2●(1; 2) ()
2●(1;2).
2●(2; ∞) |>2|
2●(4;+∞) |√<2|
2●[0;4] |y=√2-√x|
2●1/6 |=2-|
2●1; 4; 9; 16; 25 |n =n²|
Cos2xdx)
2●1200
2●18; 24/
2●√x+2=x
2●(+)(1) {+(+)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+π≤x<π+2π
2●2sina {(cosπ/2-a)+sin(π-a)
2●cosαsinα (cos2α/cosα+sinα)
2●2√3
2●2π |y=cos(x-2)|
)
2●2πn; 2π/3+2πn;n*Z {cos(-2x)=cosx
2●πn/2≤x≤π/4+πn/2; n*Z
2●4cosφcos2φ | |
2●42 (bn=n²n)
.
)
( )
2●cos2x |tg(-x)ctg(-x)-sin2(-x)|
2●ctgx / lna
2●ctgx/ln2 |f(x)=log2(sinx)|
Cos 2xe
2●d=3i+jk
2●b=P2a/2 |P=2(a+b)|
2●2x cosx²
2●2x+cosx |f(x)=sinx+x².|
2●180
2●tg α |tg(πa)cos(a)/sin(π/2α)|
2●x=π/2+2πn;y=π/22πn; |{x+y=π sinx+siny=2|
2●x=π/2+πn,n*Z; =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●²+2b+b² (a+b)²
2●a²k+2ak+1 (ak+2a)ak
( )
2● ( )
)
2●π | y=sin2x|
2●π | , |
2●2π
2●2/15π ( =, =²)
2●2xsinx² |y(x)=cosx² y(x)|
2●30
)
2●π/2(2π+1) n*Z(1)k π/6+πk,k*Z (cosx=sin2x)
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●π+πn,n*Z
2●2xcos²
2●πn, n*Z; π3+2π |sin2x=sinx|
2●πn/2≤x<π/4+πn/2,n*Z | =√tg2x|
2●πn≤x<π/2+πn,n*Z |y=√sin2x/cosx|
2●=πn, =π/2+2πn... |f(x)=sin2x +sinx |
2●=π/3+2π, *Z |f(x)=sinx-x/2|
2●=0; =π/2+π |f(x)=xsinx+cosx|
2●2x+sin2x/4+ |f(x)=cos²x|
2●=4 |=√2 =2|
2●b=π2a/2
2●2√3
2●[-2:2)
2●[0:+∞)
2●1/3
2●(1:2)
|
|
|
2●cos
2●π
2●√3 (dx/cos2x)
2● 2+2 +1 |(+2)|
2●9/2
20●0 |y=sin x/2, y=0, x=π|
20●1 |π/2 ∫ 0 cosx dx|
20●200√3 ² {
20●[0;∞) {ππ2≥0
20●√45(5)
20●1
20●2 |f(x)=ecosx+2esinxf(0)|
20●(2k+1)π/2;(1)nπ/6+πn; k,n*Z |cosxsin2x=0|
20●2πk, k*Z (sinx+tg x/2=0)
; 5
Ordm;
20●2k 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% ( % )
20●9
20●2.
20●15,2%
20●π/2π,nεz
20●π/2+1 | π/2 ∫ 0 (ctgxtgx+cosx) dx|
20●200√3
20●30 ( ∆ )
20●60 120º
Ordm; ( )
20●5;4
)
Ordm; ( )
20● 9º
20●π/6+2πn{/x{/π/6+2πn
20●πn/2
20●π/2+1 |π/2 ∫ 0 (ctgxtgx+cosx)dx|
20●π/2+π,k*Z |sin2x/sinx=0|
20●=0 =1. |²=0?|
20●x=2n,n*Z |sin π/2x=0|
20●8; 8; 4
Cm ( )
)
20●a²+2. |2=, a>0|
20●(-2;+∞)
20●0;1;-1 (y=sinx/2,y=0, x=).
