52●216
52●5x -1√x
52●5/2 {=5xlnx²
52●5x41/√x |f(x)=x52√x|
52●52
)
52● (y=5x+2)
52●5x4-1/√x
52●d=10;5,15,25
52●sin2a/2cos3a
52●max=2/5
52●a5d/c | a=5√c√b/d²|
520●200 | 520|
520●(0;5) |5xx²>0|
520●(0; 1/5)
520●0; 1/5
520●502
520●5+02+→x | x(x+5)(x2)≤0 |
520● 3/
520●√45(0)
520●6 (5x)(x+2)>0
52004●π+2πn, n*Z
52004326217717031506351316●1000
5202012●3 /.
5202042●3 km/s
520221802204324230●(4; 1)
52022232210212●1/2
52028●[5+√105/2;8]
52032●2.
5204326●90
52040705102357●9
52043262177173156351316●100
5204326217717●100
52045●0 √+5+√20=√45
52053●2
521●10 2/3 |y=5x²,y=1|
521●(√5; 2)
5210●4
5210●5t+3
52101●(∞;5)U(1;1)U(1;+∞)
521022●(x2)(5axy1)
521052●+b/3(b)
521052152152●a+b/3(ab)
5210525●15
521062860●a1=4; d=2
5211●x>0,5
52112●9
52112●(∞;2)U(2;∞)
( )
521205210225●(2,5; 13)
521234205●2
52136280●2/5
5214●470
520●6 {(5)(+2)>0
5212548●10
5215●5a/(a1).
52154●(0; +∞) |52x+1>5x+4|
52155●12/5
52159510●13.
52159510●26;13. |log5√2x1+log5√x9=log510|
5216●1; 1/5
52112●(∞;2)U(2;∞) {5/2+x<1+1/x2
52180●0;3,6
52180●0/3.6
5219●1/243
522●√65/√5
522●√5/√13+√8; √13√5/√13+√8 |√5 2√2|
522●[3;5]
522●log25. |√52=2|
522●x>2 |=log5(x+2)/2x|
522●[3;5]
522●5
522●sin3α
522●x>2 {y=log5(x+2)/2x
Log 5
, )
5220●(0;5/2)
5221●[1;+∞)
52210●x=π/8+kπ/2,k*Z
52211452●2
5221500●1
52217●7
52217●7 | 5√2sin(π/2arctg(1/7)) |
Ordm;
5222●y=√x2/5
A3
52222202●2.
522225●(0;5),(3;4),(-3;4)
5222333●9/2
52225●1;1
|
|
|
5223●x=2,2 |(5)²²=3|
52231●[4;3)U(1;2] | log5(x²+2x3)≤1 |
52231●(∞;2);(4;∞) | log5(x²2x3)>1 |
52231●(∞;2]U[4;∞)
52232●x≤2, x≥0
(5;-2) (5;6) (-1;-4)
52234●(9;4)
52235●5/3x³1/2x4+5x+C
522400●2
5224440●4
5224440●4 |5x²+y²+4xy4x+4=0|
5225●3 {|5|=2(25)
5225●4. ( )
o )
ED)
5225●88 ( D )
522515022●24
52252●1;1
5225321125●10
52253526125●3
5226● (5/2>2/6)
522722222●10(a²+b²)
523●π/3,*z
523●π/3
523●5/3tg3x+
523●[7;7]
523●1 1/3
523●/3n, nZ; /4(4m+1), mZ
523●126 |a=5/2b c=3b e?|
523●2π/3n,n*Z,πk,k*Z
5231●0
523125●14.
5231323127●[-1; 1]
5231511●2/3
52321;1/√5; 1/√5; 1
5232●8
52320●2/5;-2/3
52320● |5²3+2=0|
523222●6
5232218●(4;3]
523222252232●4.
523222252232111●6
52323●(∞;3]
545
52323●5y45y
52323●8 |52x|+|x+3|=23x
523232●b²+9
5232312●π/2
523232●b²+9 |5b²+(32b)(3+2b)|
5232511112126●2
52326●4√3
523312●10cosx/2-e3x-1/2+c
523321●(19/13;+∞)
52335435●[-2;1]
52342●0,508.
52342160●(0; 4).
52342195●2
52342234●3/4
5235●3;6
52351●>1.
52351335●63/65
52352●2
)
5236090●6
524●(3;3)
524●(∞;9] { |+5|≥24
524●(∞;1/3)
524●12.
