22915898●1
22916●5 |2√²9=16|
(0;3)
22980●7;7
23● (∞;0), (0;∞) (= 2/3)
23●k=2, b |y=kx+b,y=2x+3|
23●8 |sin2α, sinαcosα=3|
23●1 | |
)
23●1/2e2x-1/3sin3x+C
( )
23●(-∞;+∞)
23●18π ³ ( )
23●(∞;+∞) |=2+3|
23●(11; +∞) |√2>3|
23●(∞;0] | y=√2x3x|
23●[1;5] |y=23sinx|
23●[1; 5] ( |23cosα|)
23●2cos2x3sin3x (f(x)=sin2x+cos3x)
23●2ctg3x |f(x)=ln(sin²3x),f(x)|
X ln2
23●=0,5x+1,5 |=23|
23●2/2x+3 |y=ln(2x+3)|
23●1
23●108 log2(lgx)=3
23●30
23●4 |=2+cos(x+π/3)|
23●4,5 ( |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●3²(³+1) |()=²+³ |
23●2sin(2x+3) f(x)=cos(2x+3)
23●2sinx+3cosx+C f(x)=2cosx3sinx
23●2cosx+3sinx+c f(x)=2sinx+3cosx
23●2xsin3x+3x²cos3x |f(x)=x²sin3x|
23●[0;+∞) |y=2ex+ax3|
23●3/8
)
23●8/x3 (2/x)³
23●83-122+62-3.
23●x>=0, √3
23●xmin=1 | f(x)=x²3x+xlnx |
23●x3/3-3cosx+C
23●2cosx+3sinx+C |f(x)=2sinx+3cosx|
23●x/√x²3 |f(x)=√x²3|
23●x<1, x≠0 |x²>x³|
23●x3/3+3cosx+C
23●³/33cosx+C |f(x)=x²+3sinx|
23●y=2/3-x
23●y=x3/2 (y(x)=2x+3.)
23●x=3/2n
23● |=²+3||
23●(∞;∞) |f(x)=2x3|
23●(∞;0) |y=√2x-3x|
23●[1;5]
23●1
23●√5/3 {sin(arcos(2/3))
23●1 |2 3cos α|
)
23●1/3; 0; 1/3 |n=n2/3|
23●1/xIn3. f(x)=log3 2x,f(x)
)
23●2,25
23●2/2+3
23●18 (ө Қ
23●18π ²
23●18π ³ ( )
23●2/x²
23●(2; 1) |{m.m+2} 3 m|
23●2π/3+2πn; n*Z (tg x/2=√3)
23●3 (<AOC=2, <ABC ao=oc=3)
23●323ln2 {f(x)=23x
)
23●3y²
5 )
23●√6+√2/2 |√2+√3=?|
23●3π/2n,n*Z {|f(x)=tg2x/3|
23●3/7x²³√x+3/2x³√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-2n3, 5 )
23●6 ( )
23●6;3 | √2=/3 |
23●9
23●9 /lgx=2lg3/
23●x/2-sin6x/12+C
23●x≥0,x≠√3 |y=√x/x²3|
23●x≥0 x≠√3
23● /=√2+3||/
23●π /y=sin(2x-π/3)/
23● tg x/2=t
23●u=x³ | ∫x² e x³ dx|
23●9 (2|xy|+|yx|, 3=)
23●a*(π/2;0)U(π/2;π) |a*(π;π) sinα+cosα=2/3|
23● (2=3, )
230●0 | f(x)=tg²3x. f(0) |
230●0,5
230●1 (2xy3)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
)
)
, )
( AD)
230●∞<n≤12,0≤n<∞ |x²+nx3n=0|
230●(∞; 0) U (1; ∞) |² ∫ 3dt>0|
230●5π/6+2πn, n*Z |2cosx+√3=0|
230●πn,n*Z 5π/6+2πk,k*Z |sin2x+√3 sinx=0|
230● |2cosx+3=0|
230● |√2+3=0|
230●π/3n, n*Z |2tg3x=0.|
230●5π/3+6π *Z
230●[π/6+2πn; 11π/6+2πn],n*Z |2cosx √3≤0|
230●(0; 5π/12) |ctg2x>√3 xE(0; π)|
)
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
)
23003060●2 |2sin30ºcos0º/tg30ºsin60º|
230041212●4,008
23018●3.