20●1
20●2.
140
20●40 140 ( )
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 |cos²xcosx=0|
20●π/4+π/2n,n*Z | os2x=0 |
20●π/2n,n*Z |sin2x=0|
20●πn, n*Z {2sinx=0
20●πn, n*Z;π/2+2πm, m*Z
20●100/π ²
20●100 π cm²
20●100 π ² ( 6)
20●=-2
20●8 log2logx=0
1)
1)
1D1)
C 1)
1 D)
M 1)
1 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.
.
20034060●√3 |cos200+cos340+tg(60)=?|
2004●(ab²; a/b²)
2004025●100.
|
|
|
2005●10 (200 5% )
)
201●√5(4)
201●2xcosx+2 {f(x)=2+sinx,F(x),M(0;1)
201●y=1,5x-0,5
201●2y+3x5=0 |y=√x/x² x0=1|
2010●38,8%
2010●π/5 {y=x²,x=0,x=1,y=0
201014●8√3
Cm. ( )
20104203010●18
2011●3
2011101115111●38,8%
2011042254225●1/2
2012●8 2/3 | 2 ∫ 0 (1+x)²dx|
2012●240 ² ( )
20120●400√2² ( )
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
,16
2014●10 2/3
201412014●100π | |
2015●4 |√20√+1=√5|
2015●375π ² ( )
2015●(375π)
. ( )
C
2016016●80 /
2018●=6, =12.
Ordm;
( )
201824●288 ² ( ∆)
202●0 |π/2 ∫ 0 sin2xdx|
202●√2/4 |f(x)=sin x/2, x0=π/2|
202●20(π+1)/π ²
202●√5(3)
202●π²/12 |=2/π, =sinx x*[0; π/2]
202●½(4 1)
202●0,5;0,5
202●6/3
202●1/2(e41) |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
Cos20; 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 ² ( )
2020384●400
20204015015020●4
2020401501502032032011511520●cos115º<cos115ºcos20º
202040320●4
20206●12 |√20+/+√20/=√6|
2021●10 ²
202160●[3;4)
2022●0 |π/2 ∫ 0 sin2xcos2xdx|
2022●0 |π/2 ∫ 0 cos²xsin²x)dx|
2022●(1;0)U(1;2) | {x²x>0 x²x<2 |
20224230152●60³ ( )
2023●4
2023●√3/2 |π/2 ∫ 0 cos(2x+π/3)dx|
20233740100103●a<b<c
4
2024254210●290
. ( )
( )
20243015●60³
202452255●2
)
2025●40
2025●40% ( 1 )
2025●3 |√20√+2=√5|
.
2025●a²b
)
202512●500
2025165●1
202516570●1.
202518●2880 ³
20259545●6√5
2026●²+(-3)²=13
40
2027●540
2028022442●20(a+2b)/a-2b
203●√5(8)
203●21/3 | ln2 ∫ 0 e3xdx |
203●30 ²
203●20(π+1)/π ² ( )
2030●155
2030●300π ² ( )
2030130477720●2,857
,300
;300
)
|
|
|
2030320●3 1/3;3 1/3
203187●14=0,5
20324●1/160
203254●10
2032606400●560
203260640033●560 ²
20333141052321812●2612/27
2033622●2\
2035●8 |√20√x3=√5|
2035● | √20+√3=√5 |
20350●x<2.
2036223●2 /.
203622●2/
( )
2038114113642●95,7.
204●20
204●y=2x+π/2 {=cos2x, x0=π/4
, 16 ( )
2040●68 %.
2040●cos 10º |sin20+sin40|
2040●23, 29, 31, 37
2040●2x6+x23
204010●0
2040135●100 √2c². ( ∆ BCD)
2040135643●48√3 ²
204060●0
204060160180●0
20406080●4
20406080●3. |tg 20º tg 40º tg 60º tg 80º|
20406080●1/16 |cos20cos40cos60cos80|
Sin20 sin 40 sin60 sin80
20408011511025●2√2+2
2041●3/2. |2 ∫ 0 dx/√4x+1|
20422210●2,5.
