.


:




:

































 

 

 

 


)




1●√x/√x-1

1●ctg(x+1) |f(x)=ln sin(x+1)|

1●[0;+∞) |√>1|

1●2√x(1/3x+1)+C |u(x)=x+1/√x|

1●2πn,n*Z

1●{x=(1)karcsina+kπ, k*Z} {|a|≤1 {sinx=a

1● {||>1 {sinx=a

1●x={arccosa+2kπ,k*Z {|a|≤1 {cosx=a

1● {|a|>1 {cosx=a

1●x={arctga+kπ,k*Z {tgx=a

1●x={arcctga+kπ,k*Z {ctgx=a

1●1 |1sin α cosα tgα|

1●(∞;-1]U[1;+∞) {|x|≥1

1●(∞;-1]U[1;+∞)

1●(1;+∞) |=loga√x+1|

1●a)-1;1 b)jok c)[-∞;0][0;∞]

1●a)1;1 ) (∞;0)(0;∞) |=1/ ) ) ) |

N

1●)x1=1,x2=1; )1=min,x2=xmax (y=x1/x)

1●1/sin α |ctgα+sinα/1+cosα|

1●1/sinβ |ctgβcosβ1/sinβ|

osx

1●1/cos α |1tg(α)/sinα+cos(α)|

1●1/x2sin21/x

1●2π |y=sin(x+1)|

1●2π |(π+arcos(1)=-x|

1●4/15

Sup2; ( )

1●2π<x≤+2πn

1●45 |arctg(1)|

1●135 |arcctg(1)|

1●2√x(1/3x+1)+C |u(x)=x+1/√x|

1●π/4 |arctg1|

1●3π/4 |arcctg(1)|

1●1; 1

1●y=1x |y=1x|

1●cosα |1/cosαsinα tgα|

1●1/cosα |tgα+cosα/1+sinα|

1●cos2xsinx y(x)=cosx (sinx+1)

1●sinxcosx/1+sin2x (f(x)=1/sinx+cosx)

1●x<1, x>1

1●1/2

1●a)1;1 )(∞;0),(0;∞) ) | =1/ |

1● |sinxcosx=1|

1●x≥1

1●xx +c

1●x1; x≠πn;

1●π/2+2πn+2πn<x<π/2+2πn

)

1●1 sinβ

1●√2

1●1/√π

1●π/2+πn<≤π/4+πn,n*Z |tgx≤1|

1●π/2+2πn≤x<π/2+2πn,n*Z |y=√cosx/ 1sinx|

1●π/2+2πn<x≤π/2+2πn,n*Z |y=√cosx/sinx+1|

1●2πn<x≤π+2πn, n*Z |y=√sin/cosx1|

1●π +2πn, |cosx=1|

K

1●x²sin²x1/1 f(x)=ctg x/1

1●(π/2+πn, π/4+πn],n*Z |tgx≤1|

1●(1;0)

1●(1;0) |=lnx y=x1|

1●(√3-1)/4 {|| |ctgβ-cosβ-1/sinβ|

1●(πn, π/4+πn],n*Z |ctgx≥1|

1●[0; +∞) |√>1|

1●[2;∞) |y=√x+1/√x|

Cosx)

1●1/2

1●1/x²sin² 1/x |f(x)=ctg 1/x|

1●1/2(x-1) |f(x)=ln√x1|

)

)

1●1/sin?

1●1/cosα |1tg(-α)/sinα+cosα(-α)|

)

1●1+tg²x |1+tg(-x)/ctg(-x)|

1●2 |1+sin α|

1●2πn,π/2+2πn {sinx+cosx+sinxcosx=1

1●2πn<x≤π+2πn, {y=√sinx/cosx1

1●2, 3, 4, 5 |xn=x+1|

1●2π {(π+arccos(-1)=x

1●2π |y=sin(x+1)|

1●4√3/27

.

1●cosα {1/cosαsinα tgα

1●cosx/2√sinx+1

1●1/sinβ

1●g(x)=x²1.

