120●π/2+2πn<x<3π/2+2πn,n*Z {cosx/1+cos2x<0
U(-1;0)
120●4/3
120●1/2 |cosα,α=120º|
120●√3/3 |ctg 120º|
120●√3 |tg120º|
120●1/6³ (V )
120●2π/3+2πn; n*z | cosx+1/2=0 |
120●||>1
120●1000
120●2πn,n*Z |(1+cos x)tg x/2=0|
120●80; 100
120●80º;100º
120●100º (<AMC=120)
120●√2/48³
120●x<0, x>2 | lg (x1) ² > 0 |
120● {√+1+√+2=0
1200●(1;2)
12004●10π/3
120031200452●4/9
12003815●920²
12009●18 ( )
1201●=2+3
12010●5
120110●38,8%.
120110111511●38,8 %.
C
120123●60
120123●20;40;60.
12014●7
1201423●10
120150●60º, 30º, 90º ( ∆)
120153●2√x+(1+5x)4+C |f(x)=1/√x+20(1+5x)³|
1202●120π ² ( )
1202●(π/6;π/6),(5π/6;7π/6) | sinx<1/2 [0;2π] |
12020●1/2
1202001●7
1202040●4
120211723●237
120212132213●2040 ³
12021215●30².
12021520●96c²
1202232●4
1202232●8 |cosx=1/2, 0<x<π/2, tg²x+√3tgx+2|
120230●=16
1202320●8 ( )
12023222●3
12024●8 |12 ∫ 0 2dx/√x+4|
1202424●1/6 |π/12 ∫ 0(cos2xcos4xsin2xsin4x)dx|
1202424●1/6
( )
12032●19
)
a b)
120375026425152508001601207●x=1/3
12040●10π/3
12040●60.70
12040●60º;80º ( ∆)
12040●72; 48
48.
1204230●16
12045● |√1+√20=45|
1205●4; 5
57,5. ( )
1205●62,5 57,5 ( 120, =5)
1205● |√+1+√20=√5|
,8
)
12050●48; 36
1205012●48/,36km/chas
12052●6;8
120555●2
1206●0,81 ².
1206●1,28 |1+cos2α, sinα=0,6|
.
1206660181●0,97
120666036●1,64
1206660362●1,94.
120725●a1=1: d=4
|
|
|
1207●5160
1207●2√5+√7/13
12075●160
1208182122115●2
121●(∞;1)U(1/2;+∞){y=lg x+1/2x1
121●(∞; 1) y=(1/2)x+1
121●(∞;1)U(1;1)U(1;+∞)
121●(∞;1)U(0;+∞) |1+2|>1
121●(∞;2)U[1;+∞) | 1/x+2≤1|
121●(1;0);(2;1) |{=1 +²=1|
121●=2+3
121●g(x)=2(x+1)
121●2 2/3
121●ctg² α |1/sin²α1|
121●√+1+ln||+ {f(x)=1/2√x+1+1/x
121●1/2ln(2x1)+C
1210●π/2(1+4), *Z |(sinx1)/(cos²x+1)=0|
)
)
30.
1210●2e1 |e ∫ 1(2+x1)dx, x≠0|
12100●12%
1210064●8√2
121013●1/2(1√3).
1210242046●n=10,q=2
121025●(∞;5)U(5;+∞)
12103●48²
12103●48 c³
121030●60 ².
121080●(1;15)
1211●(1;1)
1211●√x+1+ln|x|+C
5
1211●<2 >1 {1/+2>1/1
1211●m²
12110●11;11 12,1:=:10
12110●(11;12)
12110●(11; 12) {12/+11<0
X
12112●π/4+πk,k*Z; arctg ½+πn,n*Z
12112712●(-3;1)
12116●8
)
1212●0,25 {sin π/12cos π/12
1212●(1/2;1) y=(1/2)(x1)²
1212●1/sin²α |1sin²α/1cos²α+tgα ctgα|
1212●tg²α | (1cos²α)(1+tg²α)|
1212●ctg²α |(1+ctg²α)(1sin²α)
Cm.
