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