1●tg(1x) {f(x)=lncos(1-x)

1●1+tg²x {1+tg(x)/ctg(x)

1●x<1,x>1 {y=x/x-1

1●x≥1 {y=√x√x-1

1●x≥1 |f(x)=√x√x1|

1●x≥1, x≠πn, x≠n,

1●a)-1; 1 b)(-∞;0)(0; ∞) c)

1●√-1/-1

1●x/+1

1●e/+1

1●[-π/4;π/4]

1●π/4 {ctg x=1

1●π/4+πn, n*Z

1●π+2πn; π/2+2πk;n,k*Z |1+cosx=sinx+sinxcosx|

1●2πn,π/2+2πn |sinx+cosx+sinxcosx=1|

1●≤0,≥1

1●-²/2+

1●/+1

1●ctg(x+1)

1● (lgcosx=1)

1● (lg cosx=1)

10●(1;1) |f(x)=x+1/x, x≠0|

10●(1/100; 100) √x lg√x<10|

10●35

10●75√3 ². { ∆

10●(∞;1)U[0;+∞) |x/1+x≥0|

10●10 ( , 10/π )

10●40/

)

10●πn,n*Z

10●(∞;0]

10●(∞;0] {y=10√x

10●1%

10●28%

)

10●15

)

E

Ordm; ( )

NPKM)

10●30 000

10●3 1/3 ( ∆)

)

( )

10●10√2

10●a-b\10b

10●y=1/x7 | y=1/x, x≠0 |

10●ln2+1/2

10●ln[x+1]y²/2=C |dx/x+1ydy=0|

10●xn+1=xn+10

10●π/2+2πn; n*Z (sinx1=0)

10●(0;1)

10●40/ ()

10●(0;1/10)

10●(-1;0)

10●(-∞;1)U(0;+∞)

10●1

10●10 ( x≥10)

10●1 {(√x+1≤0)

10●1/2n+1

10●1/2π ( =√, =1, =0)

10●15

10●sin(170) (sin 10)

10●21%

10●24/

10●2πn,n*Z; π/2(4k-1),

N.

10●20π {( )

10●23

10●3√2

)

10●4/

10●4 2,5 ( (10)

10●45

( )

10●π/2+2πn; n*Z

10●5 ( ∆)

10●20π

10●π/4+π,*Z

( )

10●5 {( )

10●50 ² ( )

10●50 ² ( 4 D)

10●π/2

10●π+2kπ |cosx+1=0|

10●33,1%

)

.

)

.

10●ab/ 10 b.

10●π/2 (arcsin(-1)+arctg0)

10●π/4 |ctgx=1 (0; π)|

10● .

10●<1, >1

10●π(2n+1),n*Z; π/2(41),k*Z |1+cosx+sinx=0|

ө ң ғқ:10

Ordm; ( KMP)

100●50º 130º ( 100º)

130

100●40۫º; 40º ( )

100● II =() |=tg100|

1001223●3³

1003●101.

қ ү ө :100

10143●5

10

AD )

10172118●1512 ³

)

Lg2

1021310●6

102251425501●1/2;1/2

100●2450

100●1/10; 10 (xlogx=100x)

1000000860●6

1000015●0,001; 1000.

100010●13%

10001004018●220

100010010001●9

10001065015●14

100011022●102

1000●(0;9) logx+lg100>0

1001●50

1001●1=0,1,2=100

1001010●2 ½+1/2lga

1001025●131/3

. ( )

1001299210129992●3600

Ordm;

100150●1100

)

( )

1002●500π/3³. ( )

1002●1000³ ( )

1002●1000/3π ³ ( )

100210003●2

100220●25π ² ( )

100202●10

10020100●380

1002010001510000011103510401050●105

100210●0,1

)

100220●60

100220●25π cm²

10023●15; 75; 10

10025●400

1003●101 |(100x)lgx=x³ |

1003●11

10033430537314●5.

100345115●30

1004020●0 |sin100sin40sin20=?|

100420100002●380

1005●=44 (y=1/x, x0=0,5)

1005●24

100523●15,75,10

100528●4.

10055450556512●3.

10058●4

10065●2970.

10081121275●0

.

()

101●y=x+3. (=+1/, 0=1.)

Ln2

101●3π/4

101●40,04 ( 10%,1 )

101●2/3(2√21) |1 ∫ 0 √x+1 dx|

101●n+1√a

Sup2;

101●3/2

1010●(0;1) |{+1=0 ||1=0|

1010●0,1

1010●3π/2 |y=√x+1,x=0,x=1,y=0|

1010●3√1/2

1010●2 y1=0 y=1/x [0 e]

10100●4905

1010●2550.2450

, 2450

10100●90

1010111222...●2

10101112●2

10101260●480√3

10102●0,1; 1000.

, 2)

10110●5

101101●1.

101101101●x(1;+∞)

10110110110●9/10

1011020●5/

1011111212139991000●2

10112101●1;1

1011293●194/17

10112935●1941/60

1011455612●17/11

1012●75 ( ∆)

1012●8

1012●44cm ( )

1012●75 ² { ∆)

1012●5/2π |y=√x+1, y=0, x=1, x=2|

1012●60 ² ( )

10120●10√3/3

(. )

101200●30,40,140

101202●20402

.