1212●(πn;π/3+2πk)n, |{sinx+cosy=1/2 cosysinx=1/2|
1212●(π/6+2πn;π/6+2πn)U(5π/6+2πn;7π/6+2πn),n*Z
|1/2<sint<1/2|
1212●[π/3+2πn;2π/3+2πn)U(4π/3+2πn;5π/3+2πn],n*Z
|1/2<cost≤1/2|
1212●3/
1212●2/14²
1212●2x√12x/√1+2x
1212●360
1212●49/24π {y=1/x²,x=1/2,y=x
N
1212●5π/6+2πn<x<5π/3+2πn,n*Z |sinx<1/2 cosx<1/2|
1212●π/6+2πn≤x<π/3+2πn,n*Z |sinx≥1/2 cosx>1/2|
1212●(π/4+πn/2+πk; π/4+πn/2πk)n,k*Z
|sin xcos y=1/2 sin ycos x=1/2|
1212●(π/6+2πn; π/6+2πn)U(5π/6+2πn; 7π/6+2πn), n*Z
1212●(πn; π/3+2πk)n,k*Z
|{sin+cosy=1/2 cosysinx=1/2|
1212●[ π/3+2πn; 2π/3+2πn)U(4π/3+2πn], n*Z
1212●0,25
1212●1
1212●1 |(1sin²α)(1+tg²α)|
1212●1/5 |f(x)=ln x1/x²+1|
1212●π/5 y=1/x²; =1/2; =
1212●2,5;2,5
1212●1/4 {sin π/12 cos π/12
1212●2/a²b² |(1/(+b)²+1/(ab)²):(/+b+b/ab)|
1212●2b/4a²b²
1212●360
1212●(3/2;1)
1212●49/24π
1212●π/6+2πn≤x<π/3+2πn {sinx<1/2cosx<1/2
|
|
|
12120●{0;2}. |(x+1)²+|x+1|2=0.|
12120●{0;1} |(1)²+|+1|2=0|
12120●0; 2 {(1)²+|1|2=0
12120●0,2
121205●π/6(61), *Z
12121●π/4.
121210●1/11
12121110●0
121212●1.
121212●4 √12+√12+√12+
121212●1/2e2x1+x³/3+11/24
12121212●√x/y
12121212●x¹/² /y¹/²
121212121205●47
121212205●(1/2;1)
1212123●2
12121290●√3
121213121316●1/3
Ordm; ( )
121214●3/4.
121219●3
121219●3 /.
C.
12122●(-2;1/3)
12122●4
121221●1/2(2+1)+5/6
12122122122●4πn/3,n*Z
121221622●4
121222●7 |(sin+(1/sinx)²+(cos+(1/cosx)²ctg²x|
121222●0
1212221●x/(1x)²
Ordm;
121225400180●180
12123●(4;3)
12123●1/5
12123●16
121231●(1/3;3)
12123141●0,001
U(1;2)U(2;3)
1212321●2
1212323●d=0,2
121233620●8
121234●1;4
1212381●(2;4)
U(2;4)
121243220●[-3;-13]U[1;∞)
12125●16
121253●9.
Ordm;
Ordm;
1212772●128.
12128●π/8
X
12129●1)27,18,12 2)3,6,12
1213●π/4 | arctg ½+arctg 1/3 |
1213●(3;∞) |=(1/2)+13|
1213●3/(2+1)²√2+1
1213●0,5. |sin(arccos(1/2)arctg(1/√3)).|
1213●1/7 {tgα=1/2,tgβ=1/3,tg(αβ)
1213●<1. {x+1/2x1/3>x.
1213●<1 {+1/2>+1/3
)
X
1213●8 {logx1/2=1/3
1213●8
1213●9/8 |1∫ 2(1/x³x)dx|
1213●5/12 tan(arccos 12/13)
12130260●169
121311622●n>2/5
1213121●1/x(x+1)
1213121334●--1/4
121314216192●1/8³1/27³
1213145●c<b<a
121316●1/9
121321●255
12132152●{1},{3}; 1,5
12133224●9,6
1213341213●1/4
I
121345090180270●16/65
12135●65π
1214●(∞;3) (1/2)+1>4
1214●(∞; 2) | (1/2)x>1/4.|
1214●1/2
1214●(1/2; +∞) |(1/2)1>sin π/4|
( )
.
