.


:




:

































 

 

 

 


( )




1045●60;70 /

104510●40π ³

104560●10√2 20√3/3

()

105●2 | xlogx10=5x. |

105●25² ( ∆)

105●5

105●5. |10lg5|

Ordm;

105●4;5

105●2 |log10=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(x0,5)=logx0,5(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 |sin105sin15=?|

1051515165225●2.

105195135●√2/2.

1052●2 1/2; 2 ()=+1/ [0,5; 2]

1052●9 x10,5<2

1052●9

1052●4%

1052●12

1052●[0,5; 1,5] (y=10,5sin2x)

105218●3 /.

1052562●n=10.

Ordm; ( )

1053●11 ( ∆)

105434●1/10

105434●1/10. |1 ∫ 0,5 (4x3)4dx|

Cm.

10570●y=2x1,4.

10575●0. |cos 105º + cos 75º|

10575●2sin 15º. |cos 105º cos 75º.|

7

105912●54

1060●180π

Cm.

106045●20/1+√3; 10√2/1+√3

D )

106515●27

10658●(5;8) U (13;+∞)

10662036●6

1068●96π ²

( )

.

107●1/8

107●lg√3

107●0,49 |1sinαcosαtgα, cosα=0,7|

1070●12a²

1071213107313●1/3

107128●(1;0)

1072210722●396

10731213107313●1/3

107502●907,5

.

Cm ( BD)

108●8

108●96π ³ ( )

108●96π ³

108●48 ²( )

)

1080●8

10801260●0,8

1080318●0,5

108080●1

1080801070●1

11

10823●m²n³

108335●4,4

1083●119,2

10835●(1;2)

10835●3

1084●12

.

108722718●2

Ordm;

11●0 |√+1=1|

11●0 (sinx/1cosxcosx+1/sinx)

11●[1;+∞) |1>1|

11●y=1/x1 |=1+1/|

11●y=1+1/x |y=1/x1|

11●x>1 f(x)=lg(x+1)+lg(x1)

11●(∞;1)u(1;∞)

Sina

11●1/x²1 |f(x)=ln√1x/1+x|

11●1x√x (1√x)(1+√x+x)

11●1/2x²lnx+C y(x)=(√x+1/√x)(√x1/√x)

11●2 (logm 1/m+log 1/m)

11●4; 5

11●(1/2;1) |/1>1|

11●3π/2. |arccos(1)arcsin(1).|

11●2/cosx |cosx/1sinx+cosx/1+sinx|

11●2 |(1+sinxcosx)(sinx1cosx)/sinxcosx|

11●(∞;1)U(1/2; +∞)

Sina

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

11●π/4+πn<x<π/2+πn,n*Z |sinx>1 tgx>1|

11●π+2πn,n*Z |y=sinx1/cosx+1|

11●(0;1)

11●(∞;0)U(2;+∞)

11●(∞;0]

11●(-∞;-1)U(-1:∞)

11●(∞;1)U[1;+∞) |=√1/+1|

11●[1;+∞) |√1>1|

11●[0;1] {||+|-1|≤1

11●[0;1] {||+|1|=1

11●0 |√+1=1|

11●1/1-²

11●1/cos α

11●1/sin |1/tg+sin/1+cos|

11●1/sinα |1/tgα+sinα/1+cosα|

11●1/²1 {f(x)=ln√1-x/1+x

11●2/(1)² (f(x)=ex+1/ex1)

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/1cosα|

Cos2y

11●sin²x { (1cosx)(1+cosx)

11●cos²x { (1sinx)(1+sinx).

11●sin²α { (osα1)(1+cosα)

11●tg θ/2 |1+sinθcosθ/1+sinθ+cosθ|

11●cos² α

11●2tg α |cosα/1sinαcosα/1+sinα|

11●ln(x+1)+1

11●sin2y |(cosy -1)(1+cosy)|

11●sin2 |(1-cosx) (1+cosx)|

11●sinα |(1-cosα)(1+cosα)/sinα|

11●cosα |(1sinα)(1+sinα)/cosα|

11●√5/5 {y=√x (1;1)

11●ab |a/bb/a/1/a+1/b|

11●/

11●sin²λ

11●cos²λ

11●ctg x/2 (1+sinx+cosx/1+sinxcosx)

11●f(x)=ln|x+1|+C |f(x)=1/x+1|

11●6

110●1

110●(∞;-1)U [0;1)

110●1 |=1/, =1, =, =0|

110●35º, 35º ( )

110●145º 35º ( )

110●(∞;1)U[0;1)

110021310●11

110024●100, 200, 800

.