2042327●1
2043●8
)
20444●6
2045●5 √+√20=√45
20451132●33
204528031255●110.
205●14%
205●(π/6+π;5π/6+π), 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● |√+√20=√5|
( )
.
2050●(x3,5)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
|cos²x0,5sinx>1|
205101●101 ( 205/101)
205101323●480
Ln2
20521●(1;2)
205212●20,5x+1ln2+1/6(2x+1)³+C
205214●470
2053●8,5
2055●5
Cm
206●=1
2060●20√3
20600●20√3
2060206575303075●1.
206306●15
2065206575303075●1
207010●1/4cos40º
, 6 ( )
6
2072●20
2073243●22
208135●2 / 14
2081510●60,69,79
20821022●65 ² ( )
2082512●480 ³
( )
208306●3,4.
Tg
208600●5780π
2086002●5780π ³
209●3
36
209030●20/√3; 40/√3.
209223●54
Cos(2arctg1)
21●1 |√x²+x1=√x|
21●²√17/12(√19) ( S )
21●π |f(x)=arcos(2x1). f(0)|
21●(3;7) | |
21●1 |sin²α/1+cosα+cosα|
21●2(+√)+ |f(x)=2ex+1/√x|
21●1; 2
21●1;2 =|cos α/2|+1
21●1/2 f(x)=lnx/2x x=1
21●1/2 f(x)=x+ln(2x1)
21●(1;2) (f(x)=log 2x/x+1)
21●(1;0)U(1;∞) | f(x)=√x/x²1x |
21●2π |2arccos(1)|
21●1 | |
|
|
|
21●2/9 (y=x/2+1)
dx
21●2x+1² f(x)=ln(2x+1)
21●2tg²α | (sinα+cosα)²1/ctgαsinαcosα |
21●(3;+∞) |√x2>1|
II III.
21●[2; 3]
21●[0; 1) | √2√x>1 |
21●[0; 1] |² ∫ 1dt≤0
21●π/2+2πn n*Z
21●π/2+2πn,εz
21●(π/3+2πn; 5π/6+2πn),(π/3+2πn; π/6+2πn),n*Z
| xy=π/2 cosx+siny=1 |
21●π/4+πn n*Z
21●5π/2+2π,*z
21●1/x(x2+1)3
21●(x+1)2ex |=(²+1)|
21●(x²+2x+1)e
21●(x+y)/(xy) | (x/yy/x)(x/y+y/x2)1|
21●x²-x+C
21●π/2+πn, n+2πn, n*Z
21●π/2+πn, π+2πn, n*Z |sin²x=cosx+1|
21●0
21●(1;1/3) |2+1|<|x|
21●1. |sin2α, tgα=1|
21●0. |sin2α, cosα=1|
21●1. |√²+1=√|
21●1 |sin²α/1+cosα+cosα|
21●1cosx |sin²x/1+cosx=?|
21●1. {2|x1|
21●π/2+kπ<2x<π/4+kπ,k*Z
π/4+kπ<x<π/8+kπ,k*Z |tg2x<1|
21●20/
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+ π/2; k*Z
21●π/2+πk; k*Z {cos2x=1
21●3 |C=(ab)(a+b) |
K kEZ
21●5π+2πk |tg(x/2π)=1|
21●2π
21●2π<x<π/6+2π,k*Z; 5π/6+2π<<π +2π,n*Z
|sinx+cos2x>1|
21●I III |f(x)=2x1 |
21● { |2+1|=
21●π/3+2πn≤x≤π/3+2πn,n*Z |y=√2cosx1|
21●2 |2 ∫ 1 dx|
21●a6=7 (6 )
21●π/4+πk,k*Z (sin2x=1)
21●π/4+kπ | tg(2πx)=1 |
21●π/4+πn≤x≤π/4+πn,n*Z |y=√cos2x/1+sinx|
21●π/4+πn,n*Z |2sinx+cosx=1|
21●(x+1)²ex y=(x²+1)ex.