)
12141●2/3
121411●17
12141622233142057●1 1/15
.
( )
12141813●21/220.
12141814●1/8
1214181512115●8.
121430●84 ²
12143112●4/15
12144●1728 (x:12=144)
12144090●5 5/8
1215●(10;5) {|+1|+2=1 +=5
1215●2/5 |1cos2α, sinα=1/√5|
1215●12π ² ( )
12150●781/1250
1215105●3
121534●25;5
1215355●153√3
)
C. ( )
( )
1216●100π ²
1216●10 ( )
1216●20
1216●20 { )
|
|
|
Cm.
121625●2880 ³ ( )
1216612●599,3
12168●54(4π) ² ( )
( )
( )
12179●0
, )
1218216●3*7/6
1218216144●3 7/8
1218327423923●0
1218536●13*1/3.
12186●54(4π)²
12188●6,26
122●=2 q=1 |A(1;2) =²++q.|
122●4 (1/3) {(1-2xx2)dx
122●[1; 3] (=12sin2x)
122●1/4b |1/2b:2|
122●ctg x/2+
122●2ctg x/2+C {f(x)=1+ctg²x/2
122●tg²x {1cosx²)x/(cos²x)
122●ctg²α |(1+ctg²α)(1sin²α)
122●24cm. ( ∆)
122●[π/6+πn; 5π/6+πn],n*Z {y=√12cos2x
122●0
122●2ctg2x+C |f(x)=1/sin²x cos²x|
122●1
122●1 (1sin²)/(cos²x)
122●1 |1sin²x/cos²x|
122●1. |1cos²x/sin²x.|
122●1/2
122●14x²2
122●1/2. {1/:22/.
122●1/2 ctgα |1+ctg2α tg2α/tgα+ctgα|
122●y=4x+5 |f(x)=1x² 2|
122● |√1²=2|
122●3 |1+sin²α+cos²α|
122●3 |y12|/y>2
1220●0; 5/6
Sin2a-cos2a
122●0 {1sin²αcos²α
122●π/2(4π+1), n*Z; π;
122●π,k*Z;π/2(4n+1),n*Z | 1cos2x=2sinx |
122●πn; π/2+2πn; n*z | 1cos2x=2sinx |
122●(1; 0,5) |y=lg(1x2x²)|
122●(∞; 1/2) (y=1/22x)
122●(∞; 4) |12|/>2
122●2/x³+2exsinx
122●cos2α
122●cosx(3+x²) |y(x)=(1+x²)sinx+2xcosx|
122●432 π ³ ( )
( , 12,2)
122●u=sinx | ∫ cos xdx/√1+2sin²x |
122●π/2+2πk,π+2πn,n*Z |1+cosx=tg(π/2x/2)|
122●√7/4 |cosxsinx=1/2, cos2x|
122●cosx(3+x²) |y(x)=(1+x²)sinx+2xcosx|
1220●0
1220●0;5/6
1220●60
1220●60/
1220002●5/6
122001050●10300
122015●1440 ²
.
1221●(π/2+2πn;π/2+πk)n,,k*Z {sinx+cosy=1 sin²xcos²y=1
1221●π+2πn, (1)n π/6+πn,n*Z |1cos²x=(2sinxcosx)(1+cosx)|
1221●1/2
1221●2√22
1221●(2; 0] |log 1/2 (x+2)≥1|
1221●(23,4;24)
12210●x=π/2+2πn n*Z
.
122105●4
122111●1/y2n+1 |(1+yn+2)/y2n+1)(1/(yn1)|
12211121●(1/2; 1)
122112●√2/2
12212●cos²α |(1cos²α) tg²α+1tg²α|
122120306●81/4
1221210●<2
12212133281●6
122122●2 |1/2√2+1/2+√2|
122122245●(5;5); (7;1)
1221233281●6
4
122126●24
122128212212412●x²3x+2=0
122132●2
122133●5/6 {y=1/2sin2x,y=1/3sin3x
122141●7.
