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