524●πn; π/6+πk/3;k*z |cosx sin5x=cos2x sin4x|
524018●x/73x
5241●96
5242●(0;4)
B
524255●2
5243●x45 ctgx+C |f(x)=5/sin²x+4x³|
5243●x 1/4 |5√x24√x3|
5243●9
524313●121 181/16
524430●x (0;5)
524430●(∞;0)U(5;+∞)
5245●7
52450●(3;3) |5²+45>0|
5246200428●7
Ordm;
525●(1b)(b+5) |(b+5)²b(b+5)|
525●1/1-√5
525●a1=3;d=4
525●5(b+5)
525●4x15
525●4/3
5252●50
5252●1/3sin3x+C.
5252●50. |52+log52|
52521125●10.
525221125●10
525365431027●2,8
525425●2 1/2
5254565200428●7.
52551554918612●3
X
5355214●=√/ 4√5b²
52552210252250●15
5255331729●(13/5;4/5)
525588●14700
|
|
|
52561●{7}
525735●65
5259410562●19 /.
526●√2+√3
526●√3+√2 |√5+2√6|
526●sin2α/2cos3α |cosαcos5α/2sin6α|
526●6;3;2;1. |5x+x²|=6
526●2πn,n*Z | 5+cos2x=6cosx |
5260402●0
526125021●2,5
526210●π/3+2πn,n*Z
526314222121●2x1
52632321●0
5264302●{14;35}
5265●3
527●5/2+5/4sin2x+7x²/2+C
527●[1; 6]
5270●x=7. |(5)(+2)√7=0.|
5270●5;2;7;
5273●10 ( ∆)
)
5274512575●3
.
5280●120
52822●0.
52822●2;0,4 |5²+8/2=2|
)
52840●30
52920●(2;1/5)
529213010●(∞;2];[0,2;∞)
5292531●(∞;2)
52925311●(8;2)
52945●1.
53●=16 ( )
53●(∞;4] {y=xex,[a5;+3]
53●4, 1/11
53●5/2x²+3x+c
53●5n+3
53●1=2 2=8
53●{5;3;1}
53●3sin(53x) |y(x)=cos(53x)|
53●ex15x²
E
53●152
53●5e5x (f(x)=e5x+3)
53●2π/15+πn; n*z (tg(x+π/5=√3)
53●3π
53●5/22+3+.
53●6π ³
53●8
53●8 | 5 ∫ 3 dx|
53●1=2; 2=8
53● |√+5=3|
53● |=√5√3|
53●5n+3 ( )
53●5n+3
53●6 ³
53●60 ³
53●=2 =8
53●10;11;12;13;14;2;1;0;1;2
53●ex15x² | f(x)=ex5x³ |
53005●15,75
53010●60
53045●1,5 |5sin30ºctg45º|
530510310●a+1/a
531●5x4/45x+C | f(x)=5(x³1) |
5310●8
53106106101210●1/4
5312●16 (5sinx3cosy12cosx)
53210155●2b3c/a2
531125●x=10
5312035●75
53125●x=10
531211632●x<7/5
5312125●1/3
53125●5
53125131●(6;6),(0;0) {5|+3|=125 13|+|=1
531513●5
5315251624●4
5318329●x=1
53190●30
532●[3;5] |5x|+|x3|=2
532●60
)
532●=10 ( )
)
53200●4
53203●5/4x4+x²+3
5321015155●2²d/c³b³
53210155●2b³c/a²
5321046791●4679
53214321●x+1
53215521815●0;1
532155218152●0;1
)
53222●3.
532222●3. {53(2(2(2))=2
53222247216265226559592●23.
53223●37.
532222472162..●23
53223 ●37
5322323●8/5
5322381162●8/3
53230●π/8(2n+1), nεz, π/3, *z
53230●0 |5x√x3+x²√x3=0|
53230●5/4x4+x²+3
532314●2√14
5323241223●7/23
532358323312233622●2.
5324●524 | ((5³))2)4) |
5324233242●8.4
532432●1/3
532493521●1 2/3
53253●(1 1/4; 3)
533●0 y=5cos3x x=π/3
5331282●n=29
5331282522●,n=29.
; 12 .
533258●(3; 1/3) |5 33x²>5 8x|
53332●³√4+³√2+1
|
|
|
53335●(2;3),(3;2) {+=5 ³+³=35
5335●1/2cos2x+C u(x)=sin5xcos3xsin3xcos5x
5335153774912●7
53352●1.
53353●(2;3),(3;2)
533727●90 2/7.
53379425●(¥;4).
534●x>4/3
2
2
5345321537286●59
.
5347342900●a²√ab
Y.