230205●6,25
230211●[2; 3) |{ln(2x3)≥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(x1)
231●π/6+πk,*Z |cos(2x+π/3)=1|
231●(0;∞). |(2,3)x>1|
231●3;-1 /2+3=1/
231●[3;1) |²+3/1≤|
231●2 logx(x²x3)=1
231●{2;1} { |23|=1
231●[3,25;+∞) |y=x²+3x1|
231●3/8. |f(x)=x/√x²+3, f(1)|
231●x=arctg9+π,k*Z
231●1,3
231●2x+3 |y=x²+3x1|
231●Ǿ |²3+1=|
231●(∞;2] |=2√3+1|
231●x=1/3 |²3+1=|
.
231●6ln(3x+1)/ 3x+1
231●2/3sin(2/3x1) /f(x)=cos(2x/31)/
2310●2π/9+2π/3n,n*Z /2cos3x+1=0/
2310●(-1)n π/18+πn/3; n*Z (2sin 3x1=0)
2310●18
2310●(∞;6,5)U(3,5; +∞) | |2+3|>10 |
2310●[3;2]U(1;∞) |(+2)(+3)/1≤0|
)
231011232●2√2.
231020●1; 2
|
|
|
)0; )-6
2310210●[-5; 2]
231022103●2,032
23102321●(4; 8)
2311●3x1/3√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
, 6 ( )
2312●9y-x-14=0
2312●(1)k π/12+π/6+kπ/2,k*Z
2312023●22
23120●9π ²
)
2312023●22
Xy
231219195412..●14
23122●24 |g(x)=(2x+3)12. g(2)|
; 6
231223●>1/3
23122318●3
. ( )
; 6
23123218●=2, =1.
2312329●(4;1) |=2/31 2/3 =2+9|
23123556320●22
23124421●3
231248●4m+n/2m+n
23125●+1 |2 (3+1/2)5|
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(3+-1),*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●→→
23149513●3
2315●5
23150●39
23150●162
2315115●(3;5),(5;3).
23152933●0.
231557158035●4000.
23157●1 (ʖ )
2316●48
Ln16
231621●(5;-2)
2316232●(1/2;4)
23162321●(4;8)
23163431232●2/9
231644053●4 /³
23166●188
23169●1014 ( )
23171●6 |√x2√3x17=1|
231722315●(3; 2)
23172317●tg9α
2318●4
2318●12 (||:||=2:3, 1=8)
2318108●3m+2n/2m+n
2318421893●n=5
231842360●5;2
231842360●2 / /
232●a+3b/2a+b
232●17 /2mn+m+n, m=3, n=2/
232●1. /cos π/2sin 3π/2/
232●1<x<3 |x²3<2x|
232●0; 5. |=√²3√2|
232●(1; 0)
232●1/4 √+√+2=3/√+2
232●1,5 /y=x²3x+2/
232●1*1/3
232●(-1)n π/6+πn; π/2+2πk;n,k*Z |cos2x+3sinx=2|
232●(-1) π/6+π/2
232●1/6sin6x+C
232●26x/cos²(2x3x²)
232●³√4
232●4²+12+9 |(2+3)²|
232●x4+6x²y+9y² | (x²+3y)² |
232●5π/12+2πn<x<13π/12+2πn |2cos(xπ/3)>√2|
232●60; 120.
232●64, 512
232●4x²+12x+9 /(2x+3)²/
232●1 1/3 |y=x²+3, y=2.|
232●(x1)(x2) |x²3x+2|
232●a+3b/2a+b.
