,5

31925●15

3193●9

319303020307●–67

31975●7125

32●1 (lg3x–lgy/lgz+lgy=logy•z x² x•y=?)

32●0,5. |cos(arcsin(–√3/2))|

32●1. |3–(x–1)²|

32●–1+1/x–2 | x–3/2–x |

32●9x²–6xy+y² (3x–y)²

32●[1,5; +∞) { ó=|3–2õ|

32●[–2;–1]

32●[–5;1] |3cosα–2|

32●â 4√2 ðàçà {ïëîù óâåë â 32 ðàçà)

32●15/(2+3); 10/(2+3)

Cm îäíà ñòîðîíà

32●1,2,3 f(x)=log3(x+2)

32●3xln3+2/x³ {y=3x–x–2.

32●–3/x². |f(x)=3–2x/x.|

32●–3x–4+2 (g(x)=x–3+2x)

32●y>0, x>0 (y=x –3/2)

32●60; 40êì/÷

32●[3;+∞)

32●±π/6+2πn,n*Z |cosx=√3/2|

32●1/3³√x²+1/2√x+2 | y(x)=³√x+√x+2x |

X4

32●3 {y=log3(x–2)

32●7 |Íàéäèòå íóëè ôóíê ó=3–√õ+2|

32●√15/√2+√3; √10/√2+√3 (Â ïðÿì ∆ êàòåòû ðàâíû)

32●30

32●32,4π (Îáúåì òåëà ó=3õ, ó=õ²)

Ãà

32●{–3; 1; 2}

32●3n+2 (Íàç ôîðì îáù ÷ëåíà ïîñëåä íàòóð)

32●3π ñì³

32●(–500/6+20n; 50/6+20n ) n*Z

32●–60°

32●7+4√3/8ñì² (Íàéäèòå ïëîùàäü êâàäðàòà)

32●–√3/2 |x=π/3 f(x)=cos²x|

32●9π ñì³

V êîíóñà)

32●9õ²–6õó+ó² |3(õ–ó)²|

32●a2x(ax–1) {a3x–a2x

32●a³√3/6 (îáúåì ýòîé ïèðàìèäû)

32●Íåò ðåøåíèé |√x+3=–2|

Ñóììà 1ûõ 8ìè ÷ëåí ãåîì ïðîãð)

32●–1/2

32●–8

32●8 |ó=àõ B(π/3; 2π).Íàéäèòå çíà÷ à|

32●(–1)kπ/3+πk, k*Z |sinx=√3/2|

32●(–1)n+1π/3+πn,n*Z |sinx=–√3/2.|

Ïðîåêöèÿñû 2-ãå)

32●4

32●(1;5) { |õ–3|<2

32●[1;∞) |√õ+3>2|

32●6,25

32●5 (a→=3, b→=2, a→+b→,a→–b→)

Äåë îá ïèð êëîñêîñòü)

32●(–2;∞)

32●(π/6+2πn; 11π/6+2πn),n*Z |cosx<√3/2|

32●[–4π/3+2πn; π/3+2πn],n*Z |sinx≤√3/2|

32●1/xln3 (¦(x)=log32x)

32●(log32; +∞) |3õ>2|

32●3õ2-õ / ln(3x2-x)

32●3x²+2x•lnx+x |h(x)=x³+x²•lnx|

32●3•2x ln2+ex(cosx+sinx) |f(x)=3•2x+exsinx|

32●5/6 |√a³√a²=ay. Íàéäèòå ó|

32●6õ-1 / 3õ2-õ

Ñì (×åìó ðàâíà ñòîðîíà êâàäðàòà)

32●9π cì³

Ñì (âîêð ñâîåãî êàòåòà)

32●(9;+∞) |log3x>2|

Íàéòè 5 ÷ëåí ïðîãð)

32●I, II è III |f(x)=log3(x+2)|

32●±π/6+2πn n*Z

32●±π/6+2πk,kπ |√3tgx=2sinx|

32●à³√3/6 (îáúåì ýòîé ïèðàìèäû ðàâåí)

32●0;5

32●1.9m³

32●1/x ln³

32●3 (íàéá çíà÷ y=3sin2x )

32●30

32●30° (arccos √3/2)

32●60° {arccos √3/2.

32●–60° {arcsin(–√3/2).

32●60° {arcsin(√3/2).

32●150º |arccos √3/2|

32●3x² sin {2x+2x³=cos2x

32●6x-1/3x²-x

32●6/5x²√x+4/3x√x+C

32●íåò ðåøåíèé |√õ+3=–2|

32●x=–2–òî÷êà ðàçðûâà 2–ãî ðîäà |ó=3õ/õ+2|

32●π/6 |arccos√3/2|

32●y>2 (y=3x+2)

32●óáûâ (–∞;1/2]; âîçð [1/2; +∞) |ó(õ)=3õ²–õ|

320●√45(2)

È 12äíåé.

Êã.

320●(2;+∞) {3/2–õ≤0

320●0; π√3 {y=√3x+sin2x, [0;π]

N

320●π/2+πn;n*Z | 3cosx–sin2x=0 |

320●(–∞;–3] |(x–3)√2–x≤0|

320●π/2+πn; nÝz |3cosx–sin2x=0|

320●π/2+πn; π/4+πn/2;n*Z |cos3x+sinx sin2x=0|

320●π/3+2πn≤x<π/2+2πn, {sinx≥√3/2 tgx≥0

320●π/2+πn; (–1)ê+1 π/3+πê; ê, n*Z

320●[0;9)

3200●y=32x+ln2

32003235●3a+2b

32011●5 1/3π |y=√3x–x², y=0, x=1, x=–1|

32012●a=–7 b=–3

32012122●3.

Òåíãå

32016●–2√10/25; 2√10/25.

3202●π/3

Êã.

3202160●[3;4)

32021602512503●6/5

3203●–3√3

Ñì (âûñ ïèðàìèäû)

Ñì (äëèí îáð êîíóñà)

32040●25 %.

Ke

3204420●21.

32045●2 √õ+3+√20=√45

3205●2÷ (Îäèí ðàá (t=3) 20ìèí,5÷)

3205●(0; 1) {y=(log3x–log2x)–0,5

320505●(-1)ⁿ+¹ π/3+2πn; n*Z

320530552●1/16; 2.

320545280●13√5

Êì

3206●x²+y²+6x–4y–12=0 (Íàéäèòå óðàâ îêð)

3208●60; 69; 79

32080●2. |√320/√80|

32081510●60; 69; 79.

32080●4 |√320/√80|

Íåò ðåøåíèé

321●xmin=–1,5

321●(–∞;+∞)

321●(–∞; 2/3] ( |x–3|≥2x+1 )

K

321●0

321●2 |õ+3|=2õ+1

321●2+log3x f(x)=3x–2 f–1(x)

321●3/5

321●3√13 ñì² (ïëîù áîê ïîâ ïèðàìèäû)

321●π–1/5

321●π/6+kπ/2 |√3ctg2x=1|

321●7/12 {ó=–õ³,ó=õ²,õ=1

3210●(-3;-1)U(1;∞)

3210●6x+5/√x

3210●(1/2;∞) |3/2õ–1>0|

3210●(–∞;–1/2)U(–1/2;+∞) |y(x)=3–x/2x+1, y(x)<0|

32100●36

321022●(1/2;2)

3210232●(1/2; 2)

321024●y=–4.

321030●sin 1/3 |3arcsin²x–10arcsinx+3=0|

321030●sin3; sin1/3

321032●(1/2;2)

3210325●(2;1)

32104●(11;–8)√185

32109●(–2;1)

32109●1;–2 |3x²+x=10lg9|

321094210316104●840.

Ordm; (óãîë ABC)

Ordm;

32111●0 |tg(3π/2–1)sin(π–1)+cos(π+1)|

Åí óëêåí)

321112●(1;+∞) {32õ-1–3 õ-1>2

32112●1/16

321121233112●0,7.

321122●4

32112332●1

3212●–7/3

3212●õ=3 |log3(2x+1)=2|

3212●3 ( log3(2x–1)<2 )

3212●(0;1)

3212●–6

3212●õ=3

3212●õ=3 {log3(2x+1)=2

3212●õ=5

Àëãàøêû 6 ìóøå êîñûíäûñû)

3212●–72 |y=ctg³2x π/12|

Ã

32121●õ+1

32121●1/2õ²–õ+Ñ

32121●4/3 x/1-x

32121●5π/12

321211●1/√10

3212131●13/6

32121314312223●√521

321216421●–4,5; 1

32122●2,5

3212213●30

32122131●–1/3; 4.

321222●3a-2/2a²

32122323432●(1;2)

32124323●√113

32128244●a+2

3213●[0;1)U(1;3]

3213●x*(–3;0)U(0;3)

321302125●π/4

Ãðàäóñ

321311●1.

321312●(1;+∞)

32132●416

32132137●416

3213223●1.

Íàéá)

321322478217●(3;∞)

3213231●2

3213233102350●5

32133●5/12

321332●π

321350●1

32135135●2a/a²–1

321361321●1

3214●85. |x³+x²+x+1, ïðè õ=4|

3214●(-1;-√3; 3+2√

32141●5

3214160●2; 2 2/3

321431●Ø |{log3(x–2)>1 log4(x+3)<1|

321435●7

3214832302225●2.

3215●–1/2 5√ó |(–32ó)–1/5|

3215●17ñì (áîëüø ñòîð ïàðàë–ìà)

3215●õ²+ó²+6õ–4ó–12=0

32150●(–∞;0]U[5;+∞).

321518●3(õ+3)(õ+2)

3215235131251374●[1,3; 2,5]

3216● (x-1)(x+7)

3216●0,8

32160140100●4 32•sin160•sin140•sin100

32162414●–1/3

Ñì

Áèèêòèãèí òàáûíûç)

3217●1,7 {3–2|x–1,7|

3218●–3 1/3;2 |õ+3|+2õ–1|=8

3218●549

3218●õ1=–3 1/3; 2

3218●õ1=–3 1/3; õ2=2 |õ+3|+|2õ–1|=8

3218●x=–3*1/3 x=2

3218●4π/3 |y=cos(3/2x–18º)|

32180●íåò êîðíåé |3õ²–õ+18=0|

32181510●60; 69; 79

N

321827●3(a-3)²

3219●(–∞;–1)

32192●–1/3a²b²c²

32193●748.

322●(0;1]U[2;3)

322●2/3 |√3x–2<√x+2|

322●64π ñì². {Îïð ïëîù êðóãà îïèñ îêîëî êâàä)

X3-2x)(3x2-2)

322●à(a²–2a–1) ( à³–2ಖà )

322●2 1/9; 11

322●(–1)n+13π/4+3πn,n*Z |sin(–x/3)=√2/2|

322●3√2/8 {f(x)=sin³ x/2, f(π/2).

322●–3/2ctg2x+C | y(x)=3/sin²2x |

322●(4;+∞) log(x–3)(x+2)>log(x+2)

Å2

322●1/2e4(e2–1) |3 ∫ 2 e2xdx|

322●1/4 |√õ=3/√õ+2–√õ+2|

322●õmax=–1

322●(–2;1)

322●1 è 9 | y=3|x| [–2; 2] |

322●2 {3sin²α +cos2α

Õ3-2õ)(3õ2-2)

322●3√2/8

322●–6. |ó=(õ-3)²–àõ–2à|

322●512 (log3(log2x)=2 x=?)

Êã.

Cos2

322●x>0

322●1/a+b

322●–6

322●2/3 {√3x–2<√x+2

322●0

322●π/2n n*Z

322●π/2k,k*Z |sinx+sin3x=2sin2x|

322●π/4+πn,n*Z cosx=cos3x+2sin2x

322●cos² α

322●9x²+12x+4 |(3x+2)²|

322●Íå÷åòíàÿ | f(x)=3cosx–x²x–2sinx |

3220●3

Êã (Ïðåñíàÿ âîäà)

Íåò äåéñòâò êîðíåé..

3220●π/4(2n+1),π/2(4k+1),k,n*Z

3221●π/3+πn≤x≤π+πn, n*Z |√3sin2x+cos2x≤1|

3221●–2<x<2.

3221●[1/3; ∞) |y=3x²–2x+1 îñó àðàëûãû|

32210●{–1;1/3} |–3õ²–2õ+1=0|

32210●π/4+π/2n, n*Z

32211●8

32212●4

32212●(2;1),(–2;5)

322122●3a-2/2a²

322129●–2

32213122213222●0.

3221314●–0.8

3221535135171234●[1.3; 2.5]

32219225●1/8; 8.

3222●2 |ó=3sin²x+2cos²x|

3222●π/2+πn;n*Z π/6+πê,k*Z

3222π/12 |a=arcsin √3/2 b=arcsin(–√2/2)?|

3222●(-∞;-3]U[1;2) {y=√3–2x–x²/x–2

32220●4;16

322211●0

322212●141

3222122●3.

Ó-2õ

32222●à²/à–â

A

322222●1/2

32222202●4.

3222223●22/13

322221342●2,3,4

3222214●3/16

3222214●7/5

322223132●4√5

U(4;8)

32223●tg |sin(3/2π+α)ctg(π/2–α)+sin(π–α)+ctg(3π/2–α)|

32223●8 1/3 |3 ∫ –2(2x²–3)dx|

322231●π

322239●(0;–7)

322250415●–73,2.

32225223331●47

3222622●60.

3223●(a²+b²)(a–b)

3223●2x³+5/2x²–6x+C f(x)=(3x–2)(2x+3)

3223●–6 {y=–3/2x+â ïðîõ ÷åðåç ò(–2;–3)

3223●30°

3223●õ²ó-6õ³

3223●[3;5] |ó=3+2sin² 3x|

3223●–3√3

3223●x²y–6x³

3223●y≠0, y≠0,25

3223●(b–a)(3+ab).

Õó)m

32230●(–2/3; 1,5)

32230●(2/3; 1,5) |–(3õ–2)(2õ–3)>0.|

32231●√õ³+1+Ñ

3223175●2

322310722●x=25, y=16

322313123●25/3

322316●√6

32232●tg α

32232128227●8

322322780125120●–6,25.

32232323●3√6/2

32232325●(8;2)

32233●[1;∞)

322332132●[-1;∞)

32233626●6,2

322341332●5.

3223439●(–2; 2)

32235521●(0;-1)

X-2y)(x-2y-1)

322360●5

322360●–5 | log3(x–2)/x²–36>0 |

322360●7 (log(x-2)/x2–36>0)

32238●3b³√a²b²

3223827●27/26.

3224●F(x)=x3/3+2x2-7

3224●81à8/b8c4 (3a²/b²c)4

3224●(–2;+∞) |ó=3õ–2lg(2x+4)|

Ì.

32242439●x²+5x+6/6.

322427132●10.

32244641●1

3225●[0;1]

3225●2

Êì

32251●b=–7

32251●–7 (ó=3õ+â ó=2õ²–5õ+1)

32250●1 2/3;–1

322505643930●80

32256200●x(2y+3)/x+1

32251●b=-7

3225251●7,75

32253260●1

3225544●(–1;1)

32261434●x<0

322651●2

X

3227●–1

3227●x>1 ( 3x+2>27 )

Íåò ðåøåíèÿ

32271●(3; 3,5)U(4; +∞)

3227233630●–√3;√3

3227233630●Íåò êîðíåé |3m²–27/m•2m/m+3+36m/m–3=0|

32272532225●5

3227329●(2; 1)

322888●√3.

322918●a–2

32292●3b/m–n

Õ

32299●a=2,b=3.

323●–3/2ctg2x+C

323●–3/õ²

323●0 |f(x)=x³/x²–3|

323●1

323●2 (y=–2/3x+3)

323●[–2; –1] | a→{m+3;m;2} íå ïð 3 |

323●ctg3x+C

323●16π | ïëîù ïîâ øàðà 32π/3 |

323●–24 | 3•(–2)³ |

323●25

Sin2(2-3x)

323●0; 1

323●2√2cm (ðàññò îò íåêò òî÷ê ïðàâ ∆)

323●50,24

Sin2 (2-3õ) cos(2-3õ)

323●F(x)=x4/8-sin3x/3+C

323●π/2ê,ê*Z |sinx+sin3x=2sin2x|

323●ó≥3 | ó=3+õ2/3 |

3230●–π/3+2πn; n*Z ( 3tg x/2+√3=0 )

323010●60 êì/÷àñ, 40 êì/÷àñ.

3231●(–1; 1–√5/2; 1+√5/2)

323112●õ<–5/3

323180●–1 |–3x²+3x+18>0|

3232●4 |cosα+3sin²α+3cos²α|

3232●π/2. |arccos√3/2–arcsin(–√3/2).|

3232●[–π/3+2πn; π/3+2πn]U

[2π/3+2πn;4π/3+2πn],n*Z |–√3/2≤sint≤√3/2|

3232●õ²–6õ+7=0

3232●×åòíàÿ |ó=³√õ–2–³√õ+2|

3232●6

32320●{±2π/2+2kπ,π+2kπ,k*Z}

Íåò ðåøåíèé.

3232103232322●3/2;1

32321212121221212●à+b

323213●87

323222●2ñì ³ (íàéä îáõåì ïàðàë–äà)

323222●6cm³

323222322●2/a+b

32322232222●2/a+b

32322296●(3;–1),(–3;1)

323223●2;–1

32322313●3

323232●6 3+/2 3+/2 3+/2...

323232●0

3232323210322●2/3

323234●[–π/6+π/2ê; π/4+π/2ê], ê*Z

323234●1/3√48

323234326●7x²/(2x–1)(2y+3)

3232343216●3x²/(2x–1)(2y+3)

32323682●27a²

32324●9a4b6/m8

32324●(–∞;1) |3õ+2–3õ<24|

32325●4

32325●õ<1,5; õ>3,3

3233●√3/6

32330●3

32331●1 3/26

Íåò êîðíåé

323316●20

3233216●9.

32332●–2;–1;3;–3

32332●16

323323●0 |ctg(π–3)cos(π/2+3)+sin(3π/2+3)|

323324422229393●1/6

3233337●3

32334059●6π

323360●3

3234●(1;2)

3234●3/20

32340440●(3;4].

32342●9à4b6/m8

32342●[14/11;∞)

323420218●8

323423●(15; –16)

32343●π/2

323436●1.

32343638310434649412415●–9/8

3234820●–13

323511●(–∞; 2/3) |{3õ<2 3x+5<11|

32351335●2

323521311●1,2

3235231●1,2

32352311●1,2.

32353266●0,5.

3235381●1.

3236●4 |√3õ·√2õ=36|

3236●19 |3√õ2–3√õ=6|

Äëèíà äèàã)

Íàéäèòå òðåòüþ ñòîðîíó)

3236108●4,5.

323624●[–1; 2)

3236946●2ó²/(3õ–2)(2ó+3)

3237530●(1;–1)

3239●27–b³

3239●(–3;6);(10;–7) |{ó+õ=3 ó²–õ=39|

32390●2

32390●x<1 | 3+2•3x–9x>0 |

323927●(a²–3a+9)(a+3+x)

323932318●3

32396183275322354●0,4

Ì, 8ì (äëèíà è øèðèíà)

324●96√3ñì².

324●(3;∞)–{4} |f(x)=logx–3(x²–4)|

324●4 |g(x)=√x–3(x+2), g(4)=?|

324●4(3+x–x²)³(1–2x) |f(x)=(3+x–x²)4|

324●–2 (ó=–3õ+b B(–2;4). Íàéäèòå çíà÷ b)

324●2/3

324●3/x+4. |3x/x²+4x|

Îò À äî îñè ÎY è îò òî÷êè À äî XOZ)

324●96√3ñì ²

324●[0;7) |√x+3=√2x–4|

324●12

324●9/4 |(bn)â3 ðàçà. Íàéä îòíø (b2/b4)|

324●x3/4 {³√õ²·4√õ

324●[0 ;3]

X

324●(–∞;–2)U(2;+∞) | ó=log3(x²–4) |

3240●(0;1/9)U(9;+∞) |log3²x–4>0|

3240●(-∞; ∞)

3240●1 1/3 |3õ²–4õ+ñ=0|

324052●12 ì/ñ

3241●\–2•–––•2////õ(òî÷.çàêð) |3x²–4≥1|

3241●(–∞; ∞) |3(x–2)+x<4x+1|

32410●(–3;–2)U(1;∞)

Íåò ðåøåíèÿ

32416052●2.

3242●[23;∞)

3242●–2

3242●–2 {3m+n–m², m=4, n=2

3242●(–∞;∞) |ó=√3õ²–4õ+2|

Ì;4ì

3242 ●[2/3;∞)

Íàéä äèàã)

Ì;4ì

Ì

3242●13/6

32420●–4√2a²b

324205●1.

32426●a→{3;–2; α} è b→{ β; 4; 2}

3242152●1

Áàñûíà äåéí àðà êàøûêòûê)

324220●5 {(õ–3)²+(ó+4)²=20

324222●(–5;3)

32422321●0

32424●7;–1

324245●π

3242620078●–13√2

Íàéäèòå 6 ÷ëåí ïðîãð)

3243●4√à+³√b

32431381●1

324351●[–3;10) |³√24+√x–³√5+√x=1|

Log62.

32445692220●–2

3245●18√2π ñì æ/å 18√2π ñì

3245●5 3≤|x²–4|≤5

3245321198●0,5

Ãð

32494●0

325●√ê²+n²+2kn cosα/sinα (äë áîê ñòîð)

325●1,6

Äëèíà áîêîâûõ ñòîðîí)

325●[3;+∞) | y=√x–3+log2(x+5) |

Õ-5)2

325●450.

325●45°

325●2/x ln3 {f(x)=log√3 25x

3250●arctg5+πk,k*Z. |cos(3π/2+x)–5cosx=0|

3250●16.

3250●51 |cos(x+π/3)+sin(2π/5–x)=0|

32503045●2,95

32503543686●³√2

32509045●2,95.

3251●(-∞; -2,5)U(1; ∞)

Îå ñëàãàåìîå)

3251●–2 | 3õ²–5, ãäå õ=1 |

32510099475●800.

3251112●1

3251132●35

32512●–8

325132●–17

325143301●√19

3252●1 |3õ–2,5|≤2

3252●–2;–1;–2/3;1/3

32520●5/3

325215●√2/5 | 3x²+5y²=15|

32522●7

3252252915●1

32524●π

32524222●–3; 1,6

325252915●1.

Ñì

325262●19b–10

N

3253●6õ+5

32530●5/3

325303●28

32532●2 |3√(õ2–õ–5)3=õ–2|

325321●(5;6]

32533●28

325336●2

3254●1;–1·2/3

32540●x<1 èëè 3≤x≤4 |–x+3/x²–5x+4≥0|

3255381●1.

32564●6–à/9

Log62

3258●34 / (5õ+8)2

32580●–5/3

3258●34/(5x+8)²

Êã

Êã êóïèëè

326●ln(x+2)+C

X

326●(6; 9)

326●(6; 9) |{log3x<2 x>6|

Ãà.

326●√3(õ–1)/√õ²-2õ

3260●–1

3261●y=6x+1

32613244●x{0

32614●3 3/4êã, 2 1/2êã.

3263●–6x∆y–(y+∆y)³+y³

32630●1

32632321●0.

326326●(3sin8α)/4

326327●m+3

326515●1,7.

3267●õmin=–1

Íåò ðåøåíèé

3268111●–20.

326843582●0.

3269●1/(a–3) |(a–3)/(a²–6a+9)|

32690●2

327●72ñì² (ïëîù ïîëí ïîâåðõ ôèã âðàùåíèÿ)

327●72

Ñì

327●9 (äëèí âûñîò ïðÿì ∆)

327●õ>–4/3 3–2x<7+x

327●(x–3)(x²+3x+9) |x³–27|

327●(x+3)(x²–3x+9) |x³+27|

32701630●–63

32710021233●(7/11; 2/3]

327103330●–6

32719310●2

3272440●(–∞;2)U(2;3]

32725131●0; 5.

32726929239●m+3

3273239●54/x–3

327326●m–3

327327●–6.

327331●10. |³√2x+7=³√3(x–1)|

32739●(–∞;0)

32740●–1; –1 1/3.

327431●(1,5; 3]

3275221●5

328●x>1,2 |f(x)=kx+3 D(–2;8)|

328●à1=12, d=4

A)-40 b)-3

3281●–4,5

32812●x3–ctgx+8x+C |f(x)=3x2+8+1/sin²x|

328130●(25; 36)

3282●5/18 |√32=82õ|

32824●9,4

328240●4

32832●b6c4/64a6

329●(-9;-9/4),(4;1)

Êîðíåé íåò

329018030●0

32912223632●4a²c²/9b10

329222●–4

329243●(5;3)

32927●3;–1

3295●(–4;9), (0;5)

32960●2 {–3õ²+6õ+9>0

3296236●(5;3)

329803452●4,5.

3299●{–1; 3;–3}

3299456●–4

33●à*(–∞;–3) | ó=õ•å–õ[a–3;à+3] |

33●[–3π/2+6πn; 3π/2+6πn],n*Z |y=3+√cos x/3|

33●V=√6/4

33●õ1=–3;õ2=3;õmin=x1,xmax=x2

33●1 ñì (ìåäèàíû ∆)

33●(x+yn)(x2n–xnyn +y2n). ( x3n+y3n )

33●2x/x²–9 |f(x)=ln(x+3)•(x–3)|

33●3x•ln3–1/xln3

33●3n–n³/2 |sin³x+cos³x, åñëè sinx+cosx=n|

33●x(y²–9x²) {x(y+3x)(y–3x)

33●(–∞;–1]U[1;+∞) |ïðîì âîçð f(x)=x³–3x|

33●(b+3)(a+1)

33●4cos4x {y(x)=sinxcos3x+cosxsin3x.