110024●100, 200, 800

110122●3π/4.

11013●19 (bn), b1=10, bn+1=bn+3)

1102●1/x5

110205●6,3

11021231●60

Ordm;.

110233●30

110310●4

110411●50

1105●2

)

11099154●11

111●0 |√a√a+1+1/√a+√a+1|

111●0 (1/logxya1/logxa1/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/ab|

111●25 |{√+√=11 √√=1|

111●xy/yx.

111●(∞;2)U[1;∞) |1/+1≤1|

A

111●ab | (a1+b1/a+b)1|

N,

1110●π/2+2πn,n*Z |(1+cos x)(1/sinx1)=0|

1110●=1/2+1/2

1110●+2-1=0

111010110010011000●a>b>c

111015●2:3

1111●0 (1tgx/1+tgxctgx1/ctgx+1)

1111●a1 b1 | (1 b 1 1 b 1 a 1) |

1111●6 (n), a1=1, an+1=an+1)

1111●a-b/a+b |1/b1/a/1/b+1/a.|

1111●(a-b)(a+b)

1111●2sinα |(1+cos1α+tgα)(1cos1α+tgα)|

1111●2/sin²α |1/1+cosα+1/1cosα|

1111●4√ /1

1111●1 |1/1+tgx+1/1+ctgx=?|

1111●1

1111●y²x²/x²y²

A

1111106145●64

1111108●9/13

111111●1

111111●arctg√2

1111111●1. DA+A1B1+CC1

1111111●AC1→ (AD+D1C1+BB1)

11111111●AB→

11111111●31/

111111112●1 5/8.

11111111810●54√3cm² ( )

11111111810●5√3

111111151111130502●300

Ordm;

111111456111●2,5.

111111506●10

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/ (+5)

11112123134145●5/x(x+5)

)

11112311111●3√2

11113●√5;√5 |+1/1+1/+1|

11113●(∞;1)U(1;∞)

11114●[5;+∞) |√x+√x+11+√x√x+11=4|

M

11114511130●²(4+√2)

111146601145●40√3

111160145●³(4+√3)

1111614127●18/17

.

.

1112●1

1112●π/4+πn,πn, n*z

1112●0; 0; 0; 0; 0 |n=(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. (1/11/2, =2)

111211141118111●7/16

11121312●15

11122●8 |1/11/2 =2|

111221●1x/2x1

11122132●910

111222121212●→b→

11122532124935213●33,36

111230111230●4√30

111231●2

1112340441● ө

11124133614481505625●2,32

1112421●1-/2-1

111258●4

1113●1/36.

1113●1;2;1 |x1=1, xn+1=3xn|

111315●13

11132●1;1;1 (x1=1, xn+1=32xn)

1114●12 |√1+√11=4|

11143●1/2

1114313●3/2

11153●3363

11158●2a²1

Ordm;; 2,5.

1116123●0

1111614127●18/17

1118115140519●1/3.

111817●a17=139,s17=1275

1119●Da (1>1/19)

112●1

112●(0; 1/2) |{√+1≥1 2|

112●8

112●(-∞;1)

112●(68º;68º;44º)

)

112●(∞;1) |f(x)=1(1/2)x|

112●(∞;1)U(1;1)U(1;+∞) |=1/1√²|

112●1<<2. |y=1/√x1+lg(2x).|

112●15/8.

112●n=2n-1 {y1=1 d=2

112●1/2;2/4;3/8 |∑n=1 (1)n n/2|

112●tg²α |11/cos²α|

112●2/x²1

112●Q ( Q(1) X(1/2)

1120●0,5 f(x)=√1x/1+x²,f(0)

1120●1/2 |=1/√1,=2,=0|

1120●1,2

112014●4/5

112024525●180³;202²

1121●1 (a/a+11a/a²1)

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):²+1/²2+1+|

112123134..●9/10.

