.


:




:

































 

 

 

 


( )




21015●60 /, 75 /.

210150180●30

2102●4π

2102●0;2 |()=(2)√+1 [0; 2] |

21020●20 2/3π

21021025●2/x5

21021710●4√10 . ( )

210232●(0; 1; 1,3)

2102323210●610

210235234●[2; 3]

21024●16

210242046●n=10, q=2.

( )

2102501●(3; 2)

2102552●1

2102710●(∞;+∞)

21028●(4;2)

21028160●(2;0),(8;0)

K.

210300●30

2103103●1

21032● қ

210356●6

21042●y=2

210420210●1a²

2104523●12

2104922●3

2105●F(x)=(2x1)√2x1/3+C

210513●[3/8; 2/3]

21053105410531051052310543●1

210570495●√3/4

U(1;3)

21073●4 |S(t)=t²+10t7,t=3|

21079●(2; 5)

)

2109341234171167515●6.

211●y=√x+1

211●0.

211●(3;+∞)

211●1/(x+1)2

211●5,5

211● |=²+1/+1|

211●3x²2x+1

211●π/3(ln+9) π/1(3k+9)

211●bx1

211●2x+1 (f(x)=log2(x1), f1(x))

2110●3/2+ln2 |2 ∫ 1 (1/+) dx, x≠0|

2110●3<m<1 x2(m+1)x+1=0

21100●28/15π ( =²+1, =1, =0, =0)

211002●150² ( )

21102●204(x²1)101 |f(x)=(x²1)102|

21102132312●30

211091●c→=a→+7b→

2111●(an+1+1)(an-1)

2111●1/3

2111●(1; 1)

2111●<1:>1:

2111●xln1x/1+x+1 | y=(x²1)ln√1x/1+x |

2111●0,5.

21111●sin2α

2111012●4

)

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

2111111●3x³

211112●4121

211120●320

2111210●(1;2)

21112182225●2

21112194●2

.

2111413216●3.

2111510119●(2;1)

2111524890●40/;50/

2111825●=0; =12.

2112●1/2 |(sinαcosα)1, α=π/12|

2112●1/√2√1x/(1x)²1/2cos 1x/2

21121●3x²+2x+22/x²2/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+22/x²2/x³

2112●1/2 (sinα-cosα)²-1, α=π/12

2112●1 {sin²α1/1cos²α, α=π/4

2112●1/√2√1/(1)²1/2cos1x/2

2112●y=x+1; y=1/3x+12/3

21120●(∞;1]

21121●3x²+2x+22/x²2/x³

211211●2x/x+1

211212●[0; 1/2]

21122●4 1/3 |2 ∫ 1(12xx²)dx|

2112221●a)4;3 )(∞; 3,5] )[3,5; +∞)

21123●3√6/2: 9

211231●2,5

21123121●2,5

2112313112●1/7

2112320●1

21124●1 |sin²α1/1cos²α, α=π/4|

21124●3√5/2; 1

21125●10

2112845●=0; =2

2113●3;1

2113●(1; 4) {2+1/1<3

21130●5:6

U(1;3)

21132●√26

211324●5,12%

2113524●5,12%

21137112●1

Cm.

( )

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)

Ordm;.

2115●(-1) π/12+π/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●(3)(+4)

212●

212●2/ln2+e2e | 2 ∫ 1(ex+2x)dx|

212●(2π/3+2πk;4π/3+2π),k*Z |cosx>1/2|

212●π

212●30,20

212●(x3)(x+4).