33●å3õ+Ñ f(x)=3e3x

33●(n-k)(c+3)

33●1/2 sin6x {sin3x•cos3x

X-y)(3-a)

33●[–1; 1] |ó(õ)=õ³–3õ.|

33●(–1; 1) {ó=õ³–3õ

Ñì (áîê ïîâ êîíóñà)

33●0

33●0.5sin2α

33●0.5sinα

33●1

33●1–sinxcosx | sin³x+cos³x/sinx+cosx |

33●1/2sin2α

33●1/2sin 2x |sinx•cos³x+sin³x•cosx=?|

33●1/2 sin6x |sin3x•cos3x|

33●1-1/2sin2α

33●30° |arctg(√3/3)|

33●–30º |arctg(–3/3)|

33●3cos(3x+π/3) |f(x)=sin(3x+π/3|

33●3cos6x |f(x)=sin3x•cos3x. f(x)|

33●–9/e³

33●a)–3;3 b)íåò c)(–∞;0)(0;∞) |ó=3/õ–õ/3

à)íóëè á)ïðîì âîçð â)ïðîì óáûâàíèÿ|

33●–1/3max; x=1/3min

33●õ=–1/3 òî÷êà max; õ=1/3 òî÷êà min |y=x³–x/3|

33●πn,n*Z | tg(x–π/3)=–√3|

33●√3 cosα sin(π/3+α)+sin(π/3–α)

33●sin4α. |sinα•cos3α+cosα•sin3α|

33●1200

Îáúåì ïèðàìèäû ðàâåí)

33●√3 cosα

33●27x³+27x²y+9xy²+y³

33123144●1200

33●–3π/2+πn; 3π/2+6πn

33●x1=–3,x2=3xmin=x1,xmax=x2

33●(–1;3)

33●(–∞;–1]U[1; ∞)

33●(π/3+πn, π+πn),n*Z {ctgx<√3/3

33●(π/9+nπ/3; π/6+nπ/3),n*Z {tg3x>√3

33●–π/6+2πn,–π/12+2πm,n,m*Z |cosx–√3sinx=√3|

33●[–3π/2+6πn; 3π/2+6πn]

33●0 { (lgtg3+lgctg3)

33●0 |f(x)=cos(x+3), x=–3|

33●0; 3/10 |√õ·√3–õ=3õ

33●1 |√3/3|

33●3 |3+√õ–3=õ|

33●–30 |arctg(√3/3)|

33●3cos6x (¦(x)=sin3x?cos3x)

33●3õ2-3/2√õ3-3õ

33●3x²(ex²+1) |y(x)=ex³+x³|

33●4;3 3+√x–3=x

33●–3/4ños2x/3+C |f(x)=sin x/3·cos x/3|

33●√3cosa |sina+cosb|

33●sina |sina-sinb|

33●a²+ab+b² |(a³–b³)/(a–b)|

33●a+√ax+x ãäå à≥0, õ≥0, à≠0 (√à³–√õ³):(√à–√õ)

33●√7

33●√m–√3n.

33●√6/4 (â îñí ∆ ïèðäû FABC)

33●1 1/4 |(x3–3x)dx|

33●(π/3+πn; π+πn),n*Z |ctgx<√3/3|

33●πn,n*Z |tg(x–π/3)=–√3|

33●9–a²

Àñàí äүêåííåí åê³ ê³òàï ñàòûï àëäû Æ:33,1/3%

Òîíí ñîñò)

330●3π/2

330●1/2 |sin(–330°)|

330●π/6+πn; n*Z |3tgx–√3=0|

330●–π/6+πn≤x<π/2+πn,n*Z |3tgx+√3≥0|

330●2(2–√3) (îáúåì ïðàâ 4–íîé ïèðàìèäû)

330●π/9+π/3ê,k*Z |tg3x–√3=0|

Ê

330●3π/4 cm².

Ñì (S ñåêòîðà)

330●ì→={3√3/2, 3/2}

3302520125●10.

33025325●24

330259●19

3303●10°

3303●1 √3x–3=0,(3)

331●(2;1)(5;–2) {õ+ó=3 3|ó|–õ=1

331●π/4(1+2ê),k*Z |cos3xcosx–sin3xsinx=–1|

331●3√3. (log3(log3x)=–1)

331●31√13 cm²

331●3√13 ñì² (ïëîù áîê ïîâåðõ ïèðàìèäû)

331●√3

331●(–3;6) |õ–3/√õ+3<1|

Ê

3310●0 | õ•õ•ó•ó–(3•3•õ•õ•ó•ó+õ•õ•ó•ó):10 |

33102●(0;2)(2;0)

331011●11

3311●y²+8

3311●1 (ñóììà õ+ó)

3311●–2 |f(x)=3x³+1, f(–1)?|

3311220243●1/5

3312●–π/12+π/3n,n*Z

331222123●x≥4

Ìëí. ò.

331270●x*(–∞;–2)U(0;+∞)

33129●(27;9)

331291●16

Íàéäèòå ïëîù êâàäðàòà ÀÂÑD)

33132131●(2;1)

331323327●(–8;–1),(1;8)

3313233360●2

33132829502●3; 10

331333●(8;1)

331332211●x11–1/x11

3313333●2 |3√õ–3√ó=1, 3√õ+3√ó=3, íàéäèòå 3√õó|

33136●(0;27)

3314●–π/8–πn/2 n*Z

3314271915180●1.

3315●4

331538●12

33154●(6;2)

3316243312●3.

3318●7 |{³√õ+³√ó=1 õó=–8|

3318227622542●x(x–3)/2y(x+3)

33191●–2;3

331910●–2; 3

332●1ñì (Íàéäèòå ìåäèàíó ∆–êà)

332●2π |y=sin³x+cos³2x?|

332●2π/3

N)(m-n)

332●P(x)=(x+1)²(x-2) |Ð(õ)=õ³–3õ–2|

332●[–5;1)U[3;5)

332●0 |arcsin(sin π/3)+arcsin(–√3/2)|

332●–2 5/9

332●cos(x/3-π/2)

332●π/12+2πn/3; n*z |sin3x+cos3x=√2|

332●–π/2+6πn<x<π/2+6πn,n*Z |cos x/3>√3/2|

332●³√27m²n/mn

X

33205625●5 lg√x–3+lg√x+3=2–0,5 lg625

33205625●–5; 5

3321●[3;+∞)

3321●–1 |3:3õ+2=1|

33212●(2;1);(–2; 5)

33212●(–2; 5);(2;1) |{õ+ó=3 õ³+õ²ó=12|

332121●3√3x²–8x

3321223●1/2tg(2x–π/3)

3321227191505240●1

332132829502●3; 10.

33218240●õ=–1+√7.

3321860●x=1/3.

3322●1.

3322●[-3;1]

3322●3/a–b

3322●5x4–6x²+6x

33220●x=(–1)k π/4+πk k*Z

3322101●7

33221250●–2;6

33222●1

33222●(a+b–2ab)(a²–ab+b²)

332222●x–y/x+y

3322216●(2;0)

3322222326..●3

33222223263511222412●3.

332222331●11xy²

B

332223●2;–1 |f(x)=–x³/x+x²/x+2x–3|

3322239●(0;–7)

332236●–4cos x/2+1/2sin6x+3√3

332242●28cm/c

33225414●1

33227●[–27; 27]

33227329●(2;1)

3323●2. |(ctg α/3–tg α/2) tg 2α/3.|

3323●–7/11.

33230●3

3323121999●–1

33231219992000●–1

Sup2;

33232109●1/2

3323214●3/2.

3323222●4.

3323222●–24 |ó=õ³–3õ²+3õ+2,õ*[–2;2]|

33232320●0

332323..●2à³+6àb²

3323232323222●õ–ó.

332323332323●2a³+6ab²

33239332232632723●1

3323933232332713●1.

3324233241●2 14/17

332432●–2; 1,5

332433243●41/8

33244●[27;+∞) |log3x+log3(x–24)≥4|

332452●4

3325●3x–1/4x4+5

332513●14.

33253●28

Ê

33253●–3

33265●[1;6)

332662●3

33271●2

33271●x4/4–x³+7/2x²–x+C

33273312●(2;1) (1;2)

3328●3x²+6x+1

33282●5/18

33292●1;9

33294●xmax=–1, xmin=3

3329481●õ8–38

333●π/2+πn,n*Z {√3ctg(π/3–x)=–3

333●213

333●121√3ñì² (Íàéäèòå ïëîùàäü ∆)

Ñì (äëèíà îêðóæíîñòè)

Ñì

333●π/12+π/3k,k*Z (3tg3x=3)

333●2/3 f(x)=x/3–3/x, f(3)?

333●√3/2 |tg(arcctg*√3/3))+cos(arcctg(–√3)|

333●3 √3√3√3….

333●3+3√3.

333●3ln3·cos3x·3sin3x–3 {u(x)=3sin3x–3

333●(a–b)(b–c)(a–c)(a+b+c)

333●y/x

Ñì (Íàéòè ðàäèóñ îêðóæ)

3330●–1

3330●–2 f(x)=e–3x–e3x/3, f(0)

3330●π/2+3πê, ê*Z

3330●π/9+πk/3 3tg(3x–π/3)=0

33310●13

333111311161119●11/12

33315151511251●3/2

3332●24/ln3+3ln3+4

3332●29 |m³+n³–mn, m=3, n=2|

333211121112●8

333212325234●2,5.

Frac14;)

333223●a–b/a+b

3332232●(0;2)

3332311332●1

33323437294915●(3;∞)

33324●–1;0;1;3

A4

3333●90°

3333●√3 |log33x•logx3=3|

33330●–π/12+πn/3<x<π/12+πn/3,n*Z

|sin3x–cos3x/sin3x+cos3x<0|

3333103●–6;6

33332●1/2

33332222●m–n/m+n

333323●3/2

333324●±π/8+πn,n*Z

3333313●6;–6

333335●(64;1)

333345●1

3334●(–2;3)(2;–3)

33344●x=4

Íàéá îñòð óãîë)

333632312●(2; 3)

Ñì. (íàéì îòð)

33371●–3 |³√õ³–37=õ–1|

Ñì (Âû÷ íàéìåíüø îòð)

3339992713●3/8

33410●(π/3+πn;–2π/3–πn) {3x+3y=–π 4cosx•cosy+1=0

3341152552701180●64,5

33411812●1/27

334133●–61;30

X7y5

3342●(–∞;–3/2)

334245101●5.

33428●(27;1),(1;27)

3343●1,25

3343●66 |A=x³y+xy³, x–y=4, xy=3|

33430●7π/36+π/3k,k*Z

33432●(π/2+2πn; π–2πn),n*Z

334331●–61; 30

33434●π/2+πn; π–2πn),n*Z

Íàéòè çíàìåíàòåëü)

33441●(–5;11)

3345131●x=–2 |3x–3/4–5x–1/3>1|

33452●9x²–9x

334540●π/2+πn; ±π/6+πn

33493●3 13/24

33496813●3.

335●xmax=–1: xmin=1

XÝ(-5;-2)

335●9x²+5x

33511●(5/3;+∞)

335141559●õ=2·1/7

3352●(–5; –3) |3 log3(x+5)<2|

33522●–27 |³√35–x²=2|

335250●(–∞;–3)U(2,5;5) {(x+3)³(5-x)/2x–5>0

3353●π,π,3π.

3353●[6πn;4π+6πn], n*Z |cos(x/3+π/3)≤cos 5π/3|

33530●24

Ìëí òîíí

33535●(8;27),(27;8) |{3√õ+3√ó=5 õ+ó=35|

33535●1

33539●7.

335531553774912●7.

336●2π/3

336●[5;7]

336●√3 |sinα+sin3α/cosα+cos3α,α =π/6|

336●27

3361●y=18 x=3

33612●30/b {3a–36/12b–ab

B

33631011808121638●3 5/8

33632227●(1;1)

336512●367

336512●36 {³√x+³√y=6 xy=512

33652220●(4;1)(1;4)

337●49.

33703380●(–1;2),(2;–1)

337338●(–1;2),(2;–1)

X15y8

3382●2

3383●íåò êîðíåé |√3+x√3=8+x√3|

338338●1

339●2

Åí êèøè)

3392●(1;2),(2;1)

3393●–1/3. |3à=³√9/3|

3393333●2sin³2α

Ëþáîå ÷èñëî

339427●3 23/12

34●0,0748

34●[0; 8] |³√x=√x–4|

34●[0;∞) | ó=õ34 |

34●(–∞;–2)U(0;2) {x³<4x

34●1 |√x, ³√x, 4√x|

34●14 (ïåðèì ïðÿì–êà ðàâåí)

34●16π cì³ (Íàéäèòå îáúåì òåëà)

×àñîâ

× (ïëûòü ïëîò èç À â Â)

Äíåé (âòîðîé ðàá)

34●1/3(õ+4) | f(x)=ln³√x+4 |

34●a*[3;∞) | ó=õ•åõ [a–3;à+4] |

34●3/4 |cos(π–α), åñëè cosα=–3/4|

34●3/4 | sin(π–arcsin 3/4) |

34●4√b–a√a

34●k=3, b=ëþáîå |Ïàðàë ãðàô ôóíê y=3x–4|

34●y=x/3+4/3 ( y(x)=3x–4 )

Cm (ðàññò îò ýò òî÷êè äî åãî âåðøèí)

S êâàäðàòà)

34●9/16 ñì² (ïëîù êâàäð)

34●9,6π ñì³

Ñì (ðàññò âïèñ è îïèñ îêð)

34●(4;∞) f(x)=log3(x–4)

34●(–∞;–3]

34●(–∞;-7)U(1;+∞) {|x+3|>4

34●[–7;1] y=arcsin x+3/4

34●[1; 7] |3–4sinα|

34●15√3/4 ñì³ (Íàéäèòå îáúåì ïðèçìû)

Äëèíû îòðåçêîâ)

34●16π

Ñì (Íàéäèòå ïåðèì ðîìáà ñî ñòîð)

34●–3/4

34●4/(õ+3)

34●3 |3tg π/4|

34●4sin(3–4x) f(x)=cos(3–4x)

34●5 1/3cm³ (îáúåì ïðàâ 4–óã ïèðàì)

S ïðàâ 4-óãîëüí ïèðäû)

34●5 í/å √7

34●6,25π (ïëîù îïèñ îêîëî ∆ êðóãà)

34●cosa/cos2a

34●x≤0 {y(x)=√(x–3(x–4)

34●x≤3 x≥4

34●x³+y²=25

Ì

34●–12 |a*(–3)*d*4|

U(0;2)

340●π/2+kπ/4 (3cos4x=0)

340212●arccos(2/15)

340220●(0;2)

3402815●2400 ñì³

3403●{-9;12;0}

34050●–13

340510405080●3.

34062518356371203580108●0

341●a/a²+1

341●x 3/8. |³√x/4√x–1|

341●(πn;–π/2+2πê)n,n*Z | sin³x–cos4x=–1 |

3410●3; 4

3410●23,1/3

3410281632216444●à+4

34112572●[–3; (–1)n+1 π/2+πn],n*Z

3412●0; 1 |(x+3)(x–4)=–12|

3412●(–1;1)

3412●1) 4; 2) 3

3412●7àb–1/à2

À

341200●(x–1)²+(y–1)²=1

341212●2√3/3

3412141414411●2

3412229●(–3;–3),(4; 0,5)

Ordm;

34123412●5

3412545●(1;2) {3/õ–4/ó=1, 2/õ+5/ó=4,5

Êã

3413●(–π/12+πn/3;5π/36+πn/3),n*Z {tg(3x–π/4)<1/√3

3413●(–Ï/12+2Ïn/3; 5Ï/36+Ïn);

3413●õ>4 1/3

Æàóàáû æîê

341322●2(3√2–1)

34133436●(100; 10)

34134●[4; ∞)

Íèêåëü)

34134●0,6; 0,8; 2,6

Êã, 0,8êã, 2,6êã.

3413926411291●–1/2

341392641291●–1/2

3414●(±π/3+πk+πn;±π/3–πk+πn)n,k*Z

| sinx•siny=3/4 cosx•cosy=1/4 |

34144●4

Ïåðèìåòð)

Îòíîø ÂÑ ê ÀÑ)

3416●64,8

3416324211●(–∞;0]

3417●–1/4. |3•4–1–7º|

Áîëàòûí ñàíäû òàáûíûç)

34192450●(–5; 1/4]

X2,òî÷êà ìàêñèìóì

342●õ=17 |ó=34õ–õ²|

342●17

342●4–√3

342●4x-6/x³

342●–8/3

342●x=2 max

342●–4 ctgx+6√x+C |f(x)=3/√x+4/sin²x |

3420●(π/6+πn; 5π/6+πn),n*Z

3420●[–3;–1)U(1;∞)

3420●(–∞;–3)U(–3;2) |(õ+3)4(õ–2)<0|

3420●21

342003●9

342003●9π

3421●(1 1/3; 5)

34211●2√x+1–3

3421213136●AC¯ è BE¯

342125164●√14

34213●6;0

34214●(–∞;–1 3/4)U(2;∞)

3422●–3

Ò. (äëÿ àâòîìîá ÷àñòåé,ñîñò)

34222●π+2πk; π/3+2πk

3422112●(0;1); (2;–3)

3422210112●6/x+2

342239232●8

3422928●6

3423●3,4,6

342322●–7.

Ñì

3424351625●3

3424431640●1/8;1/2

34245●–1; 1/2

342452●0,7

342462218●3√2

342462218●√2

3425●(–1;3)(7;–1)

Ïëîùàäü )

3425●150 ñì² (ïëîù ∆)

Ñì (×åìó ðàâíà ñóììà äèàãîíàëåé ðîìáà)

È 5

Æóï, ïåðèîäñûç

3425●162

34250●162

3428●0,6 ì, 0,8 ì (ñòîð ïàðàë–ìà)

3428●q=3

342922332●8

342936●(x-4)(x²-9)

343●–12(3–4x)² |f(x)=(3–4x)³|

Sinx

3430●– 0,5.

3430●6 (S ïàðàë–ìà)

3431037●b² 3√b.

3432●±5π/18–π/12+2/3πn,n*Z |cos(3x+π/4)=–√3/2|

3432●–3(4√3–√2)(√3+2)

34323224●17/50

343240●1

343240●0 |õ·³√õ–4³√õ²+4=0|

343240●106 {f(3), f(x)=4x³–2x–40

34332●7/3

Ln(3x-4))

3434●9,12,16

3434●(π/2+π n+πk/2; π/6–π n+π k/2);(π/2+πn+πk/2;

π/6–πn+πk/2)n,k*Z |ñosx•cosy=√3/4 sinx•siny=√3/4 |

34340●õ*(–3;3)

3434170●3

34343434●3

Êã,11êã

Cm è 42cm.

3435323●z<y<x

3435350●2

34362318●48

34363533●–9

34364348●2

344●íåò ðåøåíèé |3sin x/4≥4|

34400●3

3441421112●(1/2; 1)

3442●4 √3x+4+√x–4=2√x

3442●–2 |3π/4 ∫ π/4 dx/cos²x|

3443●õ=0

3443●32x |f(x)=(3+4x)(4x–3)|

Êåç-êåëãåí ñàí

3443●õ=13 (óâåë â 3ðàçà è óâåë 4 áóäåò 43)

3443●24/25

344314●2x4–1

34433223●2 1/2

344344●0.

34435282●4

34437●1/70 (6x5+10x4+5x2)+C

Cm

344644●–3

3448●1; 2; 4; 8; 16

34482●25π ñì² (Îïð ïëîù êðóãà)

345●12 (Íàéäèòå ïåðèìåòð ∆)

×åìó ðàâåí ðàäèóñ øàðà)

345●2(3)√9

345●5√2ñì (äëèí äèàã ïàðàë–äà)

345●6

Cm (ðàäèóñ íîâ øàðà)

345●96π ñì³ {ñðåä àðèô îáúåì 3 øàðîâ)

Êàòåð)

345●2³√9 (÷åìó ðàâåí ðàäèóñ øàðà)

345●144π ñì² (ïëîù ïîâåðõ íîâ øàðà)

345●3õ²+4 | y=x³+4x–5 |

345●2 √9

345●94 cm²

345●94 (S ïðÿìîóã ïàð–äà)

345●72π ñì³

Äíåé, ïÿòíèöà

È 102

34512●63/65 |sin (arctg 3/4+arcctg 5/12)=?|

à (Õëîïîê)

34524●10. (Íàéòè áîëüøóþ ñòîð âòîðîãî ∆)

Cosx

34525●5êì/÷

3453212●9àõ+4

Íàéì)

3454135●4–m/4m–1

34544174●x²

Ñì

3455●132 ñì (Íàéäèòå ïåðèìåòð ∆)

3456●x–12.

3456●(–3; –13) |ó=3õ–4 è ó=5+6õ|

345617122002200102549●0

3456212231119●5/3

3456290●0;1.

3458●2

34580●(0;8),(7;1)

346●√2/4 |sin π/3 cos π/4 tg π/6|

346●30dm² (ïëîù äèàã ñå÷)

Äì

3460●3√3 cm² (ïëîù ∆ ÀÂÑ)

347●21:4 (3b/4=a/7)

3470●(–∞; 2 1/3) |–4/3õ–7>0|

34702●30

34712●3/4ln(3x–7)+√x+C

347532123●10

3476●–2,5.

3480●18

Äåòàëü)

34862154119153●(–2;1)

349●(7)

Êì (êì ïðîåõ âåëîñ çà ïîñëåä ÷àñ)

3494●–2 | log3 log4 9√4 |

34931123250●2,8.

34580●(0;8)(7;1)

34816834816814400●4

Íàéäèòå ìåíüøóþ èç íèõ)

348543●36

348621541199153●(–2;1)

Êì

3494●–2

Îáúåì îáð êîíóñà)

Ì îáðàòèòå â ñì)

Ordm; (Íàéäèòå äðóãîé îñòðûé óãîë)

35●6π cì³ (îáúåì øàð ñåêòîðà)

Ìåòðà (Íàéäèòå âûñîòó)

35●–arctg3,5+k

35●5n+3

35●4/5 sin(arccos 3/5)

35●7/25

35●75 (êîë–âî èãðóø ìàëü÷)

35●252 Ïñì³

35●48√3 ñì² (Îïð ïëîù ðàâíàñòîð ∆)

35●55

35●13,125

35●(21)

35●40

35●(5;+∞) |ó=log3(x–5)|

35●–5/2 { |õ|=–3õ–5

35●–arctg3,5+πk, k*Z ( tgx=–3,5 )

35●[–2;8] {y=3–5cosx

35●[–3; 5] |f(x)=√x+3–√5–x|

35●110° (<BAC=35°)

35●110; 70

35●110º;70º

ÑÊ-íû òàáûíûç)

35●3cosx–5sinx |y(x)=3sinx+5cosx| 35●π/16(2k+1),k*Z | ctg3x=tg5x | 35●π/4k,k*Z {cos3x=cos5x

Êã

35●(5;+∞) {ó=log3(x–5)

35●3x(x5ln3+xln3+5x4+1 |f(x)=3x(x5+x)|

35●òîëüêî âîçðàñòàåò (íà âîçð è óáûâ ó=õ 3/5)

350●–4

350●õ=5

35003912023100773526●0

350616521●75

Ñêîêî ñòð îñò ïðî÷èòàòü)

35083●4,4

351083●4,4

Êì

Ê

351●–8π/15+kπ |–√3ctg(x+π/5)=1|

Êã (ñîëè ñîä â 1 òîííå ìîðñêîé âîäû)

35106880●2

3511●7 õ+√3õ–5=11

35113106211375●878

3511423●√74

351145●7,5

351163435116343511112●9/11.

3512●105 ñì² (Íàéäèòå ïëîù ∆ ÑÂÎ)

3512●289π ñì² (Ïîâåðõíîñòü øàðà, ï, ÷, â, ö, ä, ø)

3512●±π/15–π/15+2πn/5;n*Z

35120●–22. {log3-x 5–1/2=0

35120●–2,2

351213●56/65

35122550●[2; 5]

351233728●3 1/2

35124845●639êì è 42,6êì/÷

35133511●(5;-3)

351412●235,2 ñì²

Frac34;

3515●40

351509●8,55

3515252●a(3a-15ab+5b²)

Êì.

3516239●2

35175●500

×ëåí )

352●6 |3/√5–√2|

352●8

352●7/25

352●(2;1);(–1/3;–6).

352●õ*(–5;–2) f(x)=|3x+5| f(x)=–3

352●(0;∞) ó=õ–3,5+2

352●3; –3/5; 3/25; …

3520●(1; 2,5) |log3x•√5–2x>0|

3520352044294429●tg 15°

35204●7√2/10

3521●8. |3cosα+5sinα/2cosα–sinα, tgα=1|

3521●–2. |3cosα–5sinα/2cosα–sinα, tgα=1|

3521●[–2;–1]

Cm

35210●1050,5

352123532●–1/8.

352125102●0.

Ñì.

Cm (ïåðèì ìåíüø ìíîãîóã)

352140●(60)

352145●7,5

35217115●3,3.

352194●25/16

3522●7/24

Íå ïðèíÿâ ó÷àñò â òóðèñò ñëåòå)

Êîë-âî ó÷åíèê ýòîé øêîëû)

3520●(–3; 2,5) {–õ–3/5–2õ<0

3522●4πn,n*Z |cos3x+cos 5x/2=2|

35225102●0

35231●0.