1121231341451561671781891910●9/10.

1121310●(x²1)5+C

1121311314●14/11

11211311411563●25

11214●2/3

112175158●1,5.

1122●2/3 |1 ∫ 1 dx/(x+2)²|

1122●8 ² ( )

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(x2)(x²1)dx|

11221134●0,001

Ab

11221221●3

11221314●0,001.

11221314●{10,104}

11222●tg²α. |1+(1/tg²((π/2+a)sin²α|

11222●3 |(;), {√+1=1, +2=22, /|

112220131420●0,4.

112220131420●{0,002; 200}

C

1122213...●0,4

11222321093252233210911122●2

)

112231●(1; 2; 3)

1122321122●4

11223312641122●0.

X1;y1),(x;y2)

{³√x+³√y=1 ³√xy=2, 1212

1122331321212●0

11223422201212●40

11223478●3.

112234829●5,75

1122348291122●5,75

112242220●13.

11228●20√2

2,2. ( , )

1123●4

1123●√2(1+√2√3)/4 |1/1+√2+√3|

1123●2+√2√6/4 |1/1+√2+√3|

.

1123●(8;6) (1|+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

112330●20

11233478●3

11233723●q=5, b3=300; / q=6, b3= 432

.

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●4-3+7=0

112610●20 2/3

1127178251011112322935126212●94,96

11283●7 |√11=28/3|

1275315835●10,4

113●(0:1)

113●(0;3] |1/x≥1/3.|

113●(∞;3) |x≤11/x3|

113●0 ( y)

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●S=1/2(11/2n+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)2≤27|

X

11323234●5

113235●0 |1 ∫ 1/3 (23x)5dx|

113254●4 |1 ∫ 1(3x²+5x4)dx|

11327150●69.

113312●48

11331323362●19

113323●2

113343807●1,35.

113412●13

11342●2√x+13

11345214●2,9

1135●4624

1135135●4624

11356●63,28/

X

11356●x<1,5

1136251415171●55/17.

11364●2 (:1 1/3=6:4)

( )

1137110215●2 2/3

1138●36.

11380●(11;3)U(8;∞) |(+11)(+3)(8)>0|

114●2 |=1/√, , =1, =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.

( )

115●6/25

115●40; 50

115●10. | 1 ∫ 1(5x)dx |

11502●2,24.

115114●6/25

11511611711120●80

115121●2/5.

115264●42/3

115264●4 2/3 |1 ∫ 1(5x²+6x4)dx.|

11532●1

11543●101º 36º

1154890●40/,50/.

11561212536●(2; 3)

115705155556902●15

; 60

116●28 ( ∆ )

1160●15

11602●15² ( )

11602●15²

1161412711●18/17.

11616551●7;0,1 |11=6; 16=5,5 1 d|

1161685●0,5 |11=6; 16=8,5|

)

116212●18,5

)

1164●2x+24x³

116515●297.

11652●0 |1∫ 1 (6x5+2x) dx|

116712●28.

11673●1792

11681114●6

116837●d=3

117●136

.

117177●7

)

117234922147●4,5.

11723492214706334212●4,1.

1173337●3/7

117559171101321704015025358137505234372028●4

1176●63 |1=17; d=6|

1177●≤7 |11≤77|

11776●1/6.

1178●10 (n=11 n78 )

118124●27

118125●99/8

11817●11=139; S17=1275

118192●2 (b1=18; g=1/9. b2)

1182635341●2,3km/chas

1183152●(1;3)

11838●3/2x |1(1/8)+(3/8)|

118813●6

11913111●1

11921122●88; 18

119711423●10

119781423●10

1201●y=2x+3

12●0 |f(x)=√x1/x, f(2)?|

12●1 |f(x)=lnx1/x |

12●1/2 e2x+C |f(x)=e2x|

12●(1;3) (|1|<2)

12●(1x)(1+x)

12●2;1

12●2; 1/2 | =(1/2)sinx |

12●1 (f(x)=lnx1/2 2)

12●8 (N 1/log2N)

12●108π ².