E

212●2x+21 log2(x+1)2

212●2/cos²x+1/√2sin²x | y(x)=2tgx1/√2 |

212●2cos²α |cos²α+(1sin²α)|

212●tg²α |sin²α/1sin²|

212●ctg² α |cos²α/1cos²α|

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+2π) |cos(π/2x)>1/2|

212●1

212●√2;√2

212●[4; ∞)

212●2 | sinα+cosα)²+12sinα. |

212●π+2πn, (-1)nπ/6+πn,nεz

212●4;3

212●(1/2; 8)

212●(12; +∞)

212●(∞; +∞) |=cos 2x/1+x²|

212●5 √2x1=x2

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

212●5/6

212●5/6 |2 ∫ 1 (x²x)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,Ia,IV =sin(2x+1)2, y=sinx

2120●π+2πn,n*Z {cos²x+1+2cosx=0

2120●61/5 π {y=x²,x=1,x=2,y=0

2120●(1;1).

2120●[2;∞) (√2(+1)/2≥0)

212003912023100772526●0

212005●=24+16

21202●35

212022●(-4;3)

212044135●6

21205●=24+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+cos2αcosα/1+cosα|

2121●4/(2x1)² |f(x)=2x+1/2x1|

2121●u=√2x1 | ∫e√2x1/√2x1 dx|

21210●(1)n π/6+πn; n*z

21210●1/2<m<1 m>5

21210●{1;1/2}

212113122●{1/2,1}

21212●0 |sin²x/1+cosxcos²x/1+sinx+cos2x/sinx+cosx|

21212●√c+√d/√c√d

21212●π+πd/πcπd

21212●(-1)+1π/12+π/2,εz

21212●8/25.

212121●1/22x1+x³/3+11/24.

21221227132●12+√21

212121122●1/a+b

2121212●(x²x1)(yz10)

2121212121211●2m²/m²+1

21212121211●2m²/m²+1

212122454414●4

2121212414341●3/4

212122454434●8

212125●{1} |²+1/+/²+1=2,5|

212129●1/2; 2

21212931472●1/2

212129872●1/2.

21213●7

212132●1.

212132●1;1

2121327●1<<2

2121327●1 | 21+log2(x+1)>xlog327 |

21214129872●1/2

212141813●21/220

21215●(-∞;0)U(1;+∞)

2121533425●3,5

212181●0<≤√2;>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 2x1+x³/3+11/24

21221●2(x+1)/(1x)³

21221111●1a/√a

212212●12+√84

212212●1;0

Tg1.

21221227132●12+√84.

21221227152●14+√140.

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 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●=5; q=6

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●=0;=9

212275●=5

212282273362●(3q²4x²)(7p9q)

2123●π/6+π/2k k*Z

2123●π/9+πn/3,n*Z {tgx+tg2x/1tgxtg2x=√3

212310●{2,1,0}

2123114●6.

212317●/////

2123172●(3;1)

21232●25 |f(x)=(x²1)(23x) =2|

2123212123●2a³

2123216●1√5/2. |2 ∫ 1(y²+y3)dy=x²+x1/6|

2123267522100●3

2123296●1

21234●13,5 | 2 ∫ 1 (2x³+4x)dx |

212343●a=2 2/3 =2

21235●[1;4]

21235620●5; 7

21239600●(0; 1/7)

212421210●[1;11]

2124240●6

21243611141●1.

212510●2 {2√1√+2=√510

2128●60; 15

)

212●4;3

2122128●27

212220●3a /3

212240●4 |√x²12√2x4=0|

212313514●x<y<z

21232●25

21234●13,5 |2 ∫ 1 (2³+4)dx|

21235620●5;7

21239600●(0; 1/7)

2124●12500

2124212110●[1;11]

2124240●6.

21243611141●1

212436111413●1

.

2125●10.