21●√x²1+C
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) |√²+1=|
21●1;1
21●π/3+2πn,n*Z |2tgx=cos/1+sinx|
21●320
21●(∞; 1) (2x<|x|+1)
21●(∞;1)U(1; ∞)
21●(∞;1)E(1;∞) |y=lg(x²1)|
21●[0; +∞) | =√log2(x+1) |
21●[1;+∞) |=2√1|
21●[1/2; 1)U(1;+∞)
21●π/3+2πn, n*Z
21●1 |√2+-1=√|
21●1 |sin²α/1+cosα+cosα|
21●π/4+2πn,n*Z |√2cosx=1|
21●1/√(2+1)3
21●2, 5, 10, 17 |xn=n²+1|
-1
21●(∞; 0] |=2lnxax1|
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)=x1/2
21●y , k , |f=2++1|
21●π/2+πn, π+2πn,n*Z |sin²x=cosx+1|
21●π/3+2πn≤x≤π/3+2πn,n*Z |y=√2cosx1|
21●π/4+πn,nZ {2sinx+cosx=1
21●πk≤x≤π/4+πk |cos²x≥1sinxcosx|
21● |²/1|
21●=1
21●{4} |√x2/√x=1 |
21●=π,εz
21●x=π/2+πk;π+2kπ,k,k*Z |sin²x=cos x+1|
21●0;-2
21● {|2+1|=
21●(π/3+2πn, 5π/6+2πn);(π/3+2πn; π/6+2πn),n*Z
21●82 |f(x)=√2x1|
21●1/e (y=x²xx, x=1)
21●ab
21●kπ |tgx+cos2x=1|
21●πk,k*Z |(sinx+cosx)²=1+sinxcosx|
21●x*(π/2+πn; π/4+πn],n*Z |tg(2π+x)≤1|
21●3 ә 5 |f(x)=x²+x+1 1)ұ 2) 3)ұ қ 4) 5)|
ғ, :21
210●1/2 f(x)=x+ln(2x1)
210●(-1)n+1 π/n+πn,n*Z |√2sinx+1=0|
|
|
|
N
210●(-1)n π/6+πn,n*Z |2sin1=0|
210●(2;+∞) |√²+10=|
210●[π/3+2πk;π/3+2πk], k*z
210●π/4+πn/2<x<π/8+πn/2,n*Z |tg2x1<0|
210●π/6
210●π/4+2πn.n*z |√2cosx1=0|
210●(1;2)U(2;+∞)
210●π/3+2πn n*Z |2cosx1=0|
, 4, 4 .
210●x=(1)k π/6+πk,k*Z | log2(sinx)+1=0 |
Cm
210●π
210●π. f(x)=arcos(2x-1). f(0)
K
210●π/3+2πn≤x≤π/3+2πn,n*Z |2cosx1≥0|
210●π/4+πn/2<x<π/8+πn/2,n*Z |tg2x1<0|
210●π/4+π/2k, k*Z |ctg²x1=0.|
210●60; 75/
210●14+k/2k k*Z
210●[0; 1] | x² ∫ x 1 dt≤0|
210●m=2, m=1
2100●[0; 1] |² ∫ 10dt≤0|
21000●0;50.
21001●4/3
210013●3π+π/2
2100180●45
210021212100212100210021●1
2101●0 |x²1=lg0,1|
2101●10 |x²=10lgx+1|
2101105●y=11;y=36
2101105●)11; )36
21012●11 13/15π |y=x²+1, y=0, x=1, x=2|
21012●1 1/3
21014●144π ²