2320●arctg 0,5+n;arctg2+k
2320●[0;3,2]
)
2320●πn n*Z;arccos(-1/3)
2320●πn,n*Z arccos(1/3)+2πk,k*Z |2sinx+3sin2x=0|
(0;3)
2320●1/x²+2lnx+C
2320064503812120217196●0
A6
23205●π/2,k*Z
2321●(1;3)
|
|
|
2321●πn,n*Z |tg²3x=cos2x1|
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(x3)²+1=x2|
23212●S={2}
2321202●4.
2321223●>8 |2+3/2>1/2++2/3|
232122●2π/3. |2arcsin(√3/2)arctg(1)+arccos(√2/2)|
232122●2/3
2321232117●1,5
23212424●2
23213●3
2321316●5
232133165●2
2321417● |23+2(1)=4(1)7|
232142●1.
2321454●1; 2 1/3
23216●3 |²32|=16
2321636●(∞, 1,5)U(1,5; ∞)
Cos
2322●4/3
2322●x²6x-4/3x(x2) |x+2/3x2/x2|
2322●(0; 1) |log2(32x)>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(x3)+log22<2
23222●(5;+∞) |→=(2;3;2) b→=(2;2;α)|
23222●(∞;-5)
23222●5π/24
23222●7
23222●1/a |(ab)²/a³2a²b+ab²|
232221614●50.
2322222● |(a²/a+ba³/a²+2ab+b²):(a/a+ba²/(a+b)²|
23222225●(2;1),(2;7) |=2+3 (2)²+(+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+2π
232232222313●(1;2)
232234●2
232234●1 | (√2√3)²+(√2+√3)=4 |
23223535●2
232238●1,7
A
232240●(13;∞)
X
232242323●0 |√x²+3224√x²+32=3|
232243●x<11
232247●6
2323●2x3/2x²+5 |f(x)=23x M(2; 3)|
2323●1 |sin²3x+cos²3x|
2323●1/6sin6x+
2323●6
2323●12/13. |sin(2α+3π), tgα=2/3.|
N
2323●x |2x/x+3 2+/+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
|sin²x3sinxcosx+2cos²x<0|
23230●πn,n*Z (-1)k arcsin1/3+πk,k*Z
232305●[π+3π; 2π+3π]
23231●1; 33
K
232312●√6;√6
232312●√6;√6 |²+3+√²+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|
23232323●2√3
2323232323●1/9
232323443●bc+a/a²b²
|
|
|
232328●24
23233●[2π/9+2πn/3;π/9+2πn/3],n*z
232331011●2√2.
232332●a²9b²
232332212●3+√5
232332222313●(1;2)
2323322●1
232341312●3x²+8x²6x5.
2323433●(13/14;1/7)
2323490●147
2323511●413.
232355●1; 4.
)
2324●1 |2+3√2=4|
2324●(1;5);(3;3) |=2+3 =²+4|
23240●m<4
232410●(1;5);(7;11) |=23 =²+410|
232412●1<x<0
232412●(1;0) | (²++3)(²++4)<12 |
232415●1,5
23242●28 ( =2)
; 6
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●104/
K,
23246432281●6
23248●1/2
2325●(4;3)(1/4; 3 3/4)
)
232510●[3;2]U(1;∞)
23251879●1/18
23252●(∞; 0,05)
2325314363●2
23253400●9
2326●6;1. |²+3|=|26|
232631●2x/(1-3a)(x+2)
232652●1/(a+b)²
2327●1 1/6
232716271127●18/27 (23/2716/27)+11/27
2328●(2;2);(2/3; 2).
23280●10
23281●a)40 b)3 ,
233●1/3 |sin α/2=√3/3, cosα|
233● |2/3³√|
233●cosα |2cos(π/3α)√3sinα|
233●{0;1}
K
233● |2cos3x>3|
233●1;2 |√2x+√x+3=3|
233●2 f(x)=logx2(3x/3+x)
233●2 {y=2/3x+3
233●2√3+3
233●cosα {2cos(π/3-α)-√3sinα
233●4/³
233●(2;1)
233●1. |π/2 ∫ π/3 (cosx√3sinx)dx|
233●x²+6x6/(x+3)²
233●cos6 | 2cos(π/3x)√3sinx |
2330●{0;1}
2330●1/√3 ³
12
2330●2 |tg2αctgαsin3α, α=30º|
233010●60/, 40/.