2125●2 |2=1+√²+5|

21251●(0; 1/5)(1; 5√5)

212510●2

2125121012●1024

2125431●2

2126●1

21261916●4

21264●2/ln26ln2+4 |2 ∫ 1 (2x6/x+4) dx|

212640●16; 4

21269●21 |2 ∫ 1(x²6x+9)dx|

212731●9 1/27

212750●(3;7]

)

Log23-1

21292●b6a/2ab

2129216●4

213●1 |2x+1=3cosπ|

213●30

213●3√3cm ²

213●4 {y=2x+1/3, )

213●2;2 |√x²1=√3|

213●[1;4] |√2=1+√3|

213●[2; 6] (=2, *[1; 3] )

213●2√2/3 |sin2x, cosx=1/√3 |

213●1

213●x≥1 (=2+1,=3)

213●9

213●3;1

213●3/5 {sin²α/1cosα, α=π/3

213●y=x3+2ln2 |f(x)=2ln(x1),x=3|

213●1/2 |sin²α/1+cosα, α=π/3|

213●5/6+2n, 7/6+2m;n,m*Z | 2cos(π(x1))=√3 |

213●8³12²+61

2130●26/3

2130●(-2;1)U(3;∞)

21305●5/6

2131●(1;3) U(3;∞)

2131●<2, >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)

.

21317137●3/10.

2131883518535●7

2132●5 (f(x)=2x1/3x, x=2)

2132●x . -1/3; .1/2

2132●2 c³

)

2132●a1

2132●2/3 ln2 |2∫ 1 dx/3x2|

2132●14/9. |2 ∫ 1 √3x2 dx|

2132●5,5 | 2 ∫ 1 (x3x²) dx |

21320●7

2132●≠1/3; ≠0

213210●π/3+2π *Z

Xy

2132157●(∞;2/3)

21322●√2 ³ ( )

21322●√130

21322232213122●0

213222●0

213226●10 | 2 ∫ 1(3x²2x+6)dx |

2132561165314●4 11/14

213226●19

2132274●8

21327416●y=4/25

2133●6/ln33ln2 |2 ∫ 1 (3x3/x)dx|

2133●(∞;1] |2(x+1)|≥3x+3

2133●38 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/ln34ln2 |2 ∫ 1 (3x4/x)dx|

21344422●2

213445●6

( )

213512●5/3

213541●(3; 5; 2)

21357●y=5x+3

2136●9

2136212422●a/2

21362422●a/2.

)

21386●(3x8)7+C |f(x)=21(3x8)6|

243934116659831655●30 5/18

)

214●7/24 | 2 ∫ 1 dx/x4|

214●²++2 {(+2)(1)+4.

214●9/2

214●x=π/6+πn,n*Z

2141●1/²++1

21413●a>0,7

21414●5

214160●102

Sin2a

2142●6/ln22ln2 |2 ∫ 1 (4x2/x)dx|

2142● {²++1=4(2+)

21421●1/²++1

214212110●[1;11]

214235●√45/2

214240●12;2.

)

Log43

2143●3 |2 ∫ 1 (4x3)dx|

3 ( , )

214318●61

21433211●12

21435●6/ln23ln2+5 | 2 ∫ 1 (4x3/x+5) dx|

2143523●{2}

21435431921127●0,4

214359●45/6

21436●24

Km

2145●(1;1)

2145●21 ( 21/45)

214515●(4;5)

2147005●8/3.

2149●1/3;2/3; / 1;2/3;1/3

2149●3 ( ∆)

215●(2;3) {|21|<5

215●29,6

215●{2} | lg(x²x)=1lg5 |

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;∞) {|2+1|>5

215●x>2 x<3 |2x+1|>5

215●1=2, 2=1. |lg(x²x)=1lg5|

215●10 2/3

38

,38

2151●6

21510●(1;8)

2151115●D P(2/15) D(11/15)

215113●{1,5}

215152●m²3m

2152●2/ln2+5ln2 |2 ∫ 1 (5/x2x)dx|

21520●20 /.

21521●(0;1).

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

2152232●x=6 |2x1/52x2/3>2|

215267●8/21.

215275●√3/2 |cos²15ºcos²75º|

215320●(2;2).

21534545●5,25

2154●3. |+2/+1=5/4|

215400251250●4

215421●2,5;2.

215421●1; 0; 5 | 2+1/5=4/2+1 |

21543455●5,25.