352313●–24,1

35236125●3õó/ó+1

35239●(x-1)(x+3)²

Òåíãå (ñòàíîê áàãàñûí òàáûíûç)

35242●2

35242●2. |log3(5/2x+4)=2|

352420●(a-5)(a²-4)

352420●(à-5)(à-2)(à+2) |à³–5ಖ4à+20|

35251350●1

35256022240●2

35259●1

È 4

352690●õ*[–5;0].

35270360●–3/4 |ctgα, cosα=3/5; 270º<α<360º|

35273220●(–∞;–1)U(2;3]U{1}

3528●3x²–10x

Êì.

352843220●(-1;1] U(3;+∞)U{2}

352843220●(–∞;–1)U[1;3)U2 |x³–5x²+8x–4/3+2x–x²≤0|

35292●31.

352950●1

353●7 |√3õ–5=õ–3|

353●0,5x6+3sinx+C

35310●3/10

353153●–10–√3/11

3531829●õ=–1

3532●2 |√3x–5=3–√2x|

3532●–4/5 | sinα. åñëè cosα=–3/5,π<α<3π/2 |

3533●6

3533217●1/√41

Ïëîù êâàäð ÀÂÑD)

3535●68

3535●tg3α {sinα+sin3α+sin5α/cosα+cos3α+cos5α

3535108●8

35353●1

353530●2π/5k, k*Z

E3

Õ)2

35402361562251350116164336●1,85

3542●120

3542●1/9 |3sinα–5cosα/4sinα+cosα,åñëè tgα=2|

35420●–17,5

U (2;5)

35423221505112041●4.

3542522●Çà 9/2

35432●3.

3545●1 (cos(x–y)=3/5 sinx=4/5 cosy??)

Êã

X

3545●3x4 |f(x)=3x5–4/5|

Êã

35460●10

3547●12<xy<35

Ñì; 15 ñì.

3548●–16

35480231●2/3;5

3549131●8,5

355●20 êì/÷àñ.

X)4

355120●[–1;–1/5) {3–5õ/5õ+1+2≤0

35513●–63/16

35515●a+1/a

3552●{0; 2}

3552●2√2

Ã

35522●2√2.

3553●–16/(5x+3)²

3553122●ymax=57 ymin=–55

35531122●Óíàèá=57;Óíàèì=–55

355323109●a²

35535353●–4√15

3554●20cm. (áîëüø ñòîð ïðÿì–êà)

3555315●3,5

3556●56

35571572822931211894●198.

3558352511●243

Íàéäèòå õ èç ïðîïîðöèè)

Ãà

3560●15, 20

35630●(-1)ê π/15+2π/15ê,ê *Z

35631223●–1/2ctg(2x–π/3)+√3

356323●12.

35633623●36

3564●2 √3–õ=5õ–6/4

3564●5

3565●1/4

Êã.

Ãà

357●9/16

357●9/4

3572●108;35;37

35726●–30

357291441947601●õ>13/3

35757535●–1

3578238●9/10.

Ñðåä àðèô ìåíüø è áîëüø èç óãëîâ)

358●12

35854●3.

359002●5

3590180●–4/5

3592232●(1;–3)

359610●n=20; à1=2.

Ñóììà øåñòè ïåðâûõ ÷ëåí

Îáúåì øàðà)

36●252π ñì³ (Íà ñêîêî îòë îáúåì äâóõ øàðîâ)

Ñì (ãèïîòåí)

36●1,5 {3sin π/6

36●189π ñì³ (Íàéäèòå îáúåì øàðà)

36●200

Áèëåòîâ

36●(–3; 9)

36●12;4êì/÷

36●9

Òûñ,12,15

36●x>2

36●bn=3•(–2)n–1 (ôîðì n–íîãî ÷ëåí ãåîì ïðîãð3;–6)

36●–63

Ñêîêî ñòàðø ëåò)

36●45

36●72° (ABCD–ðîìá <a=36°)

Ñì (Íàéäèòå ãèïîòåíóçó)

Äëèííà ãèïîòåí

36●252π ñì³ (Íàéäèòå îáúåì øàðà)

36●252π cm²

Ordm;

36●36π

36●9 {3<õ<6

Òîãäà åãî ñòîðîíà ðàâíà)

Äíåé

360●√3/2 ñì (√3ñì; óãîë 60° ðàä îïèñ îê ïèð øàðà)

Ñì (ðàä îïèñ îêîëî ïèð øàðà)

360●–π/2+3πk, k*Z

360●750

Ñòóäåíòâî)

360●3 (√3 tg 60º)

360●3

360●3√3/2cm²

360●Da (3/6>0)

3600●3

36012●5/2.

Äíåé

3602288216●1488π ñì³

36024●120; 240

360251425658●5,8.

Äíåé

3604●õ=9äíåé (Áðèãàä ðàá)

Kyn

36047156●4.

3605150●(–2; 3). |{3õ+6>0, 5õ–15<0|

36052●750

36052321●–1,5

36057●150,210.

3610●π/2

Ìàëü÷èêîâ

36100●π/2 (√3ctg(x–π/6)–1=0 (0;π)

36103●3

36117●b=144º D=63º

3618332543●2

ÍÎÄ)

3612●12

Ñì (äëèí ñîñåä ñ íåé ñòîðîíû)

3612●(–∞;-2)U(6;∞)

3612●3(a-2b+4c)

361202420011511402●0,3

36152●18êì/÷; 16êì/÷

362●2/3√3 |π/3 ∫ π/6 dx/cos²x|

362●36π ñì² (ïîâåðõ øàðà âïèñàí â êóá)

362●54√3

362●54√3 ñì².

Ñì (Íàéäèòå ñòîðîíó êâàäðàòà)

362●18√3 ñì (ïåðèìåòð ∆)

362●(1;5]

3621●6

362128●a²+8a+2/a+2

36212283392004●64

362128244●a+2

362144923695●3

36215●18;16

Îïð ãðàä ìåðó öåíòðàëü óãëà)

362153●x=–5 òî÷êà max; õ=1 òî÷êà min

36216●192 ñì² (Íàéäèòå ïëîù ðîìáà)

36218●cos² 18º |cos 36º+sin² 18º|

3622●36 (4islitel 36/22)

362221●(–5/7; –3/7)

36225●324π

36225●36π

Òûñ (Ñêîêî êàæäàÿ ïîëó÷)

3623●–π/3+2πn<x<π+2πn,n*Z

362323●–√3/4

36234●8;12;16

362442●3/x–2y

3625●[0;4]

Òûñ

3625●–π/3+2πn<x<π+2πn,n*Z | 3cos(π/6+x/2)>–√3 |

362515●x=–4.

Òûñ.òåíãå.

362536253625●5

3628●288π ñì²

3628●288π ñì³

3628●10 ñì (ðàâ âûñ áîê ãðàí ïèð–äû)

3629324●3(x-3)/x+2

363●12π cm²

363●18π ñì² { Áîêîâàÿ ïîâåðõ öèëèíäðà

363●–3 |√3–x+√6+x=3|

363●9; 12; 15

363●2πn, n*Z

363●–9sin3x(cos3õ+6)² {y=(cos3x+6)³

363●x/6

K

 14,4ðàçà

à ìûð è 184 ã

36313317●9

3632●(–2π/9+2πn/3; π/3+2πn/3),n*Z

|y=cos(3x–π/6)+√3/2|

C

36321430●–2; 14.

363226●1

3632924●3(x-3)/x+2

3633●(3;0),(5;2) {√õ–ó+3=√6 √õ+ó–3=õ–3

3633217200●–5;–3;±√5;–1

363543●5

3636●à2–6àõ+9õ2–36

× (âåëîñèï è ïåø)

3636●6;36

B

Îïð îáð óñå÷ êîíóñà)

3642245134252●30;24;10,2

36426●7

364422●(-∞;+∞)

Êì (åñëè âðåìÿ óâë â äâîå)

M

3645131313315●1 1/4.

36452372●sin²x

Êã.

36463●a²bc–4

36463000812●20a²bc

36478200●2/3

36481020●36

365●3(√6+√5)

36513●2

365215●1,7

36521762313123●(–2;5]

36531●0

36532202●(4;1),(1;4)

3653314●–4805/2054

366●189

Ñì.

Õîðäàíûí óçûíäûãûí òàáûíûç)

Ñì

Êì.

3663●0

36630410●6√30,4√10,3√6

36651012823●3.

3665101102823●3.

366510123936●24

3672●700

Íîðìà ñîñòàâëÿåò)

3672124 ●700.

3678●3m–4m³ |sin36°, cos78°=m?|

368118●8.

×åìó ðàâåí îñòàòîê)

3688●22/37.

369254●0

3692549125151●0.

37●–10ex/(7+ex)²

Cos7x

37●21x•ln21 y(x)=3x•7x

37●35 (öåë çíà÷ |ÂÑ|)

Äåí áàñkà áàðëûk íàkòû ñàíäàð

×ëåí àðèôì ïðîãð)

37●37°

37●10 | õ–ó+z=3 x+y+z=7 } x, y, Z*Z |

370●(–√7;0;√7)

3709●52,5 %.

371●3/7 ln/7x+1/+c

371081215●115

371153●(7;–5)

37112321113●33

3712●–1 |√3x+7–√x+1=2|

37122●–21cos x/7+1/2tg2x+C

371221118●5

37125●225√3 |Îïð ïëîù ÷åòûðåõ òàêèõ ∆|

371541891●9,5.

Êì.

37212●(–1;4)

Ðàçí ÷èñë è çíàì)

37222370●(0; 2]

37225038●2√2

37227227●10–5√7/3

372312●21sin x/7+2/3e 3x–1/2+C

372315●15√3.

3723227346914●6

372372●6 |7/3–√2+7/3+√2|

372415352●x-ëþáîå ÷èñëî x≠–2

372742●7–2√7

3727748●9

37260●74ñì² (ïëîù áîê ïîâåðõ ïèðàì)

37294915●(3; ∞ )

37294915●0,1,2

Log75; 1

37327●2.

3735●144 π ñì² (îïð ïëîù êðóãà)

37377373●õ=1

37414313264●3,02.

37432●25

37458153715845●√2

375●10

375●120äì²

375●30 dm² (ïëîù îñåâîãî ñå÷åíèÿ)

A

37511215334212117234922147●8.

3752●18 ñì³

3752122121875234152751121011●6.

375352●351 ñì³.

375353372●2

3752●18 cm²

Ãà

375352●351 cm²

Êì

375353372●2

37535372●2.

37571431●d=1,7, a1=4,1

3760●74ñì² (ïëîù áîê ïîâ ïèðàì)

3764●5;7

Cì,6ñì, (áîê ðåáðî ïèðàì)

3768●1023

37721●m+1/2m

37721●õ+1/õ

3773●34/7.

37737737●7 3/5

Ordm;

378●80

Ordm; (íàéáîëüø óãîë)

3780●{–7, 3}

37837845151545●√2

37858128●60,53.

3792●x/7

38●142º (òóïîé óãîë â ïðÿì–îé òðàïåöèè)

×àñ; 4 ÷àñ.

38●(1; 4),(3; 2).

38●(x–2)•(x²+2x+4)

Íà 1000

3802504●0,25.

38206●3π/4

381●4 1/4 |y=x³, y=8, x=1|

381●4,25 |Âû÷ ïëîù ôèãóðû y=x³, y=8, x=1|

3813●–1/3.

381332●1/6

381401999912004111●3

381416636●8

38206●3π/4

38232392●2.

382341335174378571●4,9

3824●(1; 100) |3 lgx–8/ lgx–2>4|

382433●±9√3

Ïåðâîíà÷ çíà÷ äåë)

38260●24π

3828315●–5≤õ<3

383●–4,8 (õ/õ+3=8/3)

383●6π |f(x)=3•cos(x+π/8)+tg(x–π/3)|

38383827272727●(3/2)9

38388383●1

Ñì (âû÷ ñóììó âñåõ ðåáåð êóáà)

3842112224863442●–3/2(a+2)

38431013●{2;–1)

384386●2.

384386●[2;+∞) |√õ3+8+4√õ3+8=6|

×

Ë (áåíçèí)

Êàêîâà âìåñòèìîñòü åìêîñòè )

3850●11

38512212231119●5/3

×ë ïðîãð)

38527358●35

3860●√5

386812●(p+3)³.

387416●(–3;6)

Ñì.

389183727●174,3

39●[3;12)

39●1290

Êã (ìîëîêà èñïîë)

39●(–∞;3)

39●[2;∞)

39●4

39000006625●2,236500

3902451640621208445●0,5.

391000●13%

39100000●13%

39153139●3

3919●x≤–11 | 3x+9≤1/9 |

392●10

3920●–1/3-π/12-π/3ê..–1/6-π/24+π/6

Sinx

3921322●1

392155252●–1.

392155252●1 |x–êîðåíü óðàâ 3•9õ=2•15õ+5•25õõ²?|

39223●a+3b

39224●6

39224●3 | v=–x³+9x²–24 max íóêòåñè |

3922524●600π cm³

3922924●3(a–2)/a+3

3923394●2

3924●(–∞;-6]U[0;∞)

39255224●600π cm³ (Îáúåì öèëèíäðà)

39260●õ=0

392739●4.

39278123●1/9; 9.

392792●27

39225224●600 π ñì³

3929224●3(a–2a)/a+3

3922924●3(a–2)/a+3

3923394●2

39278123●1/9;9

3931180●x>1

39319●2.

3932622●3x/2y.

K

393333●π3

3933333●√3

3936●q=3 íåìåñå q=1/3

3939623132●Õ–ëþáîå äåéñò ÷èñëî, êðîìå x=2/3

3939623132●õ*R, x≠2/3

39413●4<õ<4 1/3

39413●x>4 1/3 | 3 log9(x–4)>1/√3 |

3942●1°5 42

39511●π/14ê,ê*Z

Êã

3960●3

3961132●–1,6 |à3=9,6; à11=3,2|

39705435369●–2

398●9500π ñì²

4●0 y=sinx+cosx, y(π/4)

Òã

4●x≠2π+4πn,n*Z |y=tg π/4|

4●90 (óãîë ì/ó äèàãîí îñåâ ñå÷)

Ñì (åêèíøè êâàäð êàáûðãàñû)

Ì (ñòîðîíó ïîñëåäíåãî)

Ì (Íàéäèòå ñòîðîíó ïîñëåäíåãî)

4●2 (x+y/y=4, x–y/y îðíåãèíèí ìàíèí òàáûíûç )

4●1/4cos² x/4 (y(x)=tg x/4)

4●y=ex+4 {y=ln(x–4)

Íàéòè ðàäèóñ îïèñ îêð)

4●(40-8)cm²

4●1/cos²x+1/sin²(x-Ï/4)

4●16√2/3

4●16√2/3 cm³

4●16π ñì² (ïëîù îñí)

4●3/8õ–1/4 sin2x+1/32 sin4x+C. |f(x)=sin4x|

4●12√3cì² (òîãäà ïëîù äàííîé òðàïåöè ðàâíà)

4●4π–8cm² (ïëîù ìåíüøåãî ñåãìåíòà)

4●a=12

Ñì

4●5/2

4●5x-3a/4

Ñì. (Íàéäèòå ãèïîòåíóçó)

4●8√2/3cm³

4●x=±(2π–4)+2πn

Äì (ïåðèì òðàïåöèè)

X2

4●10 2/3 | ó=õ(4–õ) |

4●65êì/÷

4●ó=4–õ² |y=√4–x|

4●y=4/x (y=4/x)

4●10,816

4●16; 12

4●1 2/3

Ïèðàìèäà êîëåìè)

Ì

Ì(÷åðåïàõà)

Ìèí

Êì

4●(–∞; –4]U[4; +∞) |ó|≥4

Íàéäèòå ñóììó âñåõ 2íûõ ÷èñåë,êðàò4)

4●E(y)=[–4;4] (y=4 cosx.)

4●4π ñì2

Ðàç (îáúåì óâåë÷)

4●3/5; 2/5

Ðàä îïèñ îêð)

×

4●2x²+sinx+C

4●3

4●4 |–a*(–b)*4c|

4●4ìì (ÀÂ+ÂÑ êîñûíäû âåêòð óçûíä òàá)

4●12; 6

Ì

Ðàç (Åñëè ðàäèóñ öèëèíäðà óâåë â 4 ðàçà)

4●4π

4●(0;4)

4●(4π-8) ñì²

4●(–∞;-4]U[4;∞) ¦ ó=õ+4/õ ¦

4●[1;∞)

4●1/2

4●–1/sin²x+1/cos²(x-π/4) | f(x)=ctgx+tg(x-π/4)|

4●16π ñì²

Ñì

Ìèí.

4●2√2 (øåңáåp ðàäóèñ)

4●2õ²+Ñ |f(x)=4x|

4●2x²+sinx+C |4x+cosx|

4●–4 cosx+C |f(x)=4 sinx|

4●4p (øåíáåð ұçûíä.)

4●4(åõ+1)(åõ+õ)3

4●4/3 (a+b/b, a+b/a=4)

4●5/2

4●5õ–3à/4 ( à+õ/4–à+õ )

4●õ=6 (ðàçí äâóõ ÷èñåë ðàâíà 4)

Ordm; (×åìó ðàâ óã ìåæ äèàã îñåâ ñå÷)

Ó÷ â êëàññå)

40●24

40●140

40●15%

Ò(ðóäû)

40●30

Êâàäðàòà ñîñò

Ordm;

40●8π (Îáúåì òåëà ó=√õ, õ=4, ó=0.)

Ò

40●4 f(x)=e sin4xf(0)

40●π/2+πn,n*Z

Ì

Ordm;

40●π/4+πk,k*Z |sin(x–π/4)=0|

40●π/8+π/4n, n*Z |ños4x=0|

Ðîìá)

Êì (Âåñü ìàðøðóò ñîñò)

È 800

Ordm; (Íàéäèòå íåðàâíûé åìó óãîë)

40●(60.70)

40●1400;400;1400

40●2,5 %. (×èñëî 40 îò ñâ êâàäð ñîñò %)

40●3 | ln4 ∫ 0 exdx |

40●55%

Ordm; (Íàéäèòå òóïîé óãîë ðîìáà)

40●30°

Ãà

Ñóììó ÷åòíûõ ÷èñåë,íå ïðåâîñõîä 40)

Ñóììó íå÷åòíûõ ÷èñåë,íå ïðåâîñ 40)

40●480

40●40°;40°;100°

40●πn,n*Z

40●πR²/9

40●–π/4πk;ê*Z {sin(x+π/4)=0

400008●0,02

400016310021●75

400016481812321●1/20.

4000168●1/8

40003281250412●1/8

Ì; 50ì

400250●450 ì³

400250●450

4002500●450

Áîëüøå ïðîäàíî ãàçåò)

4003250●450

40032503●450ì³

Ò

Ò

Ì è 0,8 ì

4003045●60

40032503●450ì³

Ò

40045●4√2

40047007●0

40048●õ=12%

400500●423

40050094736●423

Ì 0,8ì

40086005●35

401●y=5x–3

4010●43cm²

Ïëîù ñå÷)

4010●Î:43

40101010●√15/4ñì (âûñ ∆–íîé ïèð–äû)

40101012●√15/4 ñì (âûñ ∆–íîé ïèðàìèäû)

Cm

È 500ã

4011●0,4 |ó=õ4, ó=0, õ=1, õ=–1|

4012●96ñì² ( íàéäèòå ïëîù ðîìáà )

Ãðàìì

40122●1/2 |π/4 ∫ 0 (1–2sin²x)dx |

40125●60êì/÷

401253015●60 km/cag

4013715●22,5 êì/÷àñ.

40140●–1 |ctg40ºtg140º|

Ì. (Âûñ çàâîä òðóáû)

40152●30

4016●2sin17º cos 33º |cos40°–sin16°|

Ñì

402●1–π/4 | π/4 ∫ 0 tg²x dx |

402●0,5 | π/4 ∫ 0 sin2 xdx|

402●1/2 |π/4 ∫ 0 sin2 xdx|

4020●1/4+1/2cos20º |cos40°cos20°|

40204020●1/2

Êã

Ln3

4022●15

4023●1/4(√3+1) |π/4 ∫ 0 sin(2x+π/3)dx|

Êã,5êã

4025●4

4025●35%

Cì (òîãäà âûñîòà ðàâíà)

Äíÿ,5äíåé

40252●0,5

40252015●65/3

402525840●540cm²

Ãðàìì

4025360●7200 ñì³

40253602●7200ñì³

Äíÿ, 5äíåé

Õ

Âìåñòå âçÿòûõ)

Ãà

Ãà

Êã, 5êã

4032180●4;6

4032180●(4; 6)

Êã, 5 êã.

Êã, 5êã.

40327075●80

Êì

4037●õ=22,5êì/÷

Îïð ñèíóñ îñòðîãî óãëà)

40401030●36

404040●tg α

Ñì, 12 ñì

Ò

Êì

Kg

4045221102656●51

B

Êì. (äëèíà ìàðøðóòà)

405●√2/2

Ñì

405●√2/2 |cos(–405º)|

Ñì (äëèí áîê ñòîðîíû)

4050●√2 cos5º |sin40°+sin50°|

40508070●–2

Ãå òåí áåëãèñèç ñàíäû òàáûíûç)

40523265642●–3;1

40530●–7

40530303●–7

406●100

Ñì (øèð ïðÿìîóã)

Ñòðàíèö

40605260●10

Êì

×àñ.

406226915382●2

40653265●1,61.

407154●5

4072●700

4075120●700

4075210●700

4080212010●40(3+√7)

Ë.

Òã;571òã;

Êîï;1060òã80 êîïååê

41●1,6 |Âû÷ ïëîù ôèãóðû ó=õ4, ó=1|

41●πk/2,k*Z |cos(4x+π)=–1|

41●(πk;π/4–πk),(π/4+πn;–πn)k,n*Z | {x+y=π/4 tgx+tgy=1 |

41●πn≤õ<π/4+πn,n*Z | tg(x+π/4)≥1 |

41●(–1)ê π/12+πê/2,k*Z

41●(–5;–3)

41●(–∞;+∞)

41●4 2/3 | 4 ∫ 1 √xdx |

41●4 | 4 ∫ 1 √x|

41●8:1

41●2/1

41●8√5cm²

41●äâà |õ4=õ+1|

41●–π/16+π/4n, n*Z |tg4x=–1|

41●íåò êîðíåé √4x=–1

41●(1;3;9) èëè (1/9;7/9;49/9)

410●2;5

Ñì;5ñì (Íàéäèòå äëèíó îòðåçêîâ)

410●π/8+π/2ê, k*Z

410●1. |(x–4)√1–x=0.|

410●1

4100292●{–5;–2; 2; 5}

4101402●20

4102●(–1;2] |ó=4√10+õ–√2–õ|

4102●√10–√2/2. |4/√10+√2.|

4102●10,816

410212●3

41021240●3

41021240●–1 | 4õ–10•2õ–1–24=0 |

4102160●(1;3)

4102320●(-∞; 1/4)

410251●5

4102846●(–2;4)

410290●{–3;–1;1;3}

41031●{10;1}

4104●11,698

41040●2

Áîëüøåå îñí òðàï ðàâíî)

4104220256156●2õ+5/2õ–5

410513●4

41060●6ñì {îïð äëèí âûñ áîê ãðàíè

41062022●–20

410719●145

411●2 | (åí óëêåí lg (4x–1)≤1 |

411●6 ( 4/|õ–1|>1 )

4111●2 2/3

4111●2 2/3 |4 ∫ 1 √x(1–1/x)dx|

4111●1 |(õ;ó) {√õ+√ó=4 1/√õ+1/√ó=1,íàéäèòå ó/õ|

4111240●(4;5)

Tgx

Ñì

4113241312●(3; 11;10)

Çíà÷ ÷èñëà m)

41137112●4+√11

41141287●9

4115●13 1/4

411522567..●1·2/3õ+2·19/20ó.

411652425●(–1; 3]

4117●298 ñì² (îïð ïîëí ïîâåðõ)

Ñì,9ñì

Cm

4118385●1,56

412●(-1)n+12π/3+4πn

412●(–1)n 2π/3+4πn,n*Z |sin x/4=1/2|

412●36(4–π)ñì²

4120●16π

Òåíãå

×àñ.

4121●9 |ó=|õ–4|, îòð [–1;2] îñè Îõ è ïðÿì õ=–1|

4121●arctg(–2±√3)+πk,k*Z

41210●à8=5

412102●1

412118●81/4

412121●2

4121248●60

41213●0,25sin4x–√2x+1+3x+C |f(x)=cos4x–1/√2x+1+3|

41213322●–9,6

412172●2

4122●11 |4 ∫ 1(2x–2/√x)dx|

4122●1 {cos4α(1+tg²α)+sin²α

4122●9,1/2

41221●4.

41221632●{–1;1}.

4123102●{11;–3;4}

4123776211319136●0,25

4124●–2;2

4124●[–6;1)U[3;5]

È 64 (Ñêîêî êðîëèê â êàæ êëåòêå)

4125●12;8 (Äâà òîêàðà (t=4) 12,5)

41250●5•4√2

4125100●5

41253●3;–2

41253●–2;3. |4–x/1,2=5/x+3|

È 8

È 8 ÷àñîâ

×àñ.