23301812●23
2330223●π/2
233060●1,5 dm³
2331●5/8
23310●*(∞;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 | ∫ (²33/2)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 (3k1),k*Z
233232..●1151/2-3/2
233233234●0
2332382●(3; 3)
233239●(3;1)
23324●xmax=0, xmin=1 |f(x)=2x³3x²+4|
2332501●0
23326●xmin=1; xmax=0
23326●10 | (2)3³+(2)6|
233266●3(x²x+1)/√2x³3x²+6x6
2332622●36;12
23326612●0≤x≤1
2333●(+/)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●ab+c
23344512334●9/5
233451151389336526991812137918505●9
2335●√29
233502350●(∞;5/3)
233510●[3,2]U(1,∞) {(x+2)³(x+3)5/1x≤0
23355072●2a+3/2ab+1
2336●4
2336●=4
233611815●2 1/3.
23362●81 ² ( ∆ OPM)
233634●2
S7)
233729●2
23373512●9;3.
2337511●1; 7
23375118●1;7
23378511●1;7
233795●{21;29}
2338●119º ( )
2338●{2;4} |²3=38|
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
)
234●9
234●2√2
234●(-∞;1/2)U(7/2;+∞)
234●3 ( =2, =3, =4)
234●x<y<z
2340●(1;0]U(4;+∞) | /x²3x4≥0 |
2340● |x²+3x4>0.|
2340●(4;1) |²+34<0|
2340●(0;1/9)U(9;+∞) |log3 2x4>0|
2340●64
Ordm;
23411●2,5.
23411●491
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/3π/4):π/2|
2342●3 |g(π/2), g(x)=(3x4)cos2x|
2342●3 | eln(x²3x+4)=2 |
2342●y³/2ab
)
2342●(3;2) |=√(2)(+3)/(4)²|
2342●42+92+16z212+16z24z.
23420●1/2 (log2x+34)2=0
23420●135
23420225●(0;5),(1;4)
)
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 |√x²3x/4≥x²3x/4|
234234●5/2
234234●2 1/2 2/3/42/3/4=?
234234●1/√5 |ctg2x=3/4 π/2<x<3π/4|
234234●tg3x (sin2xsin3x+sin4/cos2xcos3xcos4x)
234234336
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,*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≤34x≤5|
2345●(1;1) {√=√2+3, 45
)
2345●5√5
23451●2
234510037●445,97.
234534001●2
2346●54² ( )
23461●0,8
234623202●3.
23464●2√3
)
X-4y)(x-1)
2347●1 1/6
234815●pk+1/4k+p
( )
( )
234827●1;7
235●//////-1xxxx4////
235●\\\\\\1xxxxxo4/////x→ |2x-3|<5
235●0,96 |sin(2arccos 3/5)|
235●1
235●(1;4) |23<5|
235●7/25. |cos2α, sinα=3/5.|
B7
; 6.
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 |sin2xcos3xsin5x=0|
X
23512●5/3
23512●2 |√²+35=√12|
235122●(2;0)
235141559●x=1*9/6
235170●(∞;6)
235172551●(4;2)U(3;+∞)
2352●1/2
2352●1/2 {tg(ab)=2,sinb=3/5,π/2<b<π
2352●4/7 {2sinα+3cosα/5sinαcosα, ctgα=2
2352●1/16;2 |log(log²x3logx+5)=2|
2352●=2+3/52 |=²6+11|
U(0;3)
23521032●140.
23522322253●0
2352235253●4√2
2352311●1,2
235237●1;4.
235243●max=2; xmin=1/3
23526●tgα=19.
2353●12. {y=2/3x+5 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) |{²3=5 7+3=1|
2356100●61
23581●1
23581●1 (b2=3, b5=81 )
2358408●8a/(a-5)(x+8)
235925●5/3
236●12
236●x>3 √x2x>√3x6
236●<9 |2/36|