1012002●140

1012101299●1;1

)

1012186810●176

101230●60². ( )

101231031●√10√31.

101245●30√2

6,2

10128●32 ( ∆)

1013●120² ( ∆)

1013●2/3π |y=1/x, y=0, x=1, x=3|

101313●12.

10131934535●(5;11)

10133●21,25 |1 ∫ 0 (1+3x)³ dx|

101342553●90.09

101370120●0.

10137012580●0

1014●30%

1014029147●5,7,9,11,13,15,17,19,21,23.

)23,21,19,17,15,13,11,9,7,5

10142●10 1/3. |1 ∫ 0 (1+4)² dx|

)

10143●5

10143●5 |1 ∫ 0 (1+4)³ dx |

10 (AD CD )

10

1015●10,5

. ( )

)

10150●144π ²

10150●144π ² ( )

( )

10151112075●0,1.

10151421●√5/7

101515●1/3; 5/3

10152015514●600 ²

101596713●120

( )

( , )

1016●4,8

m

1016●2,5 (==10, =16, )

( , )

101632●13√3/14

101660160033●280 ²

10166024003●140√3 ²

101710010710001007●z>y>z

1017211●1512²

10172118●144 ² ( )

10172118●1512 ³ ( )

10172120●1680 ³

10172137●33,6³

10172420●1680

, 15

)

102●(5;7)

102●(2;5)

102●(5;7) |√+10+2=|

102●(-1)+=4

102●1/x-5 |f(x)=ln(10,2x|

;15

102●(2;5)

102●(x-1)²+y²=4

X-5

, 12 ()

102●12 ²

102●3

102●π/21 |y=1,y=sinx 0≤x≤π/2|

102●ln2+1/2 |y=1/x, y=0, y=x, x=2|

1020●ln2+1/2 y=1/x, y=0, x=2, x≥0

Lg2

1020●1/2 ln2+1

1020020300●16 %.

( )

102023●5/6km/

102040●10230

102043510●11

Ordm;

102068●900

1021●(2/3;1/3) {|1|=0 2=1

10210●3π/40-πn/2; n*Z

10210● |10²+1=0|

10210110●2550; 2450

Ctg8x

10212●1 |1 ∫ 0 dx/(2x1)²|

102131●11

1021310●6.

10213310●6

102135210225●2,5.

1021523●(5a-b) (2a+3c)

1022●5sin x |10cosx+sin2π/2|

1022●12;8

1022●1 |1 ∫ 0 dx/(2x1)²|

10221219203●200 ²

102222●3

10222304616●9/3

102235●1; √6

102251425501●1/2; 1/2

A

10226●(∞;6)U(6; 5]

1023●4. |√10x²=3/|x|

10231●(∞;5]U(1;2]

10232●7

10233●16π ²

10235●e2

1023513313●1,6

. ( )

Lg4

1024●26. { c

( )

)

Cm.

102425●408 ²

)

102426●90º ( ∆ )

10247●676π

.

102552●Ax²+Bx+C |y10y+25y=5x²|

102552910●15

10256●265

1026●60

1026●I, II (=10²+6 )

10270●42,25π ²

10270●56,25π ² ( )

1027295272●1900 ³

1028●2 %.

103●π /3

103●(-2;5)(-5;2)

103●1; 250

103●π/6 |m→(1;0;√3)|

103●81. (1 5 )

103●4/

103●π/3

1030●(∞;10]U(3;+∞)

1030●200 ².

1030●300 ² ( )

1030●10

10300200010002005125●6

10304502●400 ² ( ∆)

103048●5/sin48º. ( )

10305●10

10305●5√2

103050●60

( )

103056●90

103075●25 ²

10310●1500

10310●1500³ ( 6- )

103103103103●38

103113311●3√3

Ordm;

Ordm; ( )

103206●18,9

103213217●2 1/7.

1032302●4/

103235●14.

103242●=5

103242●5 (=10+ =3²42|

1033●1*1/4

1033●1,25

10336●2079

1034●4

1034●13 |+√103=4|

1034204322●5a³b³ /b-2a

1034875●√3

1035●2√5/3

1035●60; 80

103515580●1

10352520●60 /; 80 /

10353643●0

10364034216●10(b+4)/b

10386●2+3

( )

104●1250

104●1:250

10405010●5

. ( )

10410●2t³+t²+t1

104133●13. |1 ∫ 0 (4x+1)³/3 dx|

104212●48,4

10444●(81;1),(1;81) |{√+√=10, 4√+4√=4|

10445●21²

1045●125√2/3π





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