Ïëîù òðàïåöèè)

4127●24 m³

412711633422●–1/2ab³c²

4128●4õ²+4

412801725●20π

412853231●(2; 1,5)

4129523911●–6.

413●–π/24+π/4n;n*Z |tg(–4x)=1/√3|

413●íàèì f(x)=4,íàèá f(x)=5

4131212●3 4/7

41316●4√3

4132●–15

4132●18,5 |4 ∫ 1(3x–2/√x)dx|

41321●x>1

413202●4/15

4132360●±2; ±3.

Ñì.

413381●{–23;1}

4134●8õ7+1

41370●(–∞; 1,5)

414●1/√2 ( log4x=–1/4)

414●1/√2

414●(–1; 1/4) (ó=4õè ó=1/4)

Ñì (îïð ïëîù êðóãà)

X7

41419655●1

41423●41a–5/12

414249232●25

4143●–80 (ÍàéòèS4,b1=4,g=–3)

414320●õ=3

41442●(0;1)

Êì (ðàññò îò À äî Â)

Km (Ïóíêò À,Á 4êì; 15êì)

Ì

415●221 |√x+4=15|

415√10+√6/2 √4+√15

X)9

415121012312212●125

4151312●1•1/8

Ì

4151625●1,6

4152321428045●10

Ì

41558425●5/2.

Min

416●12 |4 ∫ 1 6√xdx/x|

416●(x–2)•(x+2)•(x²+4)

4160●x=–2; x=2.

416019327●7

4161●52 (ÌÊ: Ì(–4;1) è Ê(6;–1)

41621●–4;4

41623312●õ>–8/5 {4õ–1/6+2õ+3/3>õ–1/2

416228●(x²+14)·(x²+2)

416322418●x+2

416342●4,5

416431645164716●1,5

416840000112●3/4

Frac34;

Frac34;

417●±4√17

4172●24 ì³

417210139..●211.

7172165200●(–∞;–1]U[4;∞)

417547401256253●13,9.

4180538126●2,5.

418228144817●ಖ9b²/a²+9b²

41833292●arctg10+Ïê; ê*Z

41854●1

419●1600π ñì² (ïëîù ýò ñå÷åíèÿ)

4191●600π ñì²

419105419105●4

È 12.

42●(0,2)–{1} f(x)=logx(4–x²)

42●6

42●1/2arctgx/2+c

42●2,3,7

Sm

Ì

42●70êì/÷

Cm

Êã

42●12; 9êì/÷

42●(1;8)

Cm, 2cm (ñòîð ïðÿì ñ íàéì ïåðèìåòðîì)

42●3·3/8.

DABC)

42●300

42●–6/(2+x)² (y=4–x/2+x)

42●√11 ñì (áîê ðåáðî ïðàâ 4–óã ïèðäû)

42●4

42●4e x/4–1/2cos2x+C |e x/4+sin2x|

Ñì.

42●–8e–2x {f(x)=4e–2x

42●sin 4α |4 sinα*cosα*cos2α|

42●à)0;–4 á)[–2;∞) â)(–∞;–2] |y=4x+x²|

42●π {|ó=4cos2x|

42●√x+2/√x

42●0;–4

42●15%

42●–15/8

42●180

X)

42●–2≤x≤2 |ó=√4–õ²|

42●–2≤x≤2 |y=loga(4–x²)|

42●–32

42●3π/4

42●6

E

42●sin²α

42●1/2arctg x/2+C |∫dx/4+x²|

420●3;–5

420●(2; 4] (x–4/x–2≤0)

420●(2; 4] |4–õ/õ–2≥0|

420●16

420●16 |√x–4√x–2=0|

420●(2;3) |log4(x–2)<0.|

420●(–2;–π/2)U(π/2;2) |cos•√4–x²<0|

420●20n; n*Z

420●32/3 |y=4–x², y=0|

420●34 2/15π (Îáúåì òåëà ó=4–õ², ó=0)

420●πn; n*Z |4sinx+sin2x=0|

420●0≤x≤1 x/4–x²≥0

420●2πn,n*Z |–4sin (x/2)=0|

420022●1,02

420320●3

Íà 60

4205●F(x)=(4x+2)√4x+2/6+c

420520420520●1

42058●Fx=(4õ+2)√4õ+2/6+Ñ

421●0;–1. |4õ²+õ=1|

421●2πn,n*Z |tg (π/4+x/2)=1|

421●π+2πê; k*Z |tg (π/4–x/2)=–1|

421●π+2πk,k*Z |ctg(π/4+x/2)=–1|

4210●(0; 5/2)

42102●(–∞;1)

42102●[–3; 2] |log4(x²+x+10)≤2|

4210220●õ≤–1, õ≥2

421043252●2/2ñ–5d.

4211●1,5

4211●√11

4211●17–8à (a–4)²–(a–1)(a+1)

421112●0

421130●[–3; 1/4]

4211554●(–∞;–4)U(3;+∞)

Log2 3

4212●7/25

42120●16π √2/3

U(1;2)

42121●a²–a+1

Frac12;; 2

42122●83 |4√õ–2=12–√õ–2|

421221●5/4

421222●(7;2)

421230●(–2; 4)

421230●(–∞;–2)U(4;∞) |(4+2õ).(12–3õ)>0|

421240●x=2

4212424●(4; 1)

42125●8 |v(t)=4–2/√t–1. Íàéäèòå ïóòü [2; 5]|

42126●(8)

421290●1,5

42129322●1.

4213175●1,5

42143●193/43

Êîðíåé íåò

421505●π/4+π/2ê; k*Z

421516●34; 65

Êã.

42160●êîðíåé íåò |4õ²+16=0|

42163●(–∞;–3)U(–3;0]U[4;∞)

421644524●(-1/5; 1) (2/5; 0)

421715●15

42180●õ>2

422●(2;18)

422●–1

422●4

422●–4/5. |sin4α, åñëè ctg2α=–2|

422●(2; 18)

422●[–98;2]U(2; 102] |ó=4√2–lg|x–2|

422●±arctg(1/2)+πn; n*Z

422●(–1)k π+4πk,k*Z {sin(–x/4)=–√2/2

422●(–98; 102]

422●(2; 18)

A8

422●1/2e16 ( log4(ln2x) x=? )

4220●1.

4220●π/4+π/2k; k*Z

4220●π/2+πn; ±π/3+2πk |4cos²x–2cosx=0|

4220●1+π 4x•lg(–x²+x+2)=0

422025125●400

4221●=y=z+2–π/4

4221●π/2+πn,n*Z

4221●(–1)k+1 π/24+πk/4,k*Z

42210●–π/8+πn/2,n*Z

4221221222●2x(x+y),

422141312●1; 2,5.

42216●16

4222●(2à-b)(2a+b-1)

4222●0,2 |cos4α+sin²αcos²α tgα=2

4222●1.

4222●π/16+πn/2≤x≤3π/16+πn/2,n*z

Ïóñòîå ìíîæåñòâî

Y

42220201●++–

42221●2a |(4a²–2a)/(2a–1)|

4222122●x²

422222●8

422222●0 |π/4 ∫ π/2 (cos²2x–sin²2x)dx|

4222221220●4.

4222222322111●12

4222223●a(x–y)/x+y

42222632●30

42223324●–2.

422234●2ln2–3

422252●–1

42226●(5;1);(–1;–5)

Sm

42230●(1,5;∞) log4 2x/2x–3>0

42230●(3/2;∞) |log4 2x/2x–3>0|

422320●{3}

422322632●30.

4223288●2

4223415●õ=4; ó=–1

42234422323●–468

42241●1

42242●16.

422423●a=b>c

42244●–√1–a/1+a

Íåò ðåøåíèé

AB è BC

42261832●[-2;1]

4228●–26

423●1, 9, 17

423●(–2;-1)u(2;+∞) {4/x+2>3–x

Ê

423●4/3 |Âû÷ ïëîù ôèãóðû ó=4–õ², ó=3|

Ñì.

423●±π/3+πk, k*Z | 4sin²x=3|

423●83

423●–2sin3α

423●1+√3 {√4+2√3

423●–2sinα

423●–6ln2•42–3x

423●Ôóíöèÿíûí êðèçèñòèê íóêòåëåðè æîê ( ó=õ–4/2õ–3 )

Ýêñòðåìóì íóêòåëåðè æîê

4231●(–1/23; 1/8] |f(x)=√lg 4–x/23x+1|

423103190●5/4

4231162●0; 3

423122●60

423123●90°

423132090●90°

42318●(36;4) |{√õ–√ó=4, 2√õ+3√ó=18|

4232●2õ²+6õ+8/(3+2õ)2

4232●–2x²+6x+8/(3+2x)² { f(x)=4–x²/3+2x

42320●2√3 ñì³

42321●(–∞;1)U(2;+∞)

42322●a–2

4232221●(õ2+1)(õ-1)2

4232222●2/3

4232222●2 |4ctg²α–3tgα+sin2α, cosα=√2/2,0<α<π/2|

423223●√2/3.

423223●2

4232233●2a/b15

4232282●en kiwisi f(x)=–130

En ylkeni f(x)=14

423232●arctg2+0k; arctg 2/3+0k; k*Z

423232●17/3

4332324252●arctg2+πk;arctg 2/3+ πk,k*Z

423235623924●4

42330●2/√3cm³

42336●(x4–2x³+3)5•(24x³–36x²)

4234●4

42340●–8; 3 |(õ+4)²=3õ+40|

423423●2.

4234422323●–468

4235220●a³(5(a-2)

4236●(2x–3/4)²+5 7/16

42363233●(-3;33)

4236770●3,5; 5,5

423645●0.6

4237●24

4237●0,5 |y=4/x²,y=–3x+7|

42371●24

424●4,5 |Âû÷ ïëîù ôèãóðû ó=4õ–õ², ó=4–õ|

424●x≥2 y=4√2x–4

424●(–∞;0)U(0;+∞)

424●7 |f(4), f(x)=x²–4√x|

X

424●sin²x. |sin4x+cos2x–cos4x|

424●(–∞; 0)U(0;4)U(4; +∞)

4240●[0;2)U(2;4]

4241●(–∞;–1/2] |f(x)=–4x²–4x–1|

4241●4

K

42410●±π/3+2πk, k*Z |4sin²x–4cosx–1=0|

À

Ïåðèì ðîìáà)

4242●32. |4 2+log42|

4242●64x³-1

42420●è=2

42421●3

42421●–3 (cn),c4=24,q=–2.Íàéäèòå ñ1)

424212●π/12+πk<x<5π/12+πk

424214●±arccos1/4+(2n±1)π; n*Z

424222●π/8+π/2n, n*Z |sin42x+cos42x=sin2x•cos2x|

N

424223●8

Ñì è 8ñì

424242162●b–2a/4(b+2a)

42424●17/16

4243●[0;2]

424327515636●9

4243543●–1/3.

4244●[0;21] |√õ–4–2=4√õ–4|

4244●1;3. |4arctg(x²–4x+4)=π|

424424●1/2√x+2/x√x

424488412●2.

4245●4π

4245125●(2à+1/5)²

4245252●0

4245326445512●–6; –1/4 æàíå 6; 1/4

4246961●3

4247002659001●710

Ïîíàäîá 3)

425●12π ñì²

Log25

425●8cm/sek

42503●6

4251●Óíàéá=5; Óíàéì=–4.

425191554350835●6

4252●5 |õ+4/√õ–2=√5õ+2|

4252●(x²–5y)(x²+5y)

Íåò ðåøåíèé

425239525212183●–16

4252526●–5

425291224●1;9

425402●–13/15

42542145●3/y²

425560●1

425616●q=±4/5.

4256165●20

425620●arctg2+πn,n*Z;–arctg 3/4+πn,ê*Z

425638133●128

42565●cos40°

4256540●2.

Ñì. (ìåíüø)

4259215●0;4

426●10

426●3/4 {f(x)= 4x²–6x

426●(4;4)

4260●2√3

Ordm;

426222242=cos8α

426222242=cos α

4264●100

4265●4tgx+x6+C f(x)=4/cos²x+6x5|

4267●õ=–3/4 òî÷êà ìàêñèìóìà

4269●x=–3/4 min |f(x)=4x²+6x–9|

Kg

4269223924283273●–1

Êîðä òî÷ ïåðåñ äâóõ ïðÿì)

427●(1;5);(2;3) |{õó–õ=4 2õ+ó=7|

42702●1;–15

427164●1;2

427164●(–∞;0)U(1/2;3)

427116●1;2

4272●–(x+2)(4x-1)

42730●–1;–3/4

427301●6

427327028●0,6

428●9 |4–õ/2+√õ=8–õ|

42812518●55

4282●49

4282●1,4.

4284●4(x–1)²

42865816S16●1488

M

4292102172●12cm³

429212233●(1 3/4 ;1/6)

429233230●[–3;–2)U(–1; 0)U(0; 1)

42974117●(1;10);(10;1).

43●–1/2. {cosα,åñëè α=4π/3.

43●1 ½ {x+y=4,y=3x

43●–1.2

43●12ñì, 4ñì² (MBKD–ïàðàë, åãî ïëîù è ïåðèì)

43●2 lg(x+4)=lgx+lg3

Ìåíüøå 2ñì (Êàê äîëæ áûòü äë äðóã ñòîð)

Ï)

Ìåòð (Í áîëüøåå îñí ðàâíîáîêîé òðàïåö)

Cm

43●10π

Dm

Äì (Äëèíó îêðóæ)

43●6

43●6 (ó=4–õ,ó=3x)

Ïëîùàäü ôèã)

43●64sm³ (îïð îáúåì êóáà)

Ì. (Íàéäèòå äëèíó îêðóæíîñòè)

43●1265

Cos3x

43●2 |x+y=4, y=3x|

43●32 äì. (ïåðèì ïàðàë–ìì)

43●3sinx-4cosx+C

Ñì

S(4x-3)dx

Äì. (øåíáåð óçûíä)

43●–1/2

Èððàöèîíàë ÷èñëà

43●–4/3cos3x+C

43●íè ÷åòíàÿ, íè íå÷åòíàÿ (ó=õ 4/3 íà ÷åòíîñòü)

Êèìà àóäàíûí òàáûíûç)

430●8π ñì³ (îáúåì êîíóñà)

430●(3;4] | x–4/x–3≤0 |

430●2

Ñì è 8ñì

Íàéòè ÀÑ)

4305●10

Åí êèøè áóòèí)

431●ïðè a≠3, x=3/3–a; ïðè a=3 êîðíåé íåò

|4+àõ=3õ+1|

431●(1;9),(9;1)

431●8;3

431●(–∞;3/4] ( |x–4|≥3x+1 )

4311●8;3 (S=4(3n–1), Íàéäèòå b1)

4312●(-1)n π/24+π/12+π/4n,n*Z |sin(4x–π/3)=1/2|

4312●(-∞;∞)

Íàéäèòå ÷èñëî ñòîð ìíîãîóãîëüíèêà)

Ñóììà ãåîì ïðîãð)

4312313●4

43123412●5

4312548●24,

4313●±12

431324●6

4314●2 3/8

43143316●(-2; +∞)

43182219●4.

432●4:5

432●√11 ñì (áîê ðåáðî ïðàâ 4–óã ïèð–äû)

432●1 | f(x)=tg(ax–π/4),π/3.Íàéäèòå f(π/2) |

×

432●64

X

432●1;2

432●1/5ax5+1/4bx4+1/3cx3+1/2kx2+dx+C

432●4õ³–2/3³√õ

Îäíà

432●1/6

432●òî÷êà ìèí: õ=0;õ=3; òî÷êà ìàêñ: õ=2

4320●x=8

432022520●(1;2]

432064●{4;3;–2}

4321●õ=2

Íåò êîðíåé

Íè îäíîãî

4321245●1/10

432132721239●õ²–õ–1/õ–3.

432151512●0,2.

4322●(2–3a–2b)(2+3a+2b).

×

432212●x=7π/6+πn, ó=–π/6+πn

432212734132●–1

4322154●[–1;1–√2]U[1+√2;3)

4322154●[–1;1–√2 ]U[1+√2;3] |–4≤3x²–2x–1–5≤4.|

43228672●14/17 (Íàéäèòå îòíîø ñîîòâ âûñîò ýò∆)

4323●y=2x-1; y=0.4 x+2.2

Ì

432403●106

4324●1;4 |4/(õ–3)=2õ–4|

×

43242●1

43242●(0;1] U [2;3)

43242●õ=1.

43245●12x²+8x³-5x

4325●6ñì²

4325●(–1;4)

4325●(x–1)²+(y–1)²=2

432523●1;3

4325373120●0.

Ò.

4328275●15

4328653●4,55.

433●3π ñì³

4331●–π/4+3/2kπ

43310●–1/3√2

433135●7

433165●32,5êì/÷

4332●–1; 0; 2

A

433232●(–∞;–3)U(–2;∞)

4332320●(-∞;-1]U{1}U[2;+∞)

4333●3π ñì³ (Îáúåì êîíóñà)

B5

4334●(1;7)

433418735816●(9;8)

43353173260●0

433602●240√3ñì³ (Íàéäèòå îáúåì ïðèçìû)

43360333633633333●3

43362310●2+√5

434●16(√2–2)

Ñ

434●–1

434●1/10

434●x4–4cosx+C |4x³+4sinx|

434●1/6(√2–2) |π ∫ π/4 cos(3x–π/4)dx|

434●79/128

4341013●(-72/5; 0)

4342●2πn,n*Z

434235●210

434236●b4/a3

4342432●– 4;–1; 1; 4.

4343●x²–8x+13=0. |4–√3 u 4+√3|

43431●–π/8+πn/2,n*Z

434312●7

43432●[5;∞)

4343589090●0

4344●16÷,16/3÷

4344634●3/2.

4345●4√5π

Ordm;

435●0 (ó=4;z=–3,äëèíà âåêòð 5)

43512741714351720314●0,2

4352●7

43520●7 | cos(π/4+α), cosα=3/5;–π/2<a<0 |

43520●7√2/10

435217115016●1

4353715216512●0,6

435375●4. |tg 435º+tg 375º|

Íàéäèòå ÷èñëî ñòîð ìíîãîóã)

Îáðàç àðèô ïðîãð)

4360●17/25

4360240●2

4360240●√13

436624●1,5

43663431●3

437●{4;-3;7}

Ñì

43702●30cm² (ïëîù ∆ ÀÂÑ)

43712●4/3ln(3x–7)+√x+Ñ

43712●2;1;4;–5

43712●Ø |4õ–3(õ+7)>12+x|

43730373015 ●1/2

437437●12

438●32√3 (S èñõîä ∆)

438151516●5

4382388●2

4384521151389336502618513738515●9

44●x1=–4,x2=4;õ1=xmax,x2=xmin

44●√2 |π/4 ∫ –π/4 cos xdx|

44●39:17

44●±arccos 1/3+2πn, n*Z

44●0

44●π/2

44●a)-4,4; á)(-∞;0)(0;∞); â)íåò (ó=õ/4–4/õ

À)íóëè á)ïðîìåæ âîçð â)ïðîìåæ óáûâ)

44●(-4;-4)

44●[0; ∞) |ó=|4õ–4|

44●[-1;1]

44●1

44●sinx+cosx ( sin4x–cos4x/sinx–cosx )

44●cos2α. {cos4α–sin4α

44●cos2α

44●x≠–4

44●π {y=sin4x-cos4x

44●π/4+πn, n*Z | sin4x+cos4x=sinx•cosx |

44●(a–b)(a+b)(a²+b²)

440●π/4+π/2•n,n*Z

440●4k²+4k+1=0 |4y+4y+y=0|

4401●1/5x5+1/4e4x+3/4

441●π/2 |sin4x+cos4x=1|

N,

441102310●6(3/10)y+4(1/10)

4412●1

4412●íåò ðåøåíèÿ (sin4x/4=1/2)

44122●π/4+πn,n*Z

441222●πn/2,n*Z

44123●[16; +∞) |log4x+log4(x–12)≥3|

441316●(64; 16)

×åìó ðàâíû ñòîðîíû a è b)

44154●1

44154●2 |{4√õ–4√ó=1, √õ+√ó=5, íàéäèòå 4√õó|

441717●–153

4418280●–2;–√2/2;√2/2;2

442●x≠0 {y=sin4x/4x–2x

442●h(x)=4x(x²–2)+1

442●cos²x |cos4x–sin4x+sin²x=?|

4421●{4.}

44212●7/25. |cos4α–cos4α,tg α/2=1/2|

4422●–2

4422●(à2+b2)(à-b)/àb {a4–b4/a2b+ab2

44222●1

44222●1 |sin4α+cos4α+2sin²α*cos²α|

442223●2

44226●38

44227●51.

4423●8cos4α |cos4α+4cos2α+3|

442322●5

442325●1.8d+1.25

44242●2 2/3 |Âû÷ ïëîù ôèãóðû ó=4–4õ+õ², ó=4–õ²|

44273●3.

442811●90?.

44281321●à1=6; d=3

44292●25 cm²

443●16, 16/3

443●–2 |f(x)=sin4x*cos 4x, f(π/4)|

×ëåí àðèô ïðîãï)

443●53

443●–å-õ4+Ñ

Ñì.

44320●±π/12+πn; n*Z |cos4x–cos4x+√3/2=0|

443221●4/3x–1.

443222●â²(à–â)/à²

44332●–1; 0; 2

4433222●4à+4õ/3(à+b)

44361●189

44381●189

444●0

N

444●πn/2, n*Z

444●kπ/2 |sin4x•cos4x=cos4x|

444●72ñì² (ïëîù ïðÿìîóã–êà)

444121212811●4/5

4444●0 |sin(π/4–a)•sin(π/4+a)–cos(π/4+a)•cos(π/4–a)|

4444●m–n

444422●2x+1

4444313●–8;8

444444●(–4)6

4448●41 |{4√ó+õ+4√õ–ó=4 √ó+õ–√õ–ó=8|

4448●2 4+a/a 4+a/ 4+/a

4448801725●20π

445●(–∞;0,8) f(x)=log4(4–5x)

445●32 cm³

445●2√2 ñì (ðàä îïèñ îê ïðÿì ∆)

4455●4/9 |4/45•5|

445566●–à+b+c

4456060345●√2/2

44626●(625; 1),(1; 625)

4463●–2

4472●–(õ+2) (4õ-1)

44737●4

4475●75 (znamenatel 44/75)

448212●0;–28

44846●10, 12, 16, 20

44881616248●a²

Ì.

45●1 | y, {ex–y=4 x+lny=ln5 |

Ïåðèìåòð ïàðàë)

45●54ñì² (Îïð ïëîù ∆)

45●4ñì; √41 ñì (CD, AC)

45●76. (ó÷–ëè â ïîõîäå)

45●0. |lg tg 45º|

45●10π

45●cosx–1/xln4 f(x)=sinx–log4x+5

Cm

45●3√3a²

45●54ñì² (ïëîù ∆)

×

45●20;10

Ordm;

Ordm;)

45●1/√2=√2/2=cos 45° |sin45°|

45●1=ctg45° | tg45° |

45●12;15

45●a–1/a+1 | tg(45°+α)=α, tgα |

45●0,5 a2√2 (ðîìá àóäàíû)

Ñì

45●22?30' è 67?30'

45●20êì/÷ (ñêîðîñòü âåëîñèïåä)

Îïð ñ òî÷í äî ñîòûõ ïðèá çíà÷ äë îêð)

À2

45●3 2√3

45●S=1/4(a+b)²

45●à–1/à+1 tg(45°+α)=α,tgα

450150●2500

4502●3/4 {cosα=4/5, 0<a<π

4502●0,75 {tga cosα=4/5 è 0<α<π/2

45029●1080π ñì³ (îáúåì êîíóñà)

Ñòàêàíà ñîêà.

Cos34a

 ðóäå ñîäåð ìåäè)

45075●60êì/÷

4507515●60êì/÷

4509●5

45120●6

451●√20(6)

451●5 aa–b=b4 ba–b=a5•b a, b≠1 a–b íåøåãå òåí

45110●(1;3)U(3;5) {4–x/x-5+1/x–1>0

4502●3/4 {ñosα=4/5,0<a<π/2

45120●6 |√45–√x–1=√20|

451216●640ñì³

45123●3;–2

4512367523112●1.

45124223●2 11/12.

4513●2.

4513●2 (Ñòîð îñí ïèð–äû)

Òîãäà ïëîù òðàïåöè ðàâíà)

4513215●15

4513530●15

4515●√3+1/4 |sin45° cos15°|

451515●–tg 15º {cos(β+45°)-cosβcos15°/sinβcos15°

Íàéòè ÀÑ)

4516●10√2

451689●(7;17)

45180270●1 1/3

45180270●4/3 |tgα,sinα=–4/5; 180°<α<270°|

4519●õ²+ó²–8õ+10ó+16=0 (óðàâ îêð ñ öåíòðîì )

452●20 |à+ñ=4 è a–b=5, a²–bc+ca–ab?|

452●8√x+5tg+C

452●7/24

452●–3/5 |cosα,åñëè sinα=4/5, π/2<α<π|

452●8√x+5tgx+C |f(x)=4/√x+5/cos²x|

4520●–3 |(x+4)(x+5)²/x<0|

4520●–3 |–(õ+4)(õ+5)²/õ>0|

4520●–3/5

4520●íåò ðåøåíèè √õ+√45=√20

Ñì

4521●(1; 1). |y=f(x),0x óãîë 45º, f(x)=√2x–1|

4521352●2 tgα

È 4÷.