A

2155●1

21552●1155cm³

215545●9

2156●2145 ³ ( )

2156●[1;11]

215623●4,5/

215835742●3

2159162083412000010005●3655/8

216●21 ( 6 )

3. ( )

216●(25;9) |{√√=2, =16|

)

2160●80º,100º

21602●90 ² ( )

2160425●4

216045●441√6/2² ( )

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●x4/3

2163149●(18;12)

216325●[-4;-1]U{4}

21640● |²16/√4=0|

216450375275112●2

21663218●(∞;4]U[4;+∞)

C

217●14(2+1)6

217●1 | 21=7 |

217●{6;10}

2170●(7; 21)

21712327936●25.

2173172172●21700

217365●9.

2174311●(4;2]

A

2175715489●1

21772●7a7/a

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

15 ( )

2190●x≠9

2190225●19/40.

2191719●15/19 (x+2/19=17/19)

2192127●3

2193721201144●1

2194290●(4;2)

219433523.. ●12/15

219433525110●9*2/15

22●0

22●0 (√√2/2 )

22●0,25;4

22●0,5 |√x/2=x²/√x|

22●a={0;2} {²+²=, -=

22●(0;2) |{²+²= =|

22●(0;4) {x+y/2=2

22●(0;5) {√2=

22●(0;5) (√2-x=x)

22●(1;∞) |=log2(x²x)+lgx|

22●(1; 1)

22●1 |cos2α+sin²α|

22●1 (sin²α+cos²α)

)

22●1 {cos2 α, α=π/2

22●1 {a=π/2, cos2a

22●1 |sin 2α(sinα+cosα)²|

22●1 {sinαcosβ+cosαsinβ)²+cosαcosβsinαsinβ)²

22●1 |(sinαcosβ+cosαsinβ)²+(sinαcosβcosαsinβ)²|

22●1 {cosπ/2-sin3π/2

22●1 (sinαcosα)²+2sinαcosα

22●1(α≠π/2+πn) |cos2α+tgαsin2α|

22●1+sin2xsin2y |cos²(xy)+sin²(x+y)=?|

22●1 |y=x²+2lnx|

22●[1;∞) f(x)=log2(log2x)

22●1;2

22●π/2 |y=sin2xcos2x|

22●[-1;2]

22●(∞;2] |x2|=2x

22●1/3 |=², =²|

22●1/3 |=², =²|

22●1 1/3. | y=2xx|

22●1 1/3 | =², =2|

22●1/5 | cos²xcosxsinx, tgx=2 |

22●2π |y=sin2x+tg x/2|

)

)

22●√2cosx |sin(π/2+x)+sin(π/2x)=?|

22●2 {tg(α)ctg(α)+cos²(α)+sin²α

22●2 {²∫ 2dx/x

22●2 (sinα+cosα)²+(sinαcosα)²

22●2;1 2=|²+|

22●(2;2] |2<x≤2|

22●[2;2] {y=2sinx+cos²x

22●[√2;0] {y=√2x²

22●[√2;√2] {y=(sinx+cosx)2

22●2;1 2=|2+|

22●2x²/xa. |a+xa²+x²/ax|

22●2 |√²2=√|

22●2(e x/21/4cos2x)+C |y(x)=e x/2+sin2x|

22●2ex1/xln2 |y(x)=2exlog2x|

22●2x(2xln21)/4x√x

22●[2; 1]{0} |f(x)=√log(2x/x²)|

22●(xa)(x+ay).

22●x+a/x.

( )

22●2+2+24

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|

22●=π/2+πn, n*Z | y=2x+sin2x |

22●ab/2c (ab/c)

22●45

22●x4y4 {(xy)(x+y)(x²+y²)

22●4 {(a/b+b/a)²(a/bb/a)²

Sin3x

22●2cos 4x |f(x)=sin2xcos2x|

22●3/a+b

22●a+b (a²b²)/(ab)

22●ab {a²b²/a+b

22●(∞;4]U[0;+∞) {|x+2|≥2.