1221482●147 ² ( ∆ )
|
|
|
122153●1/4; 1. |12x²=153|
1222●1 |f(x)=1/2sinxtg2x, f(π/2)|
Cm.
1222●19/24π |y=1/x, y=x, x=1/2, x=2|
1222●2+5
1222●2
1222● |cosα cosβ|
1222●144√3
Cos2a
1222●x²+3(b-a)x+2a²-5ab+2b²=0.
Tg2a
1222●(m-n+1)(n-m+1)
1222●2cos2α
1222●3 | y=(x1)²(x2)² |
1222●tg²α {1cos2α/2cos²α
1222●cos²α {1sin²α/cos²α(cosα tgα)²
12220●π/2+πn, n*Z; π/4+πk,k*Z |1/2sin2xcos²x=0|
12220●π/2+πn; n*Z
12220●π/2+2πn,n*Z |(sinx+1)(cos²2x+2)=0|
12220●(5;5)
1222012121134●3/11
122206410●208 ( ∆ )
12221●(1;2]
1222102112●6
1222103●{2;2}
122212●1+ |(z+c1/2)²2c1/2|
12221227152●14+√140
12221227132●12+√84
12222●141 1/3
12222●143
12222●ab
12222●a8
12222●b1/(ab) |(ab+1)/(a²ab)+(a+b)/2ab)
(a/(b²ab)+(a/(b²+ab)|
12222111225●65
1222212●1 |(x+1)(x²+2)+(x+2)(x²+1)=2|
Ln2
12223●(3 2 2 1)
12223●4
1222318●1<x<1
12223212715●15
122232429729829921002●5050
122234012●a→ b→
122244●y=1*2/7
12225303132●26,875
1223●(0;3),(4/3; 1/3) {|1|+=2 2+=3
12233341122●2sin²2a
12222318●1<x<1
12222532223●8/11
12224●max=1 | =1/22²+4 |
12225●(0;1/32)U(32;+∞)
12225301212●4
12225302122● 9,25
12225303132●26,875
1222632622●(2ab-c)(6ab-3ac+1)
122284●[6;4)U(2;4]
1223●(0;3),(4/3;1/3)
1223●x<3;3<x<1 x>1
Jane 3
12230●π/4+πn,n*Z |(tgx1)(2sin²x+3)=0|
12230●π/4+kπ |(tgx1)(2sin²x+3)=0|
12230●x=π/4+πR R=Z
12233●407 2/3
R) REZ
12231●8
122312●F(x)=x2/3x³9
12231213●1
1223122●(-∞; 0,5).
12231432●10 (DACB)
12231432●14 (CB+DA)(BDBC)
12231432●2 (ABD)
AB ND)
12231432●2 (DACB)
1223241118●>5/3 {12²(3-2)(4+1)<11-8
12232433●310
122332●1/2tg(2xπ/3)
)
1223341●1
12233563●1/2tg(2xπ/3)+√3
122341●(4;+∞)
1223421●(∞;2,5)
1223421●>2,5
1223432●2,5
122343313●48.
122352●9
122362●31
54
1224●AB→=i→+6j→
12241●(4;5);(5; 4).
Tgx
1224124●x=4
12243●6²
12243220●[-3;-1][1;+∞)
12243648607284●1/128.
12244●xmax=1
12244896●1/16
12245●(2x4)6+C |f(x)=12(2x4)5|
( )
30
1225●600² ( )
1225●6
1225●676π
1225●0,8 | 1,22/5|
12251●3,5
12252●5,5
( , )
1225220●>4/5
1226●x²+(√6√2)x2√3=0
1226022601●1
122636●arccos 4/9
12264●54
1226623●25
12269●21
M
( )
12270●0;7/12.