4522●16/3

4522●16√2

4522●2,3êì/÷ (Îïð ñêîð ðåá)

452225●–√5;√5

45224●2√2 ñì²

Ïëîù ïîëó÷ ñå÷åíèÿ)

Ñðåäíåå ÷èñëî)

45232●5x/2(x+2)

4523831●5

45240●±1; ±2

45246424127●n=7

4525225●–√5;√5

4526●15.

4527●1:600 000.

453●–5 √4–õ–√5+õ=3

Îñû ñàíäû òàáûíûç)

453●√20(8)

Âîçð Òèìóðà)

4530●13,5 (45 ñàíûíûí 30%òàáûíûç)

4532●0≤x≤5

45320●8 √45+√õ–3=√20

45320●8 {√45–√3=√20

45320●Íåò ðåøåíèé |√45+√õ–3=√20.|

45320●êîðíåé íåò |√45+√õ–3=√20 |

45320●íåò ðåøåíèÿ |√45+√õ+3=√20.|

453233●a²-b²/3

Ñì è 9ñì.

4536●72ñì² (ïëîù òðàïåöè)

453611513●0,5

45361960●–0,8

45422212●10

4543●6π

Ïóñòîå ìíîæåñòâî

45443316932●16

Ordm;

454523●–1/18

45454545●tgα

45456●12

455●√20(10)

455●75√3 ñì²

Ñòàðø áðàòó)

4550018●200

4551471356●–2*1/2

455162●122

45520●10

×.

Åí êèøè)

455565●√6+√2/4

45579694234715356●–2/3

45582●√73.

Ñì; 18 ñì.

456●20 ñì³

456●20 cm²

456●36√6

456●9; 5

Cm

È 5

Îòöà âîçð)

456●120

Ñì.

4560●90º (äâóãð óãîë, ïðîòèâ 3–ìó óãëó)

4560362●9√6 ñì²

Ñòàêàíà ñîêà

45620●10; 5/8 èëè –10; –5/8

4562104●188

45630●8 (Âû÷ ìåíüø ñòîð ∆)

456456●tg5α

Ñì; 122,6 ñì

4568●42

4568●2 |<A=45°, BD áèêòèãí ÀÑ ÀD=6ñì, DC=8ñì êåñ–ãå áîëåäè|

456838●38°

4570●(–∞;4]U[5;7)

Ordm; (Íàéäèòå óãîë Ñ)

Ïåðâûé êðàí)

457239914●õ=1

458●5/2 (x/4=5/8)

45812951936315116193551453431951●5,08

4582●9

4582181113●4*7/16.

4586●56

4587●93º (òîãäà áîëüøè óãîë ∆)

4587●42º (òîãäà ìåíüøè óãîë ∆)

459●40√10

4590●3105

459341291●0.6

Îòíø ïëîù ôèãóð)

Çàêîí ñâîé ïóòü ïîñëå âñòð)

46●12à/7

46●15π ñì²

Ñì.

46●2.

46●6

46●(15π)

46●3è3, 4/3 è 14/3

46●3/5 è 2/5.

46●4(√3+2√21)

Cm 12cm

46●a3/2 â3/4

Ìåíüøè óãîë)

Íàéäèòå îáúåì êîíóñà)

460●2

460●24

460●3√3cì² (Ïëîù 4–óãîëüíèêà)

460●8√3/3π

Íàéäèòå îáúåì êîíóñà)

460●O:8

4600001●0,2

46050753●–24

4612●–1+√3 | π/4 ∫ π/6 1/sin²x dx |

4613●16 | x–y=4 z–t=6 x+y=13} x+y+z+t |

Íà 0,21

4620●13

4622●770 êì (Îäíîâð 462êì (t=2)

462369●8.

46252132324●4x16/9y18

46254625●2

46258124161353●1/3

Êì

Êì

Êì.

4630●12ñì² (ïëîù ïàðàë)

4630●12(Ïëîùàäü ïàðàë–ìà)

46336322632231●9

46422121216.. ●a+1/a-1

46432550●11

4645●10ñì² (ïëîù äèàã ñå÷)

46462369●8

465●3.

Ñì

46556●61

Ñì. (Íàéäèòå MN)

4660●16π

4660●24π√3+12π

466284●168

467●48cm³

Îáúåì ïèðàìèäû)

46891218●2

469284●168.

E4-7x

Õln7

471●3 |√4õ–7+1=õ|

4701●√13

4710116●25

4711●44(4x+7)10

Ordm;. (ÑÂÊ)

47122102310●–10

47124312●(-3; 0)

4713●7/12

Cm. (ìåíüø ñòîðîíà)

Íàéä óãîë ìåæ âåêòð)

47172●68

471962●64ñì² (ïëîù ∆ ïðè âåðõíåì îñí)

472●0,5x8+4√x+C |f(x)=4x7+2/√x|

4721●{2; 3}

4721●2.

4721●–1;2

47212●–2 |f(x)=4x+7/2x–1 â òî÷êå õ=2|

47212●(–1; 4)

47286●20.8

Cm.

4730●43

473073075●1/2.

Íà 9 ñì

474●–9

47492216●1

474951●240ñì² (Íàéäèòå ïëîù ìåíüøåãî ∆)

474952●240ñì²

47547401256253●13,9

47571233457025●7.

476●–24(4õ+7)7

Ordm;.

Ãðàäóñ (óãîë ïðè îñí òðåóãîëüí)

477●x=7, x=–3

4773●cos13º |cos47º+cos73º|

47743●(17;∞)

47743●(–∞;17) {õ+4/7–õ+7/4>–3

È 5

48●q=3 (àðèôìåò)

48●(2,3)

Äåò

48●128√2/3 ñì³ (âû÷ îáúåì òåòðàýäðà)

48●36π ñì².(ïëîù êðóãà)

48●40.

48●96ñì ² (ïëîù ïîâåðõ êóáà)

48●2/2

48●16 (ïðîèç 1–ãî è 5–ãî ÷ëåíîâ)

Îñòð óãîë ìåæäó áèññåêòð)

Çíàìåí ãåîì ïðîãð)

48●1.

48●8√2 ( CD–? )

Ñì (óøáóðûø îðòà ñûçûãûìåí)

48●à=2, b=6, ñ=10 (Íàéäèòå ÷èñëà a,b,c)

Íàéäèòå ñîîòí 4êì ê 80 ìåòðàì)

48035●180; 300.

Cêîêî âåñèò ñëîí)

Äíåé

Cm

48116416812●5/3

481164168125235●5/3.

48121622419●1064

Cì.

48144●b1=2;q=3. (1 ÷ëåí è çíàì ïðîãð)

4815121●3.

Ñì

481636●82/7

Ñì (Íàéëèòå âûñîòó ïðèçìû)

Âîçð ó÷ 2 ãîäà íàçàä)

482●√2/2 ñì (âûñîòó ïàðàë–äà)

48212●8

48216216●√2

482358●9,6: 4,6.

4824●arcsin 1/3

48240●8;12

48240264●24

4826●xmin=±2, xmax=0

Ñì, 13,5 ñì

483045●64

4832●8

4832180●(4;6)]

48336●4

Ñì,16ñì,20ñì.

4836●25 %. (àçàþ %)

4840010●40000.

48410●[-2;1)U[2;4)

Êì

Íà 16òîíí

Ñì (ïëîù îñí òåòðàýäðà)

À

484848●2

485●6,25π ñì² (ïëîù ñå÷ êîíóñà ïëîñêîñòüþ)

48512●à511/512

48543●36

Ñì (âû÷ ñóì âñåõ ðåá êóáà)

4872●14 êì/÷

488060●16,12,20

488060●20,16,12

4890●41, 1/5

489034●41*1/5

49●24,5; 24,5

Äíåé, 6äíåé (îáìîëîòèòü âñþ ïùåíèöó)

Îòíîø èõ ïåðèì)

Òðàï. àóäàíû)

49●846 (an=4n+9)

49●17.6

49●2;3

Âûñ òðàïåöèè)

M (×åðåïàõà)

49016●2,8;–2,8

Íàéäèòå îòíîø êàòåòîâ)

4909●√10

Òã, 5 òã

491●5.4

49105●7/15

49111740●0

49117●–2/3

49123160●1

4912344727●3

4912347●3

49139432●1/4

Ñì (òîãäà áîëüøàÿ ñòîðîíà )

Ñì (ìåíüø ñòîð)

Ì; 18 ì

4917254●9,8.

Ñì (äèàãîíàëü êâàäðàòà)

49220●(2 1/3; 4 1/2) |log4 9–2x/x+2<0|

4922523●5ñì²

4923170●–2; 1,5

4923170●{–2; 3/2}

492344727●3

4924191●1/2

4924191217212●1/2

Êì.

494●15

4941●(log49y)–1

495●55

Ñì; 18ñì

Êã

4952446●36*25/72

495362●2,75.

49640●2400

497164●(–2;∞)

4975101286436●24

4977●343+à√à/49-à

499654●9 íåìåñå 44x+C. |f(x) = sin4x|

5002●1/5(e10–1).

Ö

5●–10/sin10x (f(x)=ln ctg5x)

5·1:3 (òåң áүé³ðë³ ò³ê)

5 ●x≠5π/2+5πn; n*Z (y=tg x/5)

5●õ≠5π/2,n*Z |y=tg x/5|

Ñåãì ñîîò öåíòð óãëà)

5●(7)

5·4 |õ/ó=5, õ-ó/ó|

5●–6 {õ<–5

5●y=x+1/4 {F(x)=√x y=x–5

5●1/25

5●1/5cos·x/5

5●35

Ïëîù îñí ïèðàì)

5●(4;+∞)

5●5^3cm/2

Ñì

Ïðîòèâîïîëîæíàÿ åé ñòîðîíà ðàâíà)

5●5 {xlne=5

N. (Íàïèøèòå ôîðìóëó ÷èñåë, êðàòíûõ 5)

5●5lnx•ln5/x f(x)=5 lnx

5●42

5●75√3 cm² (S ïðàâ ∆)

5●3

5●10êã, 69%

Äíåé

5●3 1/3

5●27,6

×

5●(x+y)(5a-1)

5●1/2√x–5 |f(x)=√x–5. f(x)|

5●1/2√x+5cosx |f(x)=√x+5sinx|

5●15ñì (âûñ ∆)

5●10 (äëèíà îêð ðàäèóñà 5/π ðàâíà)

5●–1

Âñåõ òðåõçíà÷ ÷èñ,êðàòíûõ 5)

5●–10/sin10x ( f(x)=lnctg5x )

5●15 (Ìåäèàíà ýòîãî ∆)

5●–5,2 (Íàéäèòå ñóììó ÷èñëà (–5) è åìó îáðàòíîãî)

Òîãäà õîðäà CD ðàâíà)

5●–5cosx+C |f(x)=5sinx|

5●–5-XIn5 y(x)=5–x

5●y=1/5lnx |y=e5x|

5●8 (Íàéäèòå ÷èñëî ñòîðîí ìíîãî–íèêà)

Ñóììà âñåõ íàò äâóçíà÷ ÷èñåë)

5●25

5●–6 ( x<–5 )

5●(10;11;12;13;14), (-2;-1;0;1;2)

5●(–5; 5) {|õ|<5

5●(-∞; 5] {õ≤5

5●(õ+ó)(5à-1)

5●1/5 cos•x/5

Ïèðàìèäà)

5·1200

Ñì

5●5π (y=tg x/5)

5●5π tan(arctan 5π)

5●5√3/2ñì (âûñ ðàâíîñ ∆)

5●6, 7, 8, 9 |xn=x+5|

5●945

Cos1,sin1,sin(-5)

5●ex+5 |f(x)=ex•e5|

5●M(3; 243)(ó=õ5)

Òã

5●2,0625

Êå ôîðìóë-5n

5●êå үø ìәíä³ íàòóðàë•98550

5●sin5x–5x cos5x/sin²5x

50●â I ÷åòâåðòè=à–ïîëîæèò ÷èñëî(+) |à=sin50°|

50●10

50●1/2 (Îáûêí äðîáü,ñîîòâåòñ 50% ýòî)

Ñì2

50●125 %.

50●25 5–√x=0

50●20;30

50●65º; 115º (óãëû ïàðàë–ìà)

50●65º; 65º

50·pn, nÎz

50●π/4

500●25êì/÷

Ïîåçғà ì³íãåí æîëàóøû æîë-ң

áåð-í ó÷àñêåÆ:50

500060●2000.

5001021●345

5002●1/5(e10-1) {y=e5x,y=0,x=0,x=2

50025●n²m³

50033●135•10–6

50044●25 êì/÷

50045●20

Êíèã â áèáëèîòåêå)

50055●25; 20

Ñòóëüåâ; 20ðÿäîâ

Ö

50077●(4;–3),(3;–4)

501020●–1

50110●cos 20°/2

501101●370

50110168●369,6

Ñì

Ãà

502●100ñì²

5020222●(0;40)

50203●5

50222●–π/4

5023025●60,40

50249248247242322212●1275

Ã.

503025●60; 40 êì/÷àñ

5036250002●–2

Êì

504●5

Êì

505●3 1/3 |5 ∫ 0 √x/5 dx|

50055●25; 20

5051●õÝ(π/6+2πn;2πn)U

(π+2πn;7π/6+2πn)

5055●61,1 êì/÷

50553●35

505550123333●{3; 9; –24}

Ordm;

Ö.

5060●1100

50625●4:5

5069897169897●50

507●–93π/14

Íàéäèòå åå äëèíó)

Ordm; (CAD)

50842350849765084●5084000.

Êã

51●(4;+∞) |√õ+5<x–1|

51●y=5√x+1 |ó=õ5–1|

51●[5;6)

51●5

51●51 (15÷ëåí àðèô ïðîãð –5;–1)

51●(–6;–4) |õ+5|<1

51●(πn/5; π/20+πn/5],n*Z ( ctg5x≥1 )

51●[0;1)U(1;+∞)

51●2,5<x<5 logx(5–x)<1

51●2/(õ+1)ln5

51●51+sinx cosxln5 {f(x)=51+sinx

51●21/5; 17/5; 13/5; 9/5

51●(81;16)

5100●4000

A

5100170090003101●340

51003●250

510103●[–2; 10/3]

5110054●2

510612●11à/30(õ–2)

511●17

5110●–2; 8

5110●25x²+1

511023069●10

511025●1 11/40 (5 1/10 êã–íûí 25% òàáûíûç)

5111●(–1;1)

5111●5/3

51116●(15;10);(2;–3) |{õ–ó=5 1/õ+1/ó=1/6|

511214●–10 2/3

5112141621133142114●–10 2/3

51130●(1;+∞) |{5õ–1>1 3x>0|

5113121●–1

51138130●Íåò ðåøåíèé ( õ+5/õ–1–õ+1/õ–3+8/(õ–1)(õ–3)=0 )

51138130●3

5115●(0;+∞)

511524●q=3,S=46,5

5115531216321●√3

511671256●b1=16;q=±1/4

5118● 9; 6

511812●99/8

512●(–1;24] |log5(x+1)≤2.|

512●1/2

Sm

512●6,5

512●[–13;13]

Ãåîì. ïðîã.)

512●13

Ñì (ÎÂ òàáûíûç)

512●17 ñì. (ïåðèì ∆ NOP)

512●–2•51-2õ •ln5 |f(x)=51–2x.|

Ðîìá)

Òîâàð áåç óïàêîâêè âåñèò)

512●5 |√õ–5+√õ–1=2|

512●2

Ðàä âïèñ îêð)

512●8cm; 15cm (Êàòåòû ∆)

512●±5π/3+10πn,n*Z {cos x/5=1/2

Íàéäèòå äëèíó ìåäèíû)

512●õ²+ó²=169.

5120●17

512021802●10ñì (âûñ ìåíüø ∆)

Òã

5121●f(–1)

51212●–√2/2.

512120 ●50/11

5121201200●50/11

Ordm; (Íàéá óãîë)

5121313●900

51215121●1/2

512158541●626

5122132223●[1/5; 1)

51223●1

512232432●1

512240●169π

5122402●169π ì²

5122402●169π ñì².{îïèñ îêîëî ïðÿì

5122412221●(–1,5; 0]

5123●4–√11

512326●24

51230●(–∞;–1,5)U[0,2;+∞) |5õ–1/2õ+3≥0|

51233●–55

51233121224522150●9/175.

512334●7

512334282●7

5124●(–∞;–4]U[2; +∞)

51245124●5/3

5125175●2

5125181●60 000ì³

5125281713●–3,2(6)

512532●1

512545●–4,5.

51260●780√3

5126130150●õ1=log256; õ2=log65

51264●16

Êì

5127301156●1/10

512813●m=8/7

512920●(–∞;17/4)

513●30 ñì² (ïëîù ∆)

513●30

Ordm;.(Ðàçíîñòü ýòèõ óãë)

513●60

Ïëîù òðàïåöèè)

5130902●120/169

5131●1. |√5õ–1=√3õ+1|

51310●–0,25

513121●b1=81, b5=1

5132●–5/12 {sinα=5/13, π/2<α<π

5132090●120/169

Âû÷ çíà÷ âûð)

513322●– 5/12

5133231533●1/75.

51332713323●[–1–√5;–1+√5]

51345●63/65

5134532●63/65

5135●1

51351324●1

5135252351●8

513552818912511663●–1,26.

513753513●(1;1)

51391512●84

Ñì è 7ñì

5141●1/9

514131215●5 1/30

5141512926422762112●5 1/9

5142●(-4;-1)

Ñì;7ñì

5142332●1•4/23

5142332223●1 4/23

Äëèí âåêòð)

5143142116●13õ²+120/336õ³

51450251265●1/16; 1.

5145124●5/3

5147●40%

5149●–2175

Ëèòð

515●Ïðÿìàÿ. |õ+5ó+1=5ó.|

515●[–∞;1 1/2]

5150●–2175 (êðàòíûõ 5 è áîëüøå –150.)

5150●7,5 (íàéäèòå 5% îò ÷èñëà 150)

515013260●[3;∞)

5150147●54

51502226●1; 3

51506147●54

515100●2.

Ïëîù òðàïåöèè)

515124●õ=1

5151265●1/16;1

5151312●õ1=3, õ2=-3

5151352●õ=3.

Ë.

515153●1<x<2

515153●√5/√3

51520●(–∞;1)

515222●õ>0

5152222324●x>0

51524●q=2,S=46,5

515253155●4

5155●5x4+1/x6

51550●[-1/5:5]

515525●6/5

5157●20

516●1/5(å5õ+1/õ5)+Ñ

51621●6 |log(5x–16)/2=1|

5170151321●4,0(08)

5171●2/(x+1)ln5

51713●55

51812●99/8

51813119112356●1 1/3.

5183234●5

52●ó≥0; õ≥0 |ó=õ 5/2|

52●0

52●(0; 5) {5õ>õ²

52●15 ñì²

52●2π |f(x)=cos5x•cos2x|

52●10xln10 (f(x)=5x2x)

52●5/o–2o

X-2x

52●5–10/x+2

52●(0;5] (ó=√5–õ+log2x)

52●[3;7]

ÕLn10.

52●10 (logab=5 logca=2)

52●11.

52●5

×àñ. 20 ìèí.

Ñì. (Âû÷ ñðåäíþþ ëèí ýò òðàïåöèé)

52●216

52●5x -1√x

52●5/õ–2õ {ó=5xln–x²

52●5x4–1/√x |f(x)=x5–2√x|

52●52°

Íàéä ìåíüø óãîë)

52●íåò òî÷êè ýêñòðåìóì (y=5x+2)

52●5x4-1/√x

52●d=10;5,15,25

52●sin2a/2cos3a

52●õmax=2/5

52●–a5d/c | a=5√c•√b/d²|

520●200° |Ïðèâåäåííûé óãîë –520°|

520●(0;5) |5x–x²>0|

520●(0; 1/5)

520●0; 1/5

520●–502

520●––––•–5––+––•0––––•2+→x | x(x+5)(x–2)≤0 |

520● 3êì/÷

520●√45(0)

520●6 (5–x)(x+2)>0

Òã

Òåíãå

52004●π+2πn, n*Z

52004326217717031506351316●1000

5202012●3 êì/÷àñ.

5202042●3 km/s

520221802204324230●(–4; 1)

52022232210212●1/2

52028●[5+√105/2;8]

52032●2.

5204326●90

52040705102357●9

52043262177173156351316●100

5204326217717●100

52045●0 √õ+5+√20=√45

52053●2

521●10 2/3 |y=5–x²,y=1|

521●(–√5; 2)

5210●4

5210●5t+3

52101●(–∞;–5)U(–1;1)U(1;+∞)

521022●(x–2)(5ax–y–1)

521052●à+b/3(à–b)

521052152152●a+b/3(a–b)

5210525●15

521062860●a1=4; d=2

5211●x>0,5

52112●9

52112●(–∞;–2)U(2;∞)

Ñì (äëèí áîê ðåáðà)

521205210225●(2,5; 13)

521234205●–2

52136280●–2/5

5214●–470

520●6 {(5–õ)(õ+2)>0

5212548●10

5215●5a/(a–1).

52154●(0; +∞) |52x+1>5x+4|

52155●–12/5

52159510●13.

52159510●–26;13. |log5√2x–1+log5√x–9=log510|

5216●1; 1/5

52112●(–∞;–2)U(2;∞) {5/2+x<1+1/x–2

52180●0;3,6

52180●0/3.6

5219●1/243

522●√65/√5

522●√5/√13+√8; √13–√5/√13+√8 |√5 è 2√2|

522●[3;5]

522●log25. |√5•2õ=2õ|

522●x>–2 |ó=log5(x+2)/2x|

522●[3;5]

522●5

522●sin3α

522●x>–2 {y=log5(x+2)/2x

Log 5

Íàéäèòå äëèíû îòðåçêîâ,íà êîò äåë ãèï áèññåêò ïðÿì óãëà)

5220●(0;5/2)

5221●[1;+∞)

52210●x=–π/8+kπ/2,k*Z

52211452●2

5221500●1

52217●7

52217●–7 | 5√2sin(π/2–arctg(–1/7)) |

Ordm;

5222●y=√x–2/5

A3

52222202●2.

522225●(0;5),(3;4),(-3;4)

5222333●–9/2

52225●–1;1

5223●x=2,2 |(õ–5)²–õ²=3|

52231●[–4;–3)U(1;2] | log5(x²+2x–3)≤1 |

52231●(–∞;–2);(4;∞) | log5(x²–2x–3)>1 |

52231●(–∞;–2]U[4;∞)

52232●x≤–2, x≥0

À(5;-2) Â(5;6) Ñ(-1;-4)

52234●(9;4)

52235●5/3x³–1/2x4+5x+C

522400●2

5224440●4

5224440●–4 |5x²+y²+4xy–4x+4=0|

5225●3 {|5–õ|=2(2õ–5)

5225●4. (Íàéäèòå âòîðóþ ñòîð ïàðàë–ìà)

Ñì

Ñòîðoíà ïàðàë)

Íàéäèòå ED )

5225●88° (ÀÂ ìåí ÑD õîð–äû Å íóêò–å êèäû)

522515022●24

52252●1;–1

5225321125●10

52253526125●–3

5226●äà (5/2>2/6)

522722222●10(a²+b²)

523●π/3ê,ê*z

523●π/3

523●5/3tg3x+Ñ

523●[–7;7]

523●1 1/3

523●Ï/3n, nÝZ; Ï/4(4m+1), mÝZ

523●126 |a=5/2b è c=3b e?|

523●2π/3n,n*Z,πk,k*Z

5231●0

523125●–14.

5231323127●[-1; 1]

5231511●–2/3

5232·–1;–1/√5; 1/√5; 1

5232●8

52320●2/5;-2/3

52320●êîðíåé íåò |5õ²–3õ+2=0|

523222●6

5232218●(–4;3]

523222252232●4.

523222252232111●6

52323●(–∞;–3]

Ó5—45ó

52323●5y–45y

52323●8 |5–2x|+|x+3|=2–3x

523232●b²+9

5232312●π/2

523232●b²+9 |5b²+(3–2b)(3+2b)|

5232511112126●2

52326●–4√3

523312●–10cosx/2-e3x-1/2+c

523321●(19/13;+∞)

52335435●[-2;1]

52342●0,508.

52342160●(0; 4).

52342195●–2

52342234●3à/4

5235●3;6

52351●õ>1.

Íåò ðåøåíèé

52351335●63/65

52352●2

Åí óëêåí)

5236090●6

524●(–3;3)

524●(–∞;9] { |õ+5|≥2õ–4

524●(–∞;–1/3)

524●12.

524●πn; π/6+πk/3;k*z |cosx sin5x=cos2x sin4x|

524018●x/7–3x

5241●–96

5242●(0;4)

B

524255●2

5243●x4–5 ctgx+C |f(x)=5/sin²x+4x³|

5243●x 1/4 |5√x2•4√x–3|

5243●9

524313●121 è 181/16

524430●x º(0;5)

524430●(–∞;0)U(5;+∞)

5245●7

52450●(–3;3) |–5õ²+45>0|

5246200428●7

Ordm;

525●(1–b)(b+5) |(b+5)²–b(b+5)|

525●1/1-√5

525●a1=3;d=4

525●5(b+5)

525●4x–15

525●4/3

5252●50

5252●1/3sin3x+C.

5252●50. |52+log52|

52521125●10.

525221125●10

525365431027●2,8

525425●2 –1/2

5254565200428●7.

52551554918612●3

X

5355214●ó=à√à/ 4√5b²

52552210252250●15

5255331729●(13/5;–4/5)

525588●14700

52561●{7}

525735●65

5259410562●19 êì/÷.