22●(∞; 0) U (1; ∞) |² ∫ 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(cosxsinx)|

22●2πn; π/6+2πn/3

22●1/3 (y=xx²,y=x²x)

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 {=2,=2

22●a+b

22●44 ()(+)(²+²)

22●a4+b4+6a²b²+4a³b+4ab³ |((a+b)²)²|

22●a+x/x |a²/axx²+x/xa|

22●a/xy-a²

22●ax |a²xax²/ax|

22●2/b |2ab/a(a/2ab+a/b)|

22●2(ex/21/4cos2x)+C {y(x)=ex/2+sin2x

22●1sin 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;∞) |=²2|

22●2;2 )(∞;0),(0;∞) ) |=/22 |

22●64/15π ( =2, =²)

22●3/5 |cos2α, ctgα=2|

)

22●2ex1/xln2 | y(x)=2exlog2x |

22●7/3

22●4πn(π/8+α/2)sin(α/2-π/8)

Y= 2+√sinx/2●●●4πnx2π+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●x²x²lnx2lnx2/(x2)² | f(x)=xlnx/x²2 |

22●(1)n+1 π/4+πn; n*Z |sinx=√2/2|

22●(1;∞) {y=log2(x2-x)+lgx

22●(ab)(x²+x1)

22●(ac)(x²x1)

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 |√2x²=x|

22●1 |√2x²=x|

22●3π/4 |arccos(√2/2)|

)

)

22●4x³ | xxx22 |

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/42πn),n*Z |x+y=π/2 sinx+siny=√2|

22●x=5π/4+2πn; =3π/42πn; N*Z

22●7/3 |y=2|x|, y=x²|

22●4/3 |y=x², y=2x|

22●a+b/c²d² |adbc/2cd(c+d)+ad+bc/2cd(cd)|

22●(2a+b)(xy) {2ax+bx2ayby.

22●ab {ab²a²b/a+b.

22●m²2 {tg²α+ctg²α=m,tg²α+ctg²α

Sin2a

22●45

22●x²(1lnx)2(1+lnx)/(x²2)² (f(x)=xlnx/x²x)

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 |sin2xcosx=sinxcos2x|

22●x=5π/4+2πn; y=3π/42πn,n*Z

22●x=5π/4+2πn

22●xmax=2, xmin=2 (=2/+/2)

22●xmin=π/2+πn,n*Z (=2x+sin2x)

22●π/4+π

22●y=-x?x?+x2

22●x²+4xy+4y² | (+2)² |

22●x²+y²/x²y² | /++(+)/²² |

22●a=(0; 2)

22●(ab)(ca)(cb) (ab)²(ca)(ca)²(ab)

22●4a(bc) (a+bc)²(ab+c)²

22●4a²b² |(b+2a)(2ab)|

22●π/8+πn/2; n*z (sin2x =cos2x)

22●a)-2,2; b) jok c) (-∞;0)(0∞)

22●=1/2 . y

22●a)x=2 x=2

22●a)x=2; x=2 )xmax=x1; xmin=x2

22●=1; =3. |x²y=2|

22●²+4+4²(+2)²

22●²+2+²4 (x+y+2)(x+y2)

22●4a(bc) (a+bc)²(ab+c)²

22● (sinx+sin2x=2)

22● (sinx+cos2x=2)

220●1; 3/2 |=2sinx+cos2x, [0; π|

220●12 (x+y, xlgy=2 x y=20)