( )

( )

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 |1ctg2αtgα/tgα+ctgα|

12●144 ( ·D)

)

12●192 π/2 ³ ( )

12●9

Cm ( AM)

12●36²

12●√21 |1√2|

{ 12=36²

12●4/

12●6; 54

Sin2x

12●1/sin2x |f(x)=1/2ln ctgx|

12●2√2x+C

Ordm;

12●√3+1/ 1√3

12●√31/1+√3 |tg π/12|

12●√2/2 |1/√2|

12●1/18√2 | =√/+1 (2) |

12●25

)

12●2sin²a |1cos2α|

12●sin²α. {1+cos(πα)sin(π/2+α).

12●sin α {12sinα cosα/sinαcosα+cosα

12●1/(2cos² x)

12●x≠0;1 {y=1/x²+x

12●6/

12●7√2/4 |f(x)=(x+1)√x =2|

12●2π3.

12●(1)ⁿ+¹ π/6+πn; n*Z

12●(1)kπ/6+kπ,k*Z |sinx=1/2|

12●(∞;2)(-1;+∞)

12●(∞;2)U(2;+∞) |y=x+1/x2|

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+cosπ/2x

12●3. |tgβ, tgα=1, tg(αβ)=2|

12●4 |f(x)=elnx(1+ln²x) f(e)|

. ()

( )

Ordm;

Ordm;

12●sin²a

12●sinα |12sinαcosα/sinαcosα+cosα|

12●sinx|cosx| {sinx/√1+tg²x

12●√7 | .|

12●1200

12●x≠0; 1 |y=1/x²+x|

X

12●π/2+2kπ; π+2π | 1+cosx=ctg(x/2) |

12●π/2+2πn; π+2πn; nEZ

12●x2+3(b-a)x+2a2-5ab+2b2=0

12● |√+1=√+2|

12●π/6 |arcsin(1/2)|

12●2√2-+

12●π/2+2πn; 6π+2π

12●π/3+2πk≤x≤+π/3+2πn, n*Z {y=√cosx1/2

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; nz |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=|

12●(∞;+∞) 1+x<x+2

12●(∞;2]U(1;+∞)

12●[1;5) |√x1<2.|

12●0 {(cosa=1)

12●0 {f(x)=√x1/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 ³

12●2 1/2

V )

12●288 π ³ ( )

12●3 |tga=1 tg(α+β)=2|

12●315

12●36√3 c²

12●4 |=1+cos/2x|

12●4 |f(x)=elnx(1+ln²x). f(e)|

12●7π/6+2kπ<x<π/6+2kπ,k*Z |sin x<1/2|

12●π/4+kπ |sinxcosx=1/2|

12●π/4+πn,n*Z |sinxcosx=1/2|

12●4√3

.

Cosx

( )

12●20; 30

Cosx

12●cos2xdx ∫(x+1)cos2xdx ∫udv=uv∫vdu

12●2√3.

12●d1+d2

12●{ln√3} |exex/ex+ex=1/2|

Sin2

12●sinα+cosα

12●√31/1+√3 | tg π/12|

k

12●4√3π/π ² ( )

12●6√3π ² ( )

12●√7

12●7√24

12●x≠1;≠0. |y=1+x/x²+x+x|

12●x≠2 |=+1/2+|

12●≠2 |=1/+2|

12●x*(3;7) f(x)=1 F(x)=|x2|

12●=1/2

12●A² | cosa, 1sin²x |

12●π/4+πn≤x≤arctg2+πn,n*Z (1≤tgx≤2)

12●<0,5>1,5 |x|+|x1|>2

12●<1; >2

12●36(√2+1)π

12●>2

(3; 7)

12●20; 30

Ү ғ ұғ:1,2ғ

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 ( =1², =0)

120●1 1/15π ( =1², =0)

120●4/3 |y=1x² y=0.|

120●√3h/3 ( )

120●(-D;-1)U(-1;1)U(1;∞)

120●³/6

120●π/2+πn<x<3π/2+2πn,n*Z

120●18√3²

120●1/2

120●x²√3/3





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