526●√2+√3

526●√3+√2 |√5+2√6|

526●sin2α/2cos3α |cosα–cos5α/2sin6α|

526●–6;–3;–2;1. |5x+x²|=6

526●2πn,n*Z | 5+cos2x=6cosx |

5260402●0

526125021●2,5

526210●±π/3+2πn,n*Z

526314222121●2x–1

52632321●0

5264302●{14;–35}

5265●3

527●5/2õ+5/4sin2x+7x²/2+C

527●[–1; 6]

5270●x=7. |(õ–5)(õ+2)√õ–7=0.|

5270●5;–2;7;

5273●10 (ãèïîòåí ∆)

Êîîðä öåíòð îêð)

5274512575●–3

Êã.

5280●120

52822●0.

52822●–2;0,4 |5õ²+8õ/2=2|

Ñóììà êîðä âåðø)

52840●30

52920●(–2;1/5)

529213010●(–∞;–2];[0,2;∞)

5292531●(∞;–2)

52925311●(8;–2)

52945●1.

Íåò êîðíåé

Íåò êîðíåé

53●õ=–16 (Êàêàîå ýòî ÷èñëî)

53●(–∞;–4] {y=xex,[a–5;à+3]

53●4, 1/11

53●–5/2x²+3x+c

53●ôîðì•5n+3

53●õ1=2 õ2=8

53●{5;3;–1}

53●3sin(5–3x) |y(x)=cos(5–3x)|

53●ex–15x²

E

53●15ñì2

Äíåé

53●–5e–5x ( f(x)=e–5x+3 )

53●2π/15+πn; n*z ( tg(x+π/5=√3 )

53●3π

53●–5/2õ2+3õ+Ñ.

53●6π ñì³

53●8

53●8 | 5 ∫ –3 dx|

53●õ1=2; õ2=8

Íåò ðåøåíèè

53●íåò êîðíåé |√õ+5=–3|

53●ôóíêöèÿ íóëåé íå èìååò |ó=√õ–5–√3–õ|

53●5n+3 (Óêàç îáù ÷ëåí ïîñëåä ÷èñåë)

53●5n+3

53●6 ñì³

53●60 ñì³

53●÷=2æ ÷=8

53●10;11;12;13;14;–2;–1;0;1;2

Ã

53●ex–15x² | f(x)=ex–5x³ |

Ñì

53005●15,75

53010●60

53045●1,5 |5sin30º–ctg45º|

530510310●a+1/a

531●5x4/4–5x+C | f(x)=5(x³–1) |

5310●8

53106106101210●1/4

5312●–16 (5sinx–3cosy–12cosx)

53210155●2b3c/a2

531125●x=10

5312035●75

53125●x=10

531211632●x<7/5

5312125●1/3

53125●5

53125131●(–6;6),(0;0) {5|õ+3|=125 13|õ+ó|=1

531513●–5

5315251624●4

5318329●x=–1

53190●30

532●[3;5] |5–x|+|x–3|=2

532●60

Ïëîù ýòîé òðàïåöèè ðàâíà)

532●õ=10 (ñêîêî ëåò ìàëü÷)

Âîçð Íóðàëû)

53200●4

53203●5/4x4+x²+3

5321015155●2à²d/c³b³

53210155●2b³c/a²

5321046791●4679

53214321●x+1

53215521815●0;1

532155218152●0;1

Åí êèøè)

53222●3.

532222●3. {5–3(õ–2(õ–2(õ–2))=2

53222247216265226559592●23.

53223●37.

532222472162..●23

53223 ●37

5322323●–8/5

5322381162●8/3

53230●π/8(2n+1), nεz, π/3ê, ê*z

53230●0 |5x√x–3+x²√x–3=0|

53230●5/4x4+x²+3

532314●2√14

5323241223●7/23

532358323312233622●–2.

5324●5–24 | ((5³))2)–4) |

5324233242●8.4

532432●1/3

532493521●–1 2/3

53253●(1 1/4; 3)

533●0 y=5cos3x x=π/3

5331282●n=29

5331282522●äà,n=29.

Ã

Ã; 12 ã.

533258●(–3; 1/3) |5 3–3x²>5 8x|

53332●³√4+³√2+1

53335●(2;3),(3;2) {õ+ó=5 õ³+ó³=35

5335●–1/2cos2x+C u(x)=sin5xcos3x–sin3xcos5x

5335153774912●7

53352●1.

53353●(2;3),(3;2)

533727●90 2/7.

53379425●(–¥;–4).

534●x>4/3

Õ â2

Õ2

5345321537286●–59

Ì.

5347342900●a²√ab

Y.

53486●b1=6, S5=726

5350●1

53505247552=1

Ãðàäóñ (áîëüøè óãîë)

53512●[–1;–1/5] {5õ–3/5õ+1≥2

53514●(-∞;-17/19)

535180●1.

535223●2/(c²+3c)

5352536101●2a+b–1

5353●cos2x {sin5x• sin3x+cos5x• cos3x

5353●–ctgα {sin5α+sin3α/cos5α–cos3α

5353●tg α {sin5α–sin3α/cos5α+cos3α

5353●x²–10x+22=0

53531●x=π/4+kπ/3,k*Z

5353019●1/5.

535332●(-1)ê+1 π/6+πê/2,k*Z

X2

A

5353860●√2

535435352132531516●2

5355214 ●y=a√a/4√5b²

×

×àñîâ

536223●5x4+8x3+8x/12+C

×

53657217=119/3

536601●10√3ñì²

537●(21;16)

53712●3

5376122...●5/3;17/12;7/6;2/3;1/2

538●[3; ∞)

53821●(-∞;-6]

Ñì (âûñ ïèðàì)

539270●8 f(x)=5x3+9x–27,x=0

539270●3

Ñì

54●õ²+ó²+10õ–8ó+25=0 (óðàâ îêð ñ öåíòðîì (–5;4) îñè Îõ)

Ïëîù áîê ïîâ êîíóñà)

54●(15)

54●1 1/4-x/4

54●24√6

54●100 ; 80

Ãðàä ìåðà áîëüø óãëà)

54●y=1 ¼–x/4 (Íàéäèòå åé îáðàòíóþ)

54●10√x–4 cosx+C | f(x)=5/√x+4sinx |

Íàéäèòå îáúåì êîíóñà)

54●12π ; 54=15π

Êã (âîäà ïðåñíàÿ)

Îáúåì ïèðàìèäû)

Cm

54●36π cì2

54●36√3

Ordm;

54●81√3ñì² (ïëîù ïîëí ïîâåðõ òåòðàýäðà)

54●9 {à5·à4=àõ, íàéäèòå õ

Ñì (ÂÊÑ)

Îïð V êîíóñà)

54●40

Íàéäèòå îáúåì ïèðàìèäû)

54●ó=4–õ/5 ( v=–5+4 êåðè ôóíêö )

Êã

54●π/3(2n+1)

N

54●π/5n / n*Z

54●π/5ê,ê*z {cos5x cosx=cos4x

54●π/2(4n+1),n*Z

54●(–∞; log54] |5x≤4|

Êã

Ò,2-100ò

540●9 |log(x–5)/4=0|

Êã (Ñêîêî ñàõàðà â 40êã êëóáíèêè)

540●πn/5,n*Z

Ò,100ò

È 100

5402484231205049217●–38,4

M ; 100m

Êã.

Ò; 100ò

Ò; 100 ò..

541●(ñ+1)(ñ–1)22+1)

Äâå

54114591●1000

54118191110193●7

541255●2

5413●2,6 ;0,2

514381●0 | log5 log4 log 381|

5414●0,5√4x+x5+C | f(x)=5x4+1/√4x |

5414622●√k+1

54162564125●3

542●x5+4√x+C |f(x)=5x4+2/√x|

54221●±Ï/6+Ïn;n*Z;±1/2arccos(-3/5)+Ïk,k*Z

54223323●–√3; 1;√3

54228232422●–8a²b²–9ab²+7ab

Ñì (Òîãäà ýòà ñòîðîíà ðàâíà)

54230832●1

5423221●(x+1)²(x-1)³

542322330●–√3; 1; √3

54240●1/4(arctg 2/5)+kπ/4,k*Z

54241●(10; 5)

54252●3

542522●2

5425616●±20

5425910256●19 êì/÷àñ.

54271121●√274

Âû÷ äëèí âåêòð à)

5428●12êì/÷

5428252●12

543●D(y)=(–3/4;+∞)

543●0

543●(-3/4;∞)

543●π/4

5430●10

Kg

Äíåé

Äíåé

Äíåé

5431●2

Êã

5432●10 {A(–5;4) è B(3;–2).

5432●õ5–õ3+Ñ

Ñì (Íàéäèòå åãî ïåðèìåòð)

543212345●3.

5432777●0;1.

543320251●58

543320251121●58.

5433254332436●1/³√a²b

543532516●–1

54354●1

Ñì2

54363●30π ñì²

5437●(9; 4);(4; 9)

54381●0

544●à |à5/4:4√à|

544●4õ³-3õ²-4/õ²

544●òåí áóé³ðë³, ñóé³ð áóðûøòû.

5440●3940

5440●8,8 ( y=5x–4 ïðèí çí 40 )

5441●(81; 16)

54412●3õ²+8õ+2/õ3

5445●16b²–25

54454165●1

Èëè 4

5442 ●–1/2.

545●25π–50√2/8cm²

54520●íåò ðåøåíèè √õ+5+√45=√20

54520●æàóàáû æîÊ √õ–5+√45=√20

54532512●à+b/2

5454●5/3 |√x+5/x+4√x/x+5=4|

5454●2sinα |sin5αcos4α–cos5αsin4α+sinα|

Sin9õ

5454●2 2/3 |sin5αcos4αcos5αsin4α+sinα|

54540●π/2+πn; n*Z |sin5xsin4x+cos5xcos4x=0|

54540●[4/5; 5/4) |5õ–4/5–4õ≥0|

54540●(–1;7),(0;8),(–5;2),(1;5)

5456●5/3

5460●13

5460●MA=3√3cì, V=12√3 ñì³

54602530●2

Äíåé.

54630●π/2(2n+1),n*Z; π/4(2ê+1),k*Z;

|sin5x sin4x+cos6x cos3x=0|

54630●π/4+πn/2; π/2+πn;n*Z

546362550●–1;1;–√5;√5

5465221●2

5470●62

54750●200, 250, 300.

5476●4x4√x–6x6√x+c

5480●20êã (Ìîðñêîé âîäû 5%, 4%,80êã)

54802●1

54812●–6 2/3.

548625●8/3

548802797877..●13,12

549●2:3

5495247●(2; 2)

54974●±3

55●(0;10) |5–õ|<5
55●(5;∞)

55●(–5;0) ( 5–õ/õ<–x/x+5 )

55●1/√y |(5+√y)/(5√y+y)|

55●1/x•ln5+5x•ln5 |y(x)=log5x+5x|

55●1+1/2√x y(x)=(5+√x)(√x–5)

55●27

55●31

55●5x–1/5sinx+c ( f(x)=5–cos5x )

55●a)x1=–5,x2=5;á)xmin=x1,xmax=x2

55●tg3α |sinα+sin5α/cosα+cos5α|

55●27,6

55●5(b+5)

55●5•e5a/e5a+1 |ln(5–x)=lnx–5a|

55●b²–25a² {(5a+b)(b–5a)

55●1/25. |√logx√5x=–logx5|

55●x*Jok |x+5|=x–5

55●62° 30 ìåí 117° 30

55●cos4β

Äíåé

55●a)–5;5 á)íåò â)(–∞;0),(0;∞) (ó=5/õ–õ/5)

55●à–b/5

55●cos4β |cos5β cosβ +sin5β sinβ|

55●m+n/5

55●5x•ln5–5/x |y(x)=5x–5lnx|

55●5/x–1/xln5 (f(x)=5lnx–log5x)

55●(x–y)(x4+x³y+x²y²+xy³+y³)

5502●5x+1

550225550●2,5

551105●–1

5512●(–1)ê+1π/24+π/4k, k*Z |sin5xcosx–cos5xsinx=–1/2|

55120●2

55125●3

5512521●–1.

Ë

55151358●3.

551525●3

552●–14 |(õ;ó ) {x–y=–5 √x+√y=5, íàéäèòå x–2y|

5520●11 (55 ñàíûíûí 20%òàáûíûç)

X

5525●{√5; 25} |log5x+logx5=2,5|

5525●(√3;25]

À

U(0;1)

553●(–2;–7);(7;2)

5530105●2√6

553100016●18.

55310001●18

553311●x≤3 | 5x–5x–3/3≤11 |

5534●48 |(õ;ó), {ó–õ=5, √õ+√ó=5,íàéäèòå 3õ+4ó|

5535●3(a–5b)(2a+b)

X

554125●2.

554228●24,9 êì/÷àñ.

55424220●135°

554252●1,25.

55432●3

554532●0;1;3.

555●(0;2) {|5–5õ|<5

555●20

5550●0 f(x)=e5x+e–5x/5 f(1)

5552●3

555275●5

5554●25

5555●(m/n)m+n

55551●5ln(x–5)+cos(5x–1)+C

55551213●1

55555549●–5

55565●(√6+√2)/4

55565●√6+√2/16. |cos5º•cos55º•cos65º|

5562●±1/5•àrññîs(2/5)+π/30+2π/5ê,êεz

5569●36cm³

5591135●3.

56●(4;9), (9;4) |{√x+√y=5 √xy=6|

Ñì (Íàéäèòå âûñîòó ïðèçìû)

56●(–∞; 0) U [2; 3] |√ó=5–õ–6/õ|

Ñì

56●60π ñì² (ïëîù áîê ïîâåðõ öèëèíä)

Ñì (Íàéäèòå áîêîâîå ðåáðî)

56●√43

56●48ñì³ (îáúåì êâàäð ïèðàì)

C; 10c

56●sin2α/cos3α

Ñòîðîíû ÂÑ)

560●7.5cm²

Ïëîù ÀÂÑ)

560614●[3;6)

Íà 160

Ñì (ìåäèíàíà ïðîâ ê áîëüø ñòîð)

56101 ●–60

Ñì

Cm

N

561208●1,8

561312910●1,9.

561452312●0,7.

Mn.

5616●–5 1/6

Ìèí;54 ìèí

561829●18

562●(–∞;0)U[2;3] {5–õ–6/õ≥–2

5621451561125134512059●5/6.

5621756217●–2

56218●[–5;–3)

562213●(3;2);(–3;–2);(–2;3);(2;–3).

56225●(–3;-2)(3;2)

5623●–5/6 |log(5x–6)=log2+3|

Ñì è 8 ñì.

56236●10

5625●14 |56ñàíûíûí 25% òàáûíûç|

5625●±1/5arccos(2/5)+π/30+2π/5k,k*Z

56252●(–3;–2),(3;2)

Êã

56290●{3;2} |(√5õ–6–õ)(õ²–9)=0|

56290●2;3

563132121●x<7/5

56374354…●–3

563743541935●–3

Ñì (ìåíüøèé êàòåò)

5642●8x–6/5–6x+4x²

Ñàãàò

565●16ì²

565●4,5

565●16 (ïëîù ∆)

5651●0;1.

565223●–3;1

565223●(–3;1)

565223●{–3; 1} |log5 6=log5(x²+2x+3)|

56551021●0; 2

Cosx

5656●f(x)=–cosx

565656●8

566●96 ñì²

5660●6√3cm² (ïëðù ÀÂÑ)

5660●7,5 ñì² (ïëîù ïðîåêöè ýò ∆ íà ïëîñêñòü)

5660●10√3 ñì²

5660●10√3ñì (Ïëîù ∆ÀÂÑ)

5660●18

5660614●[3; 6)

566134121●õ<7/5 {5õ/6–6õ-1/3+4õ–1/2<1

567●211

567●35√6/24.

Ïðîèç 3-4 ÷ëåí ýò ïðîãð)

567302156●1/5.

56754●–728/27; 364/27

Ñì (Íàéòè ðàññò ìåæäó íèìè)

568●35√2cm² (ïëîù äèàã ñå÷åíèé)

568●7.

568●35Ï2 cì²

5684186435●235,4.

569●10√2 ñì²

57●õâ2+óâ2+10õ-14ó-7=0

57●[12;+∞]

57●[7;+∞) {ó=|õ+5|+7

Ïåðèìåòð)

57●–1

57●34

57●17, 19, 21

57●5(5+√221)

Óê çíàì äðîáè 7)

È 8 (Íàéäèòå ýòè ÷èñëà)

Îòíîø ñèíñóñà óãëà À ê ñèíñó óãëà Ñ)

57●7/5π

57●83

57●√84/√5+√7; √60/√5+√7

571131911●1 3/11

Ordm;

5712●90° (Íàéäèòå áîëüø óãîë ïîëó÷åííîãî ∆)

572●–2·57-2x·ln5

ABC)

572128247135088043●3.

5725●√5; 2,5; √7.

57257552●1

Ñì

573119●5√34/34

573275128●(2;1), (-2; -1)

57452844217145●3 5/6

5749125●1,5

5750750●0,05

5763415●125/78.

57636075●11,31

575075001●0,05

5763415●125/78

Êîîð òî÷êè D(x;ó)

5780●(-14;8)

5780●(-1.4;8)

5782335●3,4x+11,5y

Cm

5795●1230

58●–5 cosx+8x+C |f(x)=5sin x+8|

Ïëîù ïðÿì òðåóãîëüíèêà

Êã

Ã(îâîùè)

580161●Ǿ

581752●468ñì²

581752●448ñì² (ïëîù äðóãîãî òðåóãîëüí)

Íåò ðåøåíèè èëè îòâåòà

O

Êã

Êã

58113●(75 j/e 57)

Èà (90; 75)

Ìóøå)

581752●448ñì².

582334●12

582375●24,16,18.

58316332●9

5834●6/5

5841556●2*77/96

Ñì è 7ñì

585●1

585●–1. |tg(–585º).|

585●–6 è –11

585●ÀÄ=3,5ñì; ÑÄ=5 ñì.

585012●5280 ñì²

58522●250ñì² (îáúåì öèë–äðà)

585525●15

587●m>15

58781231●d=1,2, a1=3,9.

587812●d=1.6; a=3.9

589183727●290,5.

589183●290,5

Ñì è 4,5 ñì

59●25√31cm³ (Îáúåì ïàðàë–äà)

591127●–4,7 |à5=9,1; à12=–7|

5911355●3

591252●16√26 ñì²

591334●5/4

5913515●3

592●25a2n-90ànâm+81â2m.

592920●100

Îïð ñèíóñ óãëà)

5940●11

595959●√3

5971523●16/45

599389222●√3;3

ABCD)

6●10,15

6●216ñì²

Ordm;

6●1

×

6●18cm² (Ïëîù êâàäð ñ äèàã 6ñì, ðàâíà)

6●–18 (cêàëÿð ïðîèç AB•BC)

6●9 π

Ïëîù êðóãà äèàìåòð 6)

6●36

Ïðîèç êîòîðûõ íàéáîëüøåå)

6●300π –200√3/3π% (Îïð % îòõîäà ìàòåðèàëà)

Ñêîêî ëåò îòöó)

6●9√3π ñì³

6●9√3 cm³

6●9π cm³

6●6 sinx+C |f(x)=6cosx|

6●9π ñì² (ïëîù êîëüöà çàêë ìåæ âïèñ â∆)

6●õ=4 |ó=õ+√õ–6|

Äíåé

6●√6/6(a³-b³)

6●1/2 |sin(arcsin(sin π/6)|

6●42

Ñì.

Êã

Ñêîêî äàóõçí ÷èñë äåë áåç îñò 6)

6●27√3cm² (ïëîù ïðàâ ∆)

6●36cm³ (Íàéäèòå îáúåì ïèðàìèäû)

6●4095

6●9π ñì²

6●Ã=30° |Ñêîêî ãðàäóñîâ ñîñò π/6 ðàäèàí|

60●cos φ=1/√3 (íàéä óãîë φ âåêòð à è (b+c)

60●1/4*S²/a*√3

60●(a²+â²)√3/4 ñì²

60●2

60●2(àáñîë âåë âåêòîðà a+b+c)

Îòíîø ïëîù áîê ïîâ êîíóñà)

Cm

Ordm; (Âû÷èñëòü óãîë ÄÀÑ)

60●12; 18

60●7 1/3 |ó=√õ, ó=6–õ è ó=0|

60●37,5% (Ñê–êî % ÷èñëà âñåõ ñîñò ëåãêîâ)

60●√66(a³-b³)

60●à²(2+√13) /√3

60●(a³-b³) √3/12

60●{9}

60●600; 600

60●9 | x–√x–6=0|

60●1,6

60●√3(√3+1)a² (ïîëíóþ ïîâåðõí ïèðàìèäû)

60●30

60●3êì/÷

60●12√2 ñì²

60●150 ñì² (ïëîù ïîâåðí êóáà)

60●1/8 |ó=sinx•cosx, îñüþ 0õ, õ=π/6, õ=0|

60●kπ |sin(x–6π)=0|

Ñïîðò ëàãåð³íäåã³ òóðèñò

òåì³ð ñòàÆ:60êì;3,5ñ

600●–1/2 |cos(–600º)|

600●–0,5 |cos(–600°)|

6002216●9

6002100226●4800ñì³

60023026●4800 ñì³ (îáúåì ïèð

6002502003●40 êì/÷, 50 êì/÷

60044●2

600450●à√3/4

60054●20 (Ñê–êî ìàøèí áûëî â çàêàç 1íà÷)

Ìàëü÷ ó÷àñòâ â ñîðåâíîâàíèÿõ)

6010●10(√3+1)

Ì.

6010●200 π ñì² (ïëîù ñå÷åíèÿ)

60104●O(–6;4), R=4

60105●42.

Ãå òåí áåëãèñèç ñàíäû òàá)

Ãà

6012●9 (y=6x, y=0, x=1, x=2)

6012014●π/6+2π/3n,n*Z

Ñì

Ñì

601282●64 ñì² (ïëîù îñí ïðèçìû)

601445●343 ñì³

601445●343cm²

Ñì (âû÷ ïåðèì ðàâíîá òðàïåöèè)

6017●34

Ñì (Âû÷ ïåðèì ðàâíîáîêîé òðàïåöèè)

602●–x²

602●42 2/3

602●8√3

Ñì (äëèí äèàã êóáà)

602●√7 (60ãðàäóñ 2a+b)

60201337●480 ñì²

6020155●1

Ñì (ïåðèì òðàïåöèè)

M

6021●8

6022●√3/2 |π/6 ∫ 0 dx/cos²2x|

60221●√3/4 |π/6 ∫ 0(2cos²x–1)dx|

602216●9

6022116●24

Ñì

60223151●3/5

6023●√7

Äèàã ëåæ ïðîò óãëà)

6023●2/3(sin3x–1)

6023●300; 180; 200

602216●9.

6022116●24

60235●12;18;30.

6024●40

6025●65π ñì²

6025●8. {y=6sin(0,25πx)

6025●8.

Ãà

Ãà, 20 ãà, 25 ãà.

602592582.. ●1830

60259258257242322212●1830

6026●150 π ñì³ (îáúåì öèëèíäðà)

Ñì

Ñì

603●3.

Ñòîðîíû EF.)

Ãà òåí òåí áåëãèñèç ñàíäû òàá)

60315●60000+300+10+5.

6032●4√2π

Ãà.

Ñì.

604●18√3

6040316●40

60404●1,6

604154754●cos(30º+α/2)

604224●1/3 |π/6 ∫ 0 (sin4x•cos2x+sin2x•cos4x)dx|

6044●2

6044754●cos(30+α/2)

Îòíîø ñòîðîí)

6045●à√3/ 4

60456●12√2cm²

605050●48ñì (Íàéäèòå âûñîòó ∆)

Ñì

Êì

60523225●6;14

6053●b1=96; S6=189.

Ñì (ãèïîòåíóçà)

606●18 êì/÷, 24 êì/÷

Êì

60643●9,5

6070130100●115° (×åèó ðàâåí ñàìûé áîëüø óãîë 4–óã–íèêà)

6070●50º (<ÑÀD)

6070●60º (<ÑÄÀ)

6075●√3/2

6075●√6/2 (ÂÑ/ÀÂ)

Ò

Ñì

Ò;2000ò

Êì

Ñì

6095●à√3/4

Ñì

Cm (Íàéòè ïåðèìåòð òðàïåöèè)

Ñì

6101445●70 ñì³ (Âû÷ îáúåì ïèðàìèäû)

6101445●70cm²

61030●15.

ÀÂÑ

Åêèíøè áèêòèãè)

61060●14

610610610610610610310310310●211

61073●3/14(10+7x)4+C

6107420●(3 4/9; –4 1/3)

6108●8

6108●4,8

Cm

611●5

611●5 |f(x)=x6+1/x. f(1)|

Ïëîù ýòîãî êðóãà)

61112●221π ñì² (ïëîù åãî áîê ïîâåðõ)

61114●(12;–6);(2;4) |{õ+ó=6 1/õ–1/ó=1/4|

6112●72.

6112●6√6

61145●à1=2,ä=3

Ctg6x

6116112●22.