53486●b1=6, S5=726
5350●1
53505247552=1
( )
53512●[1;1/5] {53/5+1≥2
53514●(-∞;-17/19)
535180●1.
535223●2/(c²+3c)
5352536101●2a+b1
5353●cos2x {sin5x sin3x+cos5x cos3x
5353●ctgα {sin5α+sin3α/cos5αcos3α
5353●tg α {sin5αsin3α/cos5α+cos3α
5353●x²10x+22=0
53531●x=π/4+kπ/3,k*Z
5353019●1/5.
535332●(-1)+1 π/6+π/2,k*Z
X2
A
5353860●√2
535435352132531516●2
5355214 ●y=a√a/4√5b²
536223●5x4+8x3+8x/12+C
53657217=119/3
536601●10√3²
537●(21;16)
53712●3
5376122...●5/3;17/12;7/6;2/3;1/2
538●[3; ∞)
53821●(-∞;-6]
( )
539270●8 f(x)=5x3+9x27,x=0
539270●3
54●²+²+108+25=0 ( (5;4) )
)
54●(15)
54●1 1/4-x/4
54●24√6
54●100; 80
)
54●y=1 ¼x/4 ( )
54●10√x4 cosx+C | f(x)=5/√x+4sinx |
)
54●12π; 54=15π
( )
)
Cm
54●36π c2
54●36√3
Ordm;
54●81√3² ( )
54●9 {54=,
()
V )
54●40
)
54●=4/5 (v=5+4 )
54●π/3(2n+1)
N
54●π/5n / n*Z
54●π/5,*z {cos5x cosx=cos4x
54●π/2(4n+1),n*Z
54●(∞; log54] |5x≤4|
,2-100
540●9 |log(x5)/4=0|
( 40 )
540●πn/5,n*Z
,100
100
5402484231205049217●38,4
M; 100m
.
; 100
; 100 ..
541●(+1)(1)2(2+1)
54114591●1000
54118191110193●7
541255●2
5413●2,6;0,2
514381●0 | log5 log4 log 381|
5414●0,5√4x+x5+C | f(x)=5x4+1/√4x |
5414622●√k+1
54162564125●3
542●x5+4√x+C |f(x)=5x4+2/√x|
54221●/6+n;n*Z;1/2arccos(-3/5)+k,k*Z
54223323●√3; 1;√3
54228232422●8a²b²9ab²+7ab
( )
54230832●1
5423221●(x+1)²(x-1)³
542322330●√3; 1; √3
54240●1/4(arctg 2/5)+kπ/4,k*Z
54241●(10; 5)
54252●3
542522●2
|
|
|
5425616●20
5425910256●19 /.
54271121●√274
)
5428●12/
5428252●12
543●D(y)=(3/4;+∞)
543●0
543●(-3/4;∞)
543●π/4
5430●10
Kg
5431●2
5432●10 {A(5;4) B(3;2).
5432●53+
( )
543212345●3.
5432777●0;1.
543320251●58
543320251121●58.
5433254332436●1/³√a²b
543532516●1
54354●1
2
54363●30π ²
5437●(9; 4);(4; 9)
54381●0
544● |5/4:4√|
544●4³-3²-4/²
544● , .
5440●3940
5440●8,8 (y=5x4 40)
5441●(81; 16)
54412●3²+8+2/3
5445●16b²25
54454165●1
4
5442 ●1/2.
545●25π50√2/8cm²
54520● √+5+√45=√20
54520● √5+√45=√20
54532512●+b/2
5454●5/3 |√x+5/x+4√x/x+5=4|
5454●2sinα |sin5αcos4αcos5αsin4α+sinα|
Sin9
5454●2 2/3 |sin5αcos4αcos5αsin4α+sinα|
54540●π/2+πn; n*Z |sin5xsin4x+cos5xcos4x=0|
54540●[4/5; 5/4) |54/54≥0|
54540●(1;7),(0;8),(5;2),(1;5)
5456●5/3
5460●13
5460●MA=3√3c, V=12√3 ³
54602530●2
.
54630●π/2(2n+1),n*Z; π/4(2+1),k*Z;
|sin5x sin4x+cos6x cos3x=0|
54630●π/4+πn/2; π/2+πn;n*Z
546362550●1;1;√5;√5
5465221●2
5470●62
54750●200, 250, 300.
5476●4x4√x6x6√x+c
5480●20 ( 5%, 4%,80)
54802●1
54812●6 2/3.
548625●8/3
548802797877..●13,12
549●2:3
5495247●(2; 2)
54974●3
55●(0;10) |5|<5