220●π/4+2πn≤x≤5π/4+2πn, n*Z |2sinx+√2≥0|

220●π/2+πk, k*Z (sin2x+2)cosx=0

220●π/2+πn, π/6+πk,k*Z |2cosxcos2xcosx=0|

220●(1)π/6+π,*Z;πn, n*Z |2sin²xsinx=0|

220●π/2+πn,n*Z (1)k+1 π/4+πk,k*Z |sin2x+√2cosx=0|

220●π/2+πk, k*Z

220●(1)+1π/4+πn

k

220●π/2+π,*Z,2/3π(3m1),m*Z

220●1 f(x)=(x²x)cos²x f(0)|

220●1≤≤2 [1;2] |x²x2≤0|

220●(2;0) |²+2<0.|

220●(∞;2]U[1;+∞) |x²+x2≥0|

220●(∞;0)U(1;∞) |² ∫ 2dt>0|

220●4,5 |=²++2 =0.|

220●π+2π,n*Z |2cos(x/2)=0|

220●π+2πk |2cos(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+2π],k*Z {2sinx+√2≥0

220●3 {f(x)=2cosxcos2x

-14

220●π/2+πn; π/3+2πk;n,k*Z |2cos²xcosx=0|

220●π/4+2πn≤x≤5π/4+2πn,n*Z

K

220●πn, n*Z

220●πk,k*Z {sin²x2sinx=0

220●2

220●[4;5]

220●45,36

220●≤2, ≥2

220●300; 800/

,15600

2200●=arctan2 y=sin2x+cos2x, (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

22005●=14+11.

22011●3 1/3. |y=x²+2, y=0, x=1,x=1|

2202●1 1/3 |y=2xx², 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=4x9 |y=x²2x 0=3|

,15600

,15600

220●[4; 5] {+²≤20

22011●3 1/3

2203●=49

22037●385

2204●0,7 |cos² α/2, cosα=0,4|

22040●m/√m²+1 |sin220, tg40=m?|

2204020●1/2 |2cos20cos40cos20|

2205● {√2+√20=√5

220516●0.25;8

NOD)

221●1 |x/y=y/z x²+xz+2xy=1|

221●1;1 |2cos²α1|

221●(1/√2; 1/√2) |=2²+1|

221●(∞;1/√2)U(1/√2;+∞) |y=2x²1|

221●a=√2 {x²+y²=1 xy=a

221●2π

221●2tg2√x+C | =2/cos²x1/√x |

221●2/(2x+1)ln2

221●2²2/(21)² {f(x)=x²/2x1. f(x)

221●(-1)ⁿ+π/6+π,n*Z; π/4+πk,k*Z

221●sin2a {tg2a(sin2a-1)

221●2sin α. |2sinαsin2α/cosα1|

221●(∞;√2]U(1;√2] {y=√2x²/x+1

221●(∞;∞) |=√2²+1|

221●√2

221●4 | f(x)=2x². (1) |

N

221●2π/3n,n*Z {cosxcos2xsinxsin2x=1

221●1/2<<2 | log2xx²<1 |

221●2cosa2cosa-sin2a/1-sina

221●ctg²α

221●cos² α |cos²α*tg²(α)1|

221●sin²α {tg²α(sin²α1)

-

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;+∞) |=²2+10|

2210●1

2210●1/10

2210●π/2+2πn;(-1)k+1π/6+πk;;n*Z

{2sin²xsinx1=0

2210●π/2+πk |ctg²x/21=0|

2210●π/4+πn; nz /tg²x+2tg x+1=0/

2210●(-∞; -1]U[1;∞)

2210●π/6; 5π/6

2210●π/4(2k+1),k*Z |2cos²x1=0|

2210●=π/8+π/2, *Z

2210●x≠1 (x²+2x+1>0)

22100●f(x)=1.

22100●√2

22100●π/6; 5π/6

22100●π/6 | 2cos2x1=0 (0; π) |

22100●83/15π ( =²+2, =1, =0, =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

221014700●2 |²+²10+14+70=0|

221016●1464 ²

2210232●{7π/6, π/2}

22103●y=12x19.

221052●1;5,5

22105824●3;4

221060●1464

2211●ab(ab) |(a²b²):(a-1+b-1).|

2211●1 | y=e2x2x (1;1)|

2211●60





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