61165●2

6117●7

6118●Ýêñòðåìóìà íåò |ó=6õ–1/1–8õ|

612●õ≥2 |6õ≥12|

612●2:1

612●(–1)k π+6πê,k*Z {sin x/6=1/2

612●(16;4)

612●±2/3π–π/6+2πê,k*Z

612●±π/18+π/3n, n*Z

Sina

612●Ñ1=3; d=–1,5

6120●–1/2

6120●24√3sì² (ÍÀéäèòå ïëîù ðîìáà ÀÂÑD)

6120●24√5cm²

Ìåòð

6120●18√3ñì² 6cì è òóï óãëîì 120º

6120●±2/3π–π/6+2πê,ê*Z {cos(x+π/6)+1/2=0

612003●6

Ì (Íà ïîøèâ 6, 120ì, 1,2ì)

6120121554●64

Ì

61203●6

Ì

61217●24·1/7.

6123●π/3k; π/6+2π/3k, k*Z

61231202514●3.

6123121●9

6125●3

6125●3 |√x+6–√x+1=√2x–5|

Íåò äåéñòâò êîðíåé.

Øåøèìè æîê

Ñì;14 ñì

6126486●–728

A

A

6128●3

612810●π/4k,k*Z

Ñì (Íàéäèòå âûñîòó öèëèíäðà)

6130●(–3;–1/6]

613242●2a2cx+3axc4

61328 ●3

613321200●–2

Èëè 52,5

È 2.

61424372●R–{–2}

M(2;-3)

6147332●5

6152●–11,3

616●–10; 3 {√(x+6)(x+1)=6

616●√3/3

6161●3.

61613●3.

Ñì

6175613●(5:–2).

618●b1=12, q=0,5 (Îïð áåñêîí óáûâ ãåîì ïðîãð)

618●3 (ñ îäèí ïðîèç–òüþ)

61822●4

618232●x≥3

6111119919●8/19

6192●–567

619417●x=2

62●1 |x=π/6 f(x)=sin2x|

62●32

Òîãäà ñòîðîíà ðîìáà ðàâíà)

Ïåðèì ïðÿìîóã)

62●(16; 4)

62●18π√2ñì²

Ñì

62●6 sin x+2x+C |f(x)=6 cosx+2|

62●72

62●78Ï√2 ñì²

62●848 (àn=6n+2)

×àñ

62●π/3

62●[–1; 0) |log6(x+2)≥ log(–x)|

62●[2; 6] |f(x)=√6–x–√x–2|

620●36

Êã

620●60cm²

62010●40 êì/÷àñ

6205132●ê³m³n²

6211335122●2a+3/3-4a

6212●3x²+2x–3 |f(x)=6x+2 F(x), M (1; 2)|

6212●2x²+2x+6 |f(x)=6x+2 F(x), M(–1;2)|

62122325●6; 14

62122●π/2k; ±π/6+πn

62122325●6; 14.

621310●{3;–1;–1}

62136●(–3/2; –2/3)

6214●132

6214520●3

62151●–1/3; 1/4

Íåò ðåøåíèé.

621524●(-∞;2/5)U(2/5;+∞)

Íåò ðåøåíèé

6216161●0

62162●36 ñì² (Ïëîù êâàäð ïîñòð íà ìåíüø)

X-1

622●24

Äëèíó ñòîðîíû AD)

6220●20 x(x–6)/|x²+x–2|≤0

6221●2x³+x²+x+C |f(x)=6x²+2x+1|

62212●2x³+2x+6 |f(x)=6x²+2, F(x), M(–1;2)

622179●õ=–1

6222●7.

62221●π/4+πk,k*Z;–arctg5+πn,n*Z

62223●(–∞;–3)U(1;+∞)

622232●6cm³ (Íàéäèòå åãî îáúåì)

6223●(2;4);(4;2) {õ+ó=6 log2x+log2y=3

6223●–3cos2x+2sinx/2–5/2 |ó=6sin2x+cos x/2, x=π/3|

6223●{–3;1} |log6=log(x²+2x+3)|

6224●{π/8+kπ/4,π/4+kπ}

Dm

62263●(–∞;–3)U(1;+∞)

622832●(2;2*2/3)

Íåò ðåøåíèé

623●2 1/2

Ñì (Íàéäèòå ïåðèìåòð)

6231●–π/6+πk, k*Z

62311311●3;1

623122512●–3m²

6231230●9

6232●2x²+3y².

623222●11.

62325132●–13

Log32)

6233●{–3;1}

62330●2 (6 2/3 êì–äèí 30% òàáûíûç)

6235●[–3; 5)U(5;+∞)

6236●4

6237827●–3ab/4

624●–0,25cos 4x+2x³+C |f(x)=6x²+sinx|

Íàéäèòå íàòóðàëüíûé ÷èñëà)

Cm

6242●24cm³

6242●24π ñì³

Äíåé

6243514238226●16

62456●312, 184, 128

Ñì (ðàçíîñòü êàòåòîâ)

625●1+√5

625●5+√6–√2 |√6–√2+5|

6251●1;–1/6

62510●n=8,b8=–768

62510539294375030●500

6251413231●2a+3

Äì (Íàéäèòå âûñ öèëèíäðà)

Íàéäèòå ýòî ÷èñëî)

62522252●5:3.

6252330●(-1,6)

625255555555555●0,4

62527●(-1)k π/6+πk

62527●(–1)kπ/6+πê;(–1)narcsin 1/3+πê,k*Z,n*Z

Ñì

625512506●1,5.

62611231●2

626360●–1

626454●728

626612●1/6; 6

626626●4(√26+2√2) |Íàéäèòå ñóììó ìåäèàí ∆ÀÂÑ|

62682●–3;0

Êã (Áóëäèðãåííèí íåøå êóìøåêåðè áîëàäû)

6270●–1/6

6270●–7/6 | 6õ²+õ–7=0 |

627131●–4;–3

Õ-1

628●xmin=–2/3

6291●3xn+1(2x+3)

6292●2ab/3c²

63●108π ñì² (îáúåì öèë–äðà)

63●(2;4)(4;2)

63●216 ñì³ (îáúåì êóáà)

63●216 ñì² (ïëîù ïîë ïîâåðõ êóáà)

63●–3 (õ=π/6, f(x)=cos3x)

63●–π/6+πk, k*Z {tg(x–π/6)=–√3

63●19

63●36 ñì (ïåðèìåòð ∆)

Ê

63●(–∞; 1/3] |6φ(x)=xe–3x|

63●[–3;+∞) ó=6√õ–3

Êîíóñòûí êîëåìè)

630●(–π/3+πn;–π/6+πn],n*Z {tg(π/6–x)–√3≥0

Cì (âûñ ïðàâ ÷åòûð ïèðàì)

Íàéäèòå îáúåì ïèðàìèäû)

630●π/4ñì². (Íàéäèòå ïëîù îñí êîíóñà)

630●(–6;3) | x+6/3–x>0 |

Cm; 36cm (Íàéòè îñí òðàïåöèè)

Cì (äëèíà äóãè îêð ðàä)

Ñì (ìåíüø êàòåò)

Ñì.

63030230230●3√3

Íàéòè ýòè ÷èñëà)

631●4 (3x+1) 1/2+C |f(x)=6/√3x+1|

6310310833●–57

63104310833●–57

6312●π/3 |f(x)=ctg6(3x–π/12)|

63120●(–∞;-4]

63120●[-4;6]

631224●õ=2

631229●(7;4)

Áåñêîí ãåîì ïðîãð 6;3;1,5)

632●–1/2

N

632●±π/6+π/6+2πk,kÎZ

632●3x²–3ctgx+C |f(x)=6x+3/sin²x|

6321●0

6321●(–2/3; 1)

À

63218632218232429●181α

63221353●3(2+√2+√10)

6322728●5

632272832792●5

6323●25 |√6+3√õ+2=3|

632323●1

63241●[3;6]

632713●–2;1–9

633●2π/3

633●πê,k*Z |tg(x+π/6)=√3/3.|

633182●7a/2c

N

633354●370

6334593510●–22,1.

Íàéäèòå îáúåì ïèðàìèäû)

×ëåí ïðîãð)

6342●2√3/3 ñì; √3 ñì

6343154●63

63451226357●7/4.

634513413331389178●–20 1/3.

Ò è 3ò.

63612●30°

Íàéäèòå êîîðä òî÷êè ïåðåñå÷)

626360●–1 {–6õ²+6õ+36>0

63451226357●7/4.

634513413..●–20·1/3

634513413331389●–20

Ò; 3ò.

6352●(4;2)

635325215●12.

63533145562112525●2,5.

|(6 3/5–3 3/14)• 5 5/6/(21–1,25):2,5 |

63533145562112525●5/2.

N

63548337●1/8.

6356●câ2/3

635635142●2

6357287●1/2

636●1

Ordm;.

A

6362336645●216

6366211●(5; 3)

Êì

63823447189●–11

Ñêàëÿð ïðîèç)

639320●(3;2);(–13/3;–5/3).

64●0,2(õ-6)5+Ñ |f(x)=(x-6)4|

Ñì (Íàéäèòå äëèíó ÎÊ)

64●256/3π

Îáúåì ïèðàìèäû)

64●Ǿ |√õ–6=√4–õ|

64●2 (ðàä ìåíüø îêð åñëè ðàä 2–õ äðóãèõ 6 è 4)

Íåò êîðíåé

È 10

640●[–4; 6]. |(õ–6)(õ+4)≤0.|

640●14

ϳø³í³ êâàäðàò òәð³çä³ æåð

áөë³ã³í³ң Æ:6400ì2

64025●–1;–1/3

64025●{-1/3;-1}

6405●5376

64050●(–0,5; 1.5)

Ã

È 8, 4, 2

64155418●(–∞; ∞) {(6õ–4).15≥(5õ–4).18

642●(30:24:10,2)

642131632●x<4

Ñì (âûñ áîê ãðàíè ïèðàìèäû)

64222●352ñì²

64222●352 ñì² (Íàéäèòå ïëîù ðîìáà)

642246●x–8

6422478●1/16

642322●a²(a+1)(a³-a²+2)

6424222●6b²+12x

Êã

Êã,24 êã,10,2 êã.

64245425●30; 24;10,2

6426642630●1/2.

643●48√3ñì²

643●48√3 (Íàéäèòå S ∆)

643●6.

643●±6

643●3

Ñì (ñóì âñåõ ðåá êóáà)

64307●164 ì² (ïîëí ïîâåðõ ýò ïàðàë–äà)

Ì

6432●–2 5/8

6432●(x–1)x² |x6–x4/x3+x2|

6432151●F(x)=2/4–3x+5

64323●õ>1 |6+x>4x–3(2x–3)|

64325●(6-à) /9

6433323●256

643343●–9

64350●(–5/3; –1/4)

Õ2

À

645●25 %.

Ñì.

6450003●500.

645160223134●1.

645546●(-∞;+∞)

645680●5

6464●(8a3b2)2

Íàéäèòå ýòè ÷èñëà)

648●1/2

6492●(–7; 7)

65●{±1;±11}

65●√66/√6+√5

C; 10c

65●2,25π ñì²

65●(1-10, 2-15)

×àñ;15 ÷àñ

65●60π äì² (Áîå ïîâ öèëèíäðà)

Äì (áîê ïîâ öèë)

65●√66/√6+√5; √55/√5+√6 (Â ïðÿì ∆ êàòåòû)

×àñ; 10 ÷àñ.

Ïàðàõîä æûëä өçåí àғûÆ:6ñàғ 50ìèí

6501220●40

6504●676

651●10

6510●40, 25

651020●40; 25

65102074●40: 25

6518●–8

652●4õ³+3õ²-3/2õ²√õ

652117●1; 4/5

Ðàá çàâîäà)

6533●2•5√9

6535●22,75

Ñì

654●3 1/3

654●450 ñì²

654●200,240,300

654●–2175 (6a+5b/b, a–b/a=4)

Êã (èçþìà ñóø âèíîãðàäà)

6540●26 (65 ñàíûíûí 40% òàáûíûç)

65410●0

654740●200;240;300

654750●200, 250, 300.

6560●7.5cm²

6562●–4

6566●24

6566●24 (äâå áðèã ñòóë 1–ÿ 65;2–ÿ66)

A

Îïð ÑÂÊ)

658472●(–3;2)

6593252217●7.

66●m>1 (âåðí ÿâë ñîîòíø)

L6x

Å6x

66●1/5 sin5x+C (f(x)=cos6xcosx+sin6xsinx)

660●30π ñì²

660●9√3sm² (×åìó ðàâåí ïëîù ïðÿì–êà)

Ìì.

660●27π ñì² (Íàéäèòå îáúåì êîíóñà)

660●27π ñì²

660●9√3cm³

660●72√6

660●S–50

Êîíóñ òàáàíûíûí àóäàíûí)

661●(-∞;∞)

661●(–∞;+∞) {sin π/6 cosx+cos π/6 sin x≤1

66101082●128

6611●2. {log6x+log6(x+1)=1

6612●–π+2πn≤x≤π/3+2πn,n*Z |sinxcosπ/6–cosxsinπ/6≤1/2|

66123●π/3n,n*Z; π/6+2π/3,k*Z |sin 6x+cos 6x=1–2 sin 3x|

661263●9.

N

661722●õ²+ó²–4õ–6ó–12=0

662010●10

66210●10

6622●π/4+πn/2,n*Z

66221●13/16

66233666336336●7

663●60

Ordm;

66305●√6/√5

Îïð êîñèíóñ óãëà ìåæäó âåêòð)

Ò

66444216.. ●8

6660●288 √3ñì³

666213●2

667●11 ñì (äèàã ïðÿìîóã ïàðàë–äà)

Ñêîêî ëåò ñûíó)

67●6–√7

×

6709637053●4

6710●3

6711●252 ñì²

67123173625413065●1·1/9.

67213●10

672216722●1

6723511808121638●3·5/8

67240●[1; 3,5) |log67–2x/x+4≤0|

67247227●20–4√7/3

67318●{–³√2; ³√9}

67364552●(4;3).

674●(6x–7)5/30+C f(x)=(6x–7)4

6740●200; 240; 300

6750●200; 250; 300

678826●√33

Ðîìá

Ðàçíîñòü äèàì)

Íàéä ðàç äèàì îïèñ è âïèñ îêðóæ)

Ñì

68●(–∞; 14) x–6<8

Ãèïîòåíóçà)

Ñì (êîíóñ)

Ñì (Íàéäèòå îáðàçóþùóþ)

68●24 ñì²

Ñì

68●6 ñì (øåíáåð äèàìåòðëåð³í)

68●680;1120;1120

68●7

Ñóì ðàä âïèñ îïèñ îêð)

68●94,08

Ï

68●80

68●q=2

Ordm;

Îïð ãðàä ìåðó äóãè íà êîò îíè îïèðàþòñÿ)

Ñì,

Ñì, 4,8ñì

681●26ì² (Íàéäèòå áîê ïîâ ïèðàìèäû)

681●26cm²

6810●Ò³ê áyðûøòû.

Ñì (äëèíà îêð)

68108●240 ñì²

681012461●4

681013●12

Ñì

6813●240cm² {ïëîù ïðÿìóã

6813●12 ñì {Âûñîòà ïèðàìèäû

6813127●34+7√2

68150●24 ñì²

68226822●–1

Îáúåì ïèðàìèäû)

68240●180

Óøáóðûø)

68305●120 ñì³

68305●120

683273●17

684●–2; -2/3

684●48

68460●34√6 ñì²

68460●12√8cm²

68460●12√6ñì² (ïëîù)

68460●12√6ñì² (ïëîù ∆ÀÂÑ)

68560●12√6

685●24.

6852●120

6852●120 ñì³ (Îáúåì ïàðàë–äà)

6855●160 ñì³

Ñì (Íàéäèòå âûñîòó ïðèçìû)

6860317●3,4

687●216 ñì² (ïëîù ïîâåðõ ýòîé ïðèçìû)

6874●112º ;106º

Ñì

Íàéäèòå ÷èñëî à)

Äëèíà îòð)

69●3 (x+y+z=6, yx+xz=9 x?)

69121520●100

6914●21

691229●9

6920●140

6932722●0.3

69327223913●x=0

69380●(–∞;1)U(2;+∞)

6992●6

Cm.

Ñì è 7,2ñì (îòð ðàçá áèññåêòð)

Àëãàø 20 ìóøå)

6920●140.

69327223913●õ=0.

6992●6

7●1+ln7x f(x)=xln7x

7●7-cosxsin xln7 |f(x)=7–cosx|

Ñêîêî äâóõçí ÷èñë äåë áåç îñò 7)

7●14

7●7õ(1+õln7)

Ln7

7●49cm² (Íàéäèòå åãî ïëîùàäü)

Cm;9cm

Ñì (îñåâ ñå÷ ïðÿì òðåóã)

7●p>g |p–g=7|

70●π/6+πk/3 π/8+πn/4,k,n*z

70●55º è 125º (óãëû ïàðàë–ìà)

70●110º, 35º, 35º (òîãäà óãëî ∆ ðàâíû)

70●[-7;0]

Ordm;

È 1250

70●(0;7)

70●(35º;35º;110º)

Ordm; (Âû÷ âíåø óãîë ïðè âåðø Ñ)

70●35º;35º110º

70020400●1400.

70020●1400

700234●400m².

70034●400ì²

70060802030●940

7010802068...●1

Ë

70125●(40)

70145●180

Êì.

7020●1

7020●1 |sin70º/cos20º|

7020●4 (êàêîâî ÷èñëî íóëåé â êîíöå ÷èñëà 70!–20!?)

7022057020●3/4

702625●27,49/60

7027●120cm²

70303515●√2

70322010●0

Êì

Êì.

705472●4.

7057●10

7060●500;600;700

7060●50º;60º;70º

7060●25%

70636●ó=–0,7

7075●45

707522752●100√2/7

×.

71●[–1/7;∞) x≠0

71●(–∞;+∞) |7õ>–1|

71●(–1;2) log(x+7)>log(x+1)

71●7a7x+1•lna

710●70 %. (Àêâàðèóì 7/10 ñó êóéûëãàí)

Ordm;

7105610●100π ñì² (ïëîù ðîìáà)

71060●75° (óãîë ïðè âåðø ∆)

7109●13

711●4 {√7+√x=√11–√x

711●[–3;5) |√7+√x=√11–√x|

Ordm; (Íàéäèòå íàéìåíüø èç óãëîâ)

7111●[–1;7]

Êîñ íàéá óãëà)

71125●ó=–2õ+3

71135●27

7114049●182,19/168

712009015212●(1;10)

7121●–1; 2

7121●a→–11

71212●x>1/2

71214●11

71216●776cm²

71221225●18

7122129●2; 1/2

7128●(x+2)(x6–2x5+4x4–8x3+16x2–2x2+64)

7130●21

Ñì è 56 ñì.

714●8

ÌÎ è ÌÑ)

714● 24,5 cì²

714125●19õ–9

71430●24.5cm² (ïëîù)

71430●24,5ñì³ (ïëîù ∆)

7149●x≥–4

715●x<4/7

7150●–15/7

7151293113●(–12; 3).

Ñì

71530●26,25ñì² (ïëîù ýòîãî 4–óãîëüíèêà)

7158●88cm²

716●0,4375

7161697●6

716220●1

716516●12/16 (7/16+5/16)

71721494●3

7175●–5 ( log7(1/x) x=75)

717711314●õ>–5

718102383●10

718116157●4/7

7181697●6

718517265●55

Cm. (Âû÷ ñðåäíþþ ëèí òðàïåöèè)

71912●õ>0

Ordm;

×åìó ðàâåí óãîë ìåæäó õîðäîé è êàñàòåëüíîé)

Øåíáåð ðàäèóñ)

72●5; 9

72●(5;9]

Á³ð æîëàóøû À ïóíêò³íåí

 ïóíêò³íåÆ:72êì/ñ

7200400●9.

720144●12

720320●(–2;7)

7210832●–6

721174923●2;3

72120●(–1;–1/2)U(–1/2;0)

72125●63

Ïóòü òóð çà 2 äíÿ)

721354 ●6

72147147 ●0.

7215●46; 40

72152586●46; 40.

72172●128

7218●√1–t²

721929●a1=–3;d=4.

722●m+5

7221●(5;–2)

72212●(4;√3),(4;–√3),(3;2),(3;–2)

7222●–3; 1

Ñì

72226740●–3; 1

7222826…●2

722290●(–∞;–9)U[–6;6]

72232●31

7223740●–3;1

Ñì

7224921722●48/49

722533●(–8;–10)

722533●{10;8}

7227552●–2

72275528422●–2

Êì

723●217/30

723●32ñì (ïåðèì ïàðàë–ìà ABCD)

7231●217/30

723149●a1=5; S23=-1656

723●òàk, ïåðèîäñûç |f(õ)=õ7+2õ3|

723●217/30.

7232●58.

72322●0; 5

72322●1600.

7232355●2

723237●0,5.

72335●12

Ìèí (Íà ñêîêî ìèí îïîçäàë)

Ìèí

723413●36, 27 9

723427262●0.5;38/11

Ñì (âûñ ïèðàìèäû)

Ñì è 72 ñì.

7239310●–5<x<1, 2<x<3

Ðàä îïèñ îêð)

724●õ=log74/2

Ñì (óêàæ áîëüø èç îòð)

Ñì (ðàññò îò ýò òî÷êè äî öåíòð îêð)

72410●(–∞;+∞)

Êã.

7248●2m² (ïëîù äèàã ñå÷)

Ì

725●168 ñì² (Íàéäèòå ïëîù òðàïåöèè)

725●3 (ðàä âïèñ â ∆ îêð)

725●7/√2x+5+C |f(x)=7/√2x+5|

7251●õ<–5 è õ>0

725120●a1=1; d=4

72524379●2873

7253●1/3•√113

7256681212●BC→,AD→

726●(–∞;–3)U (2;+∞)

7261332169●(2;–2; 5)

7262●1331 ñì³ (îáúåì êóáà)

726454●2186

7267262●±2

Cosx.

727●1/y-√7

72767●1

727720●5

X-1)(7x-1)

Íàéì öåëîå

7293●486ñì² (ïëîù ïîâåðõ êóáà)

73●1/2. |cos(–7π/3).|

73●–2

73●(0; 7]

73●(–√7 /4; 3/4)

73●x=29, y=20 |{√õ+ó=7 √õ–ó=3|

73●343 ñì³ (îáúåì êóáà)

Ñì (áîëüøè êàòåò)

Òåê á³ð ғàíà öèôðëàðäàí òұð åê³ òàңáÆ:73;37

73101302●ó=–3

731325●(1;–2)

 2 (âî ñêîêî ðàç ìåä êîð ñòîð ÀÂ)

731523453●–1

731667●2.

731667●–2 |(√7–3)•√16+6√7|

Ñì

Ñì øàðà

732●[-5/6;+∞)

Ñì. øàðà

732●–2x?73-x?2?ln7

732●2x*7³ ln7

Õ

Ñì (Íàéäèòå âûñîòó ïðèçìû)

73213512●2

73227327272●10000.

732312●2 |√õ+7·√3õ–2=3√õ–1·√õ+2|

732312●√2/2

7323225●(0;7)(7;0)

733●(–2;5) õó+7=–3 õ=3–ó

7331●(–3;3)

7332●n–2m |7(m+n)–3(3m+2n)|

7332163●5.

73323112●24;93

73352212●44; 5,5

Íàéäèòå ñóììó ÷èñåë m è n)

734●b 19/28

734120●120(7õ6–12õ3)(õ7–3õ4)119

735●kπ/4 |cosx•cos7x=cos3x•cos5x|

M

X

735114●5

735114225●5

73512115113052140752●9 3/8

Ã.

73532●²√25-²√10

73532●³√25–³√10+³√4 |7/³√5+³√2|

736●7√3; 7; 14 (Íàéäèòå ñòîðîíû ∆)

73724163252411●–4

Ò (òîíí ïðèìåñåé â ðóäå)

M

7385354935●(–1;3)

738738●√2/2.

Íàéäèòå AD)

Ñì è 9ñì (Íàéäèòå îñíîâàíèå òðàïåöè)

74●14ñì2

74●21 |f(x)=7x√x â òî÷êå õ=4|

74●7n+4

Ñì, 5ñì (5ñì,9ñì )

74●êðèòè÷ òî÷åê íåò ó=7õ–4

740●(-∞;-7]U[0;4] |x(x+7)(x–4)≤0|

Íàéäèòå çíà÷åíèå ÷èñëà ð)

7416●–2 7x–4=x–16

À9

Íåò êîðíåé

Íåò êîðíåé

U(4;7)

7422251●0

743●2+√3 |√7+4√3|

743●84cm³

7430●π/24+π/4k,k*Z

Äì; 25 äì.

7441●x=256, y=81

74456●õ=30,ó=24,z=20 (ÿáëîê)

74521●7x6–20x4+2

Õ.

Ì.

M

748720●44,48

74872011●44;48

74874814●x1=2, x2=–2

74951424●–1.

Ñì

74951424●–1.

7497●1

Ordm;.

75●30 (×åìó ðàâí ðàçí 2–õ óãë ïðè ñòîð ïàðàë)

75●(106;10–1)

75●(106;10–4) |{lg x–lg y=7 lg x+lg y=5|

75●75

75●105°{òóïîé óãîë ïàðàë–ìà

75●32

75●√3–1/2√2

75●5•√3

75●√6–√2/4 |cos75°|

75●√6+√2/4 |sin75°|

75●375

Áàññåéíäåã³ ñó åê³ құáûð àðқ òîëòÆ:7,5

75●(-1)ê π/6+πê,....