12271322122●12+√84
1227152●14+√14
12288●6;18
123●(1+)(1+²)
123●1 3/8 |1²³|
123●15(6)
( )
123●a |1/2√³|
123●(0; 2/3)
123●(2;1) (→{m; m+1; 2} 3 m)
123●122.
123●√2x+3+C |f(x)=1/√2x+3
123●y=2x-6
123●3;1 |y=1/x+2x/3|
123●(3;2/3] |y=√lg 12x/x+3|
)
123●(∞;1)U(2;∞)
123●2; 1; 4; 7; 10 |1 5 1=2;d=3|
123●[1;3]
|
|
|
123●30º; 60º; 90º
123●4 ½ |f(x)=(x1)², y=3x|
123●3,5
123● / . |=123|
123●(6;6) |√+1=√23|
1230●(0;0),(√2;√2) {y=|x| 1/2x³y=0
1230●[1;2]U(3;+∞)
1230●[1;2]U(3;∞) {(1)(2)/(3)≥0
Ordm;
( )
1230●(∞;3)U(2;0)U(1;∞) |x(x1)(x+2)(x+3)>0|
123083●√3+3/20
12310●(1/3, 2/3) log12(3x1)<0
12311●[2;+∞)
123110101011●n+2π
123112●6
12311212●0,99
123112134310●6.
1231123●2m²; 3m².
123113544●(3 2/3; 1]
123114●AB=2i3j+k
12312●1 3/8 |1²³, =1/2|
123122●5/8.
123123●2√3. |1/2√31/2+√3|
123123●2e 1/2x31/6cos3x+C
12312312212●4
123125●0,25.
12313301231332●(8;27)
12314●(∞;-3)U(1/3;1)U(3;+∞)
12315●8 (b1=2, q=3, b15=?)
12315●6 |12+√x+3=15|
12315● |12√+3=15|
123153125●4
1231617136●16
1231617136612●16
12316223556●24/35
123168●2058³ ( )
123172●(3;1)
30
1232●2.
1232●{2} |x1|+|x2|+|x3|=2
1232●π/3. |arccos(1/2)arcsin(√3/2).|
1232●2√5/5 |x=arctg ½ x*(π; 3π/2)|
1232●[π/6+2πn;π/3+2πn)U(2π/3+2πn;7π/6+2πn]
|1/2≤sin t<√3/2|
1232●[π/6+2kπ;π/3+2π]U[2π/3+2kπ5π/6+2kπ]
{1/2≤sinx≤√3/2
1232●(√2+√4)
1232●(4+2)√6
1232●4+2³√2+³√4/6 |1/2³√2|
1232●[π/6+2πn; π/3+2πn)U(2π/3+2πn;7π/6+2πn]
1232●0,5
1232●121
1232●288 ³
12320●π/4+π/2n,n*Z
12320●1
123214●25
123215●30
12322●ctg² α
123226●10
123221●2cos α.
123122●141.
12322313●3.
12323●√2x+3+0,5sin2x+3x+C |f(x)=1/√2x+3+cos2x+3|
1232323●2.
12323●3(5√26+3√64√3)
123231●(0;0;0)
12323125●3,6.
1232323●2
Ordm;
1232440●0<x<1
12326●54
123264●54 {b1=2,S3=26. b4.
1232844132●[4;1)
12329●(1; 0)
1233●4 ( 1/+2<3/x3)
1233●(0; 27)
12330●(4,5;2)U(3;∞) {1/+23/-3<0
123314331133●15/33 (12/33+14/33)11/33
123321●(13;5)
123324681015●1
1234●1/4
1234●2√+2+4 cos(3-x/4)+c
1234●D()=(0;+∞) 2)=1; 3) [1; +∞)
1234012340101● 0,01106.
123402●12,08.
123404●10,32
1234142131●1/a³
123429●13
12344●[24;0] |√12+3=√44|
1234567891025●16
12346●0,8
123460●(1)k π/18π/12+π/3k,k*Z
12349●=2/3
1235●11/(3-5x)²
1235●162 |b1=2.q=3, b5?|
12350175207●5/6.
12351●4
1235143347739●10/17
12354●4