75●πk,k*Z; π/12+π/6n,n*Z

Íàéäèòå çíà÷åíèå ÷èñëà)

75●P=5π/12 |Ñêîêî ðàäèàí ñîñò 75°|

75●–arctg 7,5+kπ |tgx=–7,5 |

750●√6–√2/4

75012801540●+,–,–

75072● 14

751●12

7510●5

7510213●6

75120●600

75121322●34, 24

7512274●9/2√3

Åí óëêåí áóòèí)

7515●√3/2

7515●1/4 |sin75ºsin15º|

7515●√6/2. |cos75º+cos15º|

7515●√6/2 |sin75°+sin15°=?|

Âåêòîðû a è b )

75153450●31

75159●27cm²

751621●6

Òîãäà ïëîù ðàâíà)

X25

Ì (Íàéäèòå îñíîâàíèå)

752●375cm³

Ìèí

752159●27cm²

Ìèí

75231●35sin x/5–2/3ln(3x+1)+C

75232552●–1/x+1.

75235736●7√3; 7; 17

Ñì

Cm. (Áîê ñòîð ðàâíà)

75257●√2

752915●27cì2

753010●25

Ñì.

75319●7125

75322●75π/4 ñì²

Ñì

Ìóøå)

7533372●2

753514●30.

75362●12

7537352●1.

75415●21/8;15/8

7544080440●176

75450● 60êì/÷

754515154575●1

75452121●5 |7,5 ∫ 4 5√2x+1/2x+1 dx|

7548●28ì●–2√3/3

Ì.

755 ●5–√7–√5 |√7+√5–5|

755722● 8 ñì², 64 ñì²

756●500

756●600

756●50° (íàéìåíüø óãîë ∆)

Êã

7560●58500πñì³ í/å 504000πñì³

75605●75

Êã

7562●{1;7}

75623●{27;13}

7567575●6+2√3

7567575●4+√3 |ctg7,5°+tg67,5°–tg7,5°–ctg67,5°|

7572●14

757512●75

757532●(-1)nπ/6+π/2·n,n*Z

7575752●0.

757580●20êì/÷

75758025●20 êì/÷àñ

75762●2500π ñì² (ïëîù ïîëí ïîâåðõ øàðà)

×àñ

7580●20êì/÷

75805●20êì/÷

758465●5x+4y.

A20

Ñì

75915●27

7598121535●640,5

76●253

7611121●c1=3; d=-1,5

76137●(2;1)(1/3;6)

762●49ó²–84y+36

762252●10 êì²

762252●10

76242●10

76242●10êì²

7635612●0,1

763565989564123611502518311418●2 1/12

76356599●10.

7636●y=–0.7

A.

765●–1. |tg(–765º)|

766●x7+6 sinx+C |f(x)=7x6+6cosx|

Íàòóðàë

Ñì

769●x7+1/9 sin9x+C |f(x)=7x6+cos9x|

77●49x²-y²

77●e7x(7–ln7)/7x

77●K>1 (K=sin π/7+cos π/7)

771286122●3,8.

7716638812●8

771730●õ ý(–∞;–2/3)U(3;+∞)

772●2 |(õ;ó) {õ–ó=–7 √õ+√ó=7, íàéäèòå 2õ–ó|

772●–2 |(õ;ó) {y–x=7 √x+√y=7,íàéäèòå ó–2õ|

772273●18.

772434215522●2

77243421545●2.

7727●9

77273●–3

775●7

7751022●14; 28

7756622218●5.

7757002●5

77727●9

77762●15.

77777222223255554●105

777777●7 63/64

7777755555559●7

Ñì. (áîêîâîå ðåáðî)

78●(1;15)

Ñ14

781011135●a<b<c

Êã

Ordm;.

78171●3.

78187818●1/2

7835359435 ●(-1; 3)

78511230●–2c³√c

7856114●1/30.

7879●8 1/81

789●5

Êîñèíóñ áîëüø óãëà)

789●12√5 (ïëîù ∆ ñî ñòîð 7,8,9ñì)

7891●92.9π ñì²

78962●8,5; 15,5

791273621612613●–1,6à–1,8b

791273728●5,28.

7913717●–53/90.

7922397●[1/2;1]

7925526●–2

79347934●√2/2

X32

79225526●–2

7925526●–2

794772125●0,1

793400●a4/b9,b7/à3

8●0 arccos(cos8π)

Ñì -ãèïîòåíóçà

Ñì

8●12; 24

8●12

8●P=12 (AC*CB)

Óãîë áèññåêòð ñ ïðÿì ëèíèåé)

8●12 (Ïåðèì ðàâíîñòîð ∆ÀÂÑ)

8●q=2

8●22

8●8xln8+ex |f(x)=8x+ex|

8●x+8ln(x–8)+C y(x)=x/x–8

8●8

8●24

8●35ì/ìèí

Ñì

S êðóãà)

Ñì

8●16ì (Íàéäèòå ïåðèìåòð ∆)

8●16π ñì² (ïëîù êðóãà)

ABCD)

Ñóììà 1 îäíàäö ÷ëåí ýò ïðîãð)

8●64(6–π)ñì² (ðàçí ïëîù ïîâåðõ êóáà)

Äèàãîí)

8●8√2 (ÑD–íû òàáûíûç)

8●V= 2Ïa³, S=4Ïa²

Cm (ìåäèàíà)

8●a=√2–1 |tg π/8=?|

8●(80;+∞) |lg x>lg 8|

80●0,8à²

80●12. (Íàéä íåèçâ ÷èñ, åñëè 80%÷èñ õ ðàâíû)

Ìàëü÷ îò äåâî÷åê)

80●50

ßâë ñîâåð êâàäð)

Ordm;

80●50°,50° (óãëû ïðè îñí ∆)

80●480

80●180; 80

80●πk/2 |8sinx•cosx=0|

Äíåé

8000251002●14

Ã

Äíåé

8003972●40,5

800592070●80;100;90.

80120●4500cm² (ïëîù ñå÷åíèÿ)

80120●4500

80120●(1-30,2-40)

801201215●13,5%

801202●13,5%

Ö; 40ö

80120720013102●30ö:40ö

Ö; 40ö

Y;40y

801245●3

8016●20

Ordm;

8020●50%

8023●384 ñì²

803●54

803●546/7

803●54 6/7. |8∫ 0 x³√xdx|

Ã

80360●350%

80474601●6√5

80529127●4

806●–4

806014●480

8074637●1

Ñì,6ñì

808204●20 êì/÷.

80935●12.

8094125834225●5,63.

81●(80;+∞)

81●[–8;+∞)

Çíàì ãåîì ïðîãð)

81●(–7;∞) |√õ+8>–1|

81●íåò ðåøåíèÿ (õ+ó=–8 logx+logy=1)

810●108√3ñì² (ïëîù ðàâíîñòîð ∆)

810●96√7

Ïëîù òðàïåöèè)

810●8

Ë ;4300ë

Ë, 4300ë

Ë,4300ë

81012●240

Ñì, 5 ñì, 6 ñì.

Ë

8102040●ctg 10º

8102450●320

81025●0,5

81040●5

81060●40√3ñì²

81063540265403902●cos³4α

Ñì

810817●–9

Cm

Ñì

Ò

8110821125124●376

8110827125124●376

8110827●376

8112●(–∞;-5) U(–5;+∞)

8112●(–∞;2)(2;+∞) {y=arctg(8x+1)+arctg 1/x–2

81130●44ñì² (ïëîù ïàðàë–ìà)

81138216●(2/3; 4)

811412942512584972●19.

8114641●1/11

8114641612112●1/11.

8114814●12.

81162434910●1

× è 24÷

812●±π/12+πn/4,n*Z {cos8x=–1/2

812●400π

Ñì

8120●24√3

Ö; 40ö

81211131012●1/14

812121●(2;6) (6; 2)

81218●12

812180200●192

81221118●9-x/x+2

812232●1

8122321412333371●1.

812251212921510●205/9.

812351212921220●–482/27.

8125●3

812816932●2/27

813●11 1/4 |8 ∫ 1 ³√x dx|

81316●5

8132●[-1 2/3; +∞)

Êì

81332●50 (à=3 t=2)

813413●243

813421●2√2;–2√2

8134913●243.

Ordm;

È 5 ÷ëåí ïðîãð)

814●3 |logx81=4|

814123362●(9+õ²+6õ)(9–õ²–6õ)

81417●1/5

Ñì.

Ñì. (êâàä ñ ïåðèìåòðîì)

81512003●920ñì²

815151●(3;5), (5;3)

Ñì

81521●4 |–8 ∫ –15 2/√1–x dx|

81534215313●7•7/20

816●80

È 6 ÷ëåí ïðîãðåññèè

816●80π ñì²

S êðóãà)

816●16√3(√3+1)/3 ñì (Íàéäèòå ñòîðîíó ∆)

81634●9(12√2+17) |81/(√6–√3)4|

81634●(√6–√3)4

816421●–8

81721828●10 000

Ïåðâûé ÷ëåí)

818●156

Ì

818●156ñì² (ïëîù ïðÿì ∆)

818●156 (S ïðÿìîóãîë ∆)

818223●(9;9/8)

81824413●192

8185072●10√2

82323●4xln4+3x

82●(25;9) |{√õ+√ó=8, √õ–√ó=2|

Ñì (òî åãî äèàãîíàëü ðàâíà)

82●4 ñì; 16 ñì²

Êã

82000485●1742500

82000●1742500

820206810●100

8210●192ñì³ (îáúåì ïðèçìû)

8210125●–1

82112●arctg√2+2πn,n*Z {8tg²x=1+1/cos2x

821135721●0

8212●10 2/3 (áåñêîí ãåîì ïðîãð 8;2;1/2…)

Cm

82132221●0,25

82132241552521●(3/14; 1/14)

8213432●õ<4

821432●0,5; 3,5

8215●–1/(2x+1)4+C

Ñì (äëèí áîê ðåáðà)

821535●2

8216●2,5

8217●(–∞;+∞)

82182●2(2a–3b)(2a+3b)

821845●√185

822●[–4;4] |ó=√8–õ²/õ|

822●–4≤õ≤2

822●48 ñì² (ïëîù ïîâåðõ êóáà)

822●8

82211●{2;3} {(x+8)/(x+2)>2 lg(x–1)<1

82211●(2; 3)

82211●±2arctg(√2/2+2Ïn)

Ñì

822282822●2a+b/2a–b

8223245●8

Log68

822342●13824.

82245●2

8225514721..●6 2/3

8225514721757489●6 2/3

8225217●6*2/3

822620●(–4;–4);(–6;–2).

Sina

823●–1/4

8230205●6,25.

823162123108266●–4

82322●–12

82323●4xLn4+3x

823432422●4a2b2/2b+a

82371●1/7

823735111515●1/7.

823823●64x4–9

824●8

8242●–√2/2

8242132●–1/4≤õ≤1 1/2

82428●24

82431●(–1;1)U(3;5) |log8(x²–4x+3)<1|

82445●2

824525...●1,6õ²+5,5

825921510●205/9

824101327●(2;3)

825333132504313●1 12/13

82616253224128●4

82642●x²–1

827●√7–1 √8–2√7

82711●(–5;-3)

È 18ñì.

82729●(3;5)

8274787●1

829231202●6.

×ëåí ïðîãð)

83●384 ñì²

Ïîâ êóáà)

Ïëîù ïîâ êóáà)

83●{π/24+kπ/8} |tg8x=√3|

830●72ñì³ (îáúåì ïðèçìû ðàâåí)

8301020●25

830150●32(π+1)

8311●3.

8312●(25; 9)

8312236232●2x–1

83124●À(–16;11)

831253●(2x+5y)(4x²–10xy+25y²)

8317231001●–4

83172310●64

832●–2; 4/3 |8/õ=3õ+2|

832●2x 4-1/2e2x+C

832●64x²+48 xy+9y² |(8x+3y)²|

832011●14π

8321862●8

832323●5

83232302●5.

83233243●x–1

83234332●õ–1

83237258●–5.

Íàéì öåë)

832723101●64

Îáúåì ýòîé ïðèçìû ðàâåí)

833●–4.8

833●(2x-y)(4x2+2xy+y2). |8x³–y³|

8330●12ñì²

8332●2x√x/3√8–cos(3x+2)+C

83323●1

833230●1

8333●12π ñì²

83336416●13

8341●8 |8 ∫ 3 4dx/√x+1|

83414133●18

83420●–6; 1 |8/õ+3–4/õ+2=0|

83420●(–6;1)

83440●(–1)k π/18–π/12+π/3k,k*Z

8345●32√5π

X-12x3-1

836●6,4π ìì²

836237●8õ–18õ5+6õ²

Ì

838●(47)

838●2x4–1/8 cos 8x+C |f(x)=8x3+sin 8x|

Ì

8388●32ñì (áîëüøóþ ñòîð ïðÿì–êà)

8392●6

8393●3. {8x–3=9x-3

840●(-4; 8)

×

×

Òåíãå

Ñì

×

840805012●4

841●õ 3/8

ÍÎÊ)

84121●y/2

841375●0,7 |a8=4; à13=7,5|

8415●30 {8:4/15

84122122●–4à²+16à+4

84211●64

Ñì

8422●(–∞;–30].

8422●–√2/2 |–π/8 ∫ –π/4 2sin2 xdx|

84225●12; 7

8425●12ñì; 30ñì (Äëèíà è øèðíà ïðÿì–êà)

Sm

Ñì è 7ñì

843●π/2 |f(x)=8•sin(4x+π/3)|

843211●\\o3→õ

845●32

845●32cm² (ïëîù ïàðàë–ìà)

845●2ln|4x+5|+C

Ñì

Ñì

846144314481442●6

84640503●68

Cm è 16cm

Êã.

Äíÿ

Òã

849614●868

Ñì (ðàäèóñ êîíóñà)

Ñì (ðàä îñí êîíóñà)

85●4,8

M (ðàäèóñ)

85●49,152π ñì³ (îáúåì êîíóñà)

85●49,152π

85●175à90à=V

85●38,4π ñì² (ïëîù áîê ïîâåðõ êîíóñà)

8500●16

Êã.

85080●170

85115●8,5; 10; 11,5

85125193645623●6 1/3

851825360●46,8.

Ö

Ñì

Cm

Êã

85224112●1

Áîëüø èç ïîëó÷ óãëîâ)

85235●1

852356040●0

853●íåò êîðíåé √x–8–√5–x=3

853●1 8a=π sin5α+sinα/sin3α–sin(–α)

X10

Êèìàíûí àóä òàá)

853518●175, 90 êì/÷

853518●90; 175êì/÷

853525●0

853807005●19,3√5

8539●2√10

856●50 ñì² (Âû÷ ïëîù ñå÷åíèÿ)

856●50

Êã

85721●29

Ñì

86●50cm²

Ñì.

860●4ñì,4√3ñì,30º (êàòåòû è 2–îé îñòð óãîë)

860●16√3

860●176π

Ñì ( âû÷ ïåðèì ðîìáà )

860●8√6/3 | âûñîòà ïèðàìèäû |

Ïåðèìåòð)

8613127●34+7√2

8614561●7/9

Ñì (Íàéäèòå äëèíó ìåäèàíû)

862427●24

8647●–4√7; 4√7

86495●4

Ñì, è 5ñì

8655●–1

86610155●a1=2,d=3

87●28

87●π/7 |arcsin(sin 8π/7)|

870●(–8;7)

870●30

870●–8; 7

87103●–2

87103●3

871039●–2

87123●–2

8728726132●10 000.

87310●0

875●20

Ïîâûñ ïðîèçâîä òðóäà)

875●x8+10√x+C |8x7+5/√x|

8755617●3

8755617110●4

8756175●60

87577631022●10/3

877787●0

Cm

879●õ²+ó²+14õ–18ó+66=0

Ordm;

Æåí, 143ðåá

Æåíùèí, 143äåòåé

8807555●363

880858101●7,8;8,8

88085810313●7,8ã/ñì³,8,8ã/ñì³

880858●7.8; 8.8 cm²

8813●6 10/13

×ëåí ïðîãð)

Cm.

8832●(17π/24+2πn; 25π/24+2πn),n*Z

|cos π/8 cosx–sinx sin π/8<–√3/2 |

Ñì, 25 ñì, 40 ñì

885642●1/192

89●5;13

Cm;13ñm

89213112●21x+2y²

8934044625243●2.

9●6

9●7 |õ+ó/ó=9, õ–ó/ó?|

Ïëîù ïîë ïîâåðõ)

9●162 ñì²

Cm (äèàìåòð)

Íåò îòâ èëè ðåø

9●12

Àñқàð ê³òàï îқûғàíäà êүíäåÆ:9

9●1/6

9●20%

Êã (â êàæäîì)

9●162

9●81cm²

9●9π

9●9/cos²9x

9●(–∞,0) U (0,∞)

Êðàí áûñòðåå çàïîëíèò)

90●30 êì/÷ (âåëîñ)

Êã ñûð, 2,5ñóõ)

90●ïðÿìîóãîëüíûé (òî òàêîé ∆…)

Êâàäðàò. (ABCD 4õ óãîëüíèê)

Ïàðàëãðàì (ëåæ â îñíî ïàðäà)

90●ò³ê áyðûøòû

90●Ðîìá (ÀÑ æàíå ÂD òóçó àð–ãû áұð 90°. Êàíäàé ôèã)

90●192ñì²

90●40 1/2π (Îáúåì òåëà ó=√õ, õ=9, ó=0)

Ñêîêî ëåò äî÷åðè)

900●50êì/÷,45

90012●108 (900 ñàíûíûí 12%òàáûíûç)

90015●50êì/÷, 45êì/÷

9002121●45; 50êì/ñàã

900215●50;45

900924300●15

9005●50,45

9009913●0,2438

901●0

×

Êã

Êã.

×, 6÷.

×; 2÷

Ëèòðîâ

9012●2,5

Ñì

Êã.

9015●50; 45

9015●2/√3

901514●49ñì²

90153●45

Äëèíà AD

Íàéòè ÀÊ)

901533●√6

Cosa

Ñì

Ñì

Ëåò. (ìëàäøåé äî÷åðè)

902660●72π ñì³

902660●72π ñì²

9027010●180°

Cosa

903●30

903●30êì/÷. (ñêîð âåëîñ)

90306●6

9032322●5,1/9

90323226●5 5/9

9034●25

903602●136π ñì² (ïîëí ïîâåðõ øàðà)

Ñì

9060●120

9060●72 (ñêîð–òü ïóòåøåñòâåíí)

9060●150%

Ðàññò îò öåíò âïèñ îêð)

9068●2√2

9068●100

908●10

908●64 ñì²

Ã

9084●6.

Ñì (ðàññò îò òî÷êè À äî ðåáðà äâóãð óãëà)

909002521●2

9092430●15

91●–1/54 |f(9).åñëè f(x)=1/√x|

Ñì (ðàä øàðà)

Ñì

91017●36 ñì²

91017●36 (S ∆)

9103●205

910390●[0; 2]

Ë

Ñì (äèàãîíàëü)

Ñì.

91110●8

91136410●[–2; 0]

912●0

912●5

912●216

Òè 1 ÷ëåí ïðîãð)

912●378 ñì³ (Îáúåì ïèðàìèäû)

912●378cm²

912●V=378

912●67,5

912●5 1/3 |9 ∫ 1 (x–2√x)dx|

91210●300

9121219143●a1/4b1/4

9123●5

9126330●–2

913●3. {õó+õ=9,ó+1=3.

9134155220●(–∞;–2)U(0;∞)

914075●–10

9143250●2

Ñì

Äëèíà ïðîåêöèè)

915●722π/64 ñì²

915368212121209●220,8

91612231●2,25.

Ñì; 20ñì

916●25π ñì² (ïëîù êðóãà âïèñ â ïðÿì ∆)

Áîê ïîâåðõ öèëíäð)

916●(9/5; 16/5);(–9/5;–16/5).

91612231●2,25.

91641382438●13/2

91710●2,4

9175●7225/64 π ñì²

918●–162 (À(–9;18).Íàéäèòå êîýô îáð ïðîïîðö)

918●3, –6, 12, –24

9180●196

91927270●1

92●1

Äèàì áðåâíà)

920●[2•2/9;4)U(5;+∞)

920●3

920●0

920●(0;3) |sinx·√9–x²>0|

9205●(1;+∞)

921●1/3

921●132

921●(3x–1)•(3x+1)

Ñì

9211216075●2

9211219413●aâ1/4 bâ-1/4

921242●x³=y²

U (1;3)

92143●–7;–2;0

U(1;3)

921510128122512●205/9

921610●2 (9x²–16)·√x–1=0

921627●2

921673442●2

921892●25

922●(3m–n)(3m+n)

922103●0

9222●1 {ó=9/õ² ó=–õ–2 õ=–2

9222●(3+õ–ó)(3–õ+ó) |9–õ²+2õó–ó²|

92234●1/9; 3

Sup2;a

92241622.. ●0

9224162213134●0

922482272172●14

922512●3x-5y/3x+5y

922529230252●3x–5y/3x+5y

9227137●27

9230●(–∞; 1]

923025●(3x+5)(3x+5)

9231411●(4;0)

X-18

9232●9õ2+27õ-18

9233●[0;3) y=√9–x²+3√x/x–3

9233●(-∞;1] {9õ–2·3õ≤3

923321●2/5

923432●(–2;–1)

923432●2; 3 | 9√x–2+3=4•3√x–2 |

9242●(3àâ2–ñ+d)(3àâ2+ñ–d).

92512●4.

92541530●–4.5

92543250●–4,5

925432530–4,5

9262●–6

92621525●3x-y/5x

926271●–6

926271●●–8;2

926300●(-5;-3)U(3;+∞)

92680●–4;–2.

926826●17/26 (9/26+8/26)

9276381●4.

Ñïèðò êåðåê)

928510417518137652●1.

9292●7

9292226●(3õ+ó);(3àõ+àó+3õ-ó)

X-2

929292154●3õ-2 / 3õ-4

92949●1/8.

93●(1/2;+∞)

Ñì (îáðàç êîíóñà)

À

93●Äâà (åä ðàâíî3, a>b>c)

93●9

93●õ=9 (À(9;3)è ïåðïåíä îñè Îõ)

930●–1/2. |sin 930º|

931186●9õ+4/12(3õ–1)

9311862412●9õ/12(3õ–1)

931339327●2

932●(4;1),(–9;–9/4)

932●–27 (Íàéäèòå ñêàëÿð ïðîèç âåêòð DB→è BC→)

9320●√X+3/√X-3

9321632●3/4. (îòíîø ðàä)

93227●2

932272311634●28.

932425●24

932425210112●24.

Îòíîø ñòîðîí)

9327535●6

Ñì

933223131●–1/3

934●6*3/4

934●36/9x+3 f(x)=ln(9x+3)4

9352105232●49√3/2

9352194●25/16.

935342●9x8–15x4+12x–5

9360●õ>1 |9õ–3õ–6>0|

9360●õ<1

93615●1 1/3

9366414345●–31,86.

9369●25 √õ–9=36/√õ–9–√õ

9369●45 √x–9=36/√x–9

937●–5 (ñn=93–7n 1ûé îòð ÷ëåí ïðîãð)

937022●12

93873898197111081●–2m–5n.

9391213●3

93915313●3.

9393●81x²–9y²

Cm

94●216√3 sm² (ïëîù 6–óãîëüí)

Íàéäèòå ðàä îêð)

Ñì.

94014●250,357,333

Òûñ òã

940143015401635●250;357;333

9405●b1=6, q=1/3 (Íàéòè ïðîãð)

X)(3-2x)

943●√3/2

9432●(4+3x)3+C |f(x)=9(4+3x)²|

943450●2

945●√5–2 |√9–4√5|

945●2+√5 |√9+4√5|

945●√5+2 |√9+4√5|

945●81 ñì² (ðàâíà åãî 1 ñòîð è ðàâíà 9ñì)

945●40,5 ñì² (Í ïëîù ïàð ,áîëüø ñòîð 9ñì)

9451465●1

94552●1.

Òûñ òã

Ñì

Ñì.

949289329●0

949892893232●0

Ordm;

95●â 1,8 ðàçà (ïëùî 1∆ áîëüøå ïëîù äðóãîãî)

9512581●9

95216883412000010005●365 5/8

9527635●9

95342●9x²-15x4+12x-5

95360●{1, log23}

95361895361●0.

9536195361●0

954●36(9x+5)³

954●5

95671551231412309031●1/8.

9567156●1/8

957●x²+y²+10x–14y–7=0

957227●8

9572275175●6

9573093518214037302●23,865.

Ã.

9592275175●6

95922810●(-4;-√9;√4;-9)

96●25π ñì²

Ordm;.

Áàëûқøû áàðëûқ óàқûòòà á³ðäåé êүøïåíÆ:9;6

Àðáà-ң àëäûңғû äөңãåëåã³-ң øåңáåðÆ:960ì

960●9k²–6k+1=0 |9y–6y+y=0|

P

9614●2; 14êì/÷

9614●14êì/÷, 2êì/÷ (êðàòåð)

961424●14 êì/÷àñ;2 êì/÷àñ

962·64 ñì³ (Íàéäèòå îáúåì êóáà)

96213220●3

96221●0

Ëîùàäåé

962416●448

96244●16 ñì(Íàéäèòå áîëüø èç ñòîð ïðÿìîóã–êà)

9628331●4/3.

Ñì

963●1 |9x–6=3x|

Sin4a

Ñì (Íàéäèòå åãî ïðåèìåòð)

Ñì

9638●36,48ñì²

9638127●4.

Ì

Ëîøàäåé

9642●8

Íà 24

Òã

967528851807674●101,3

972●388sm²

9727●6

9729311●(2;1)

973140●4

97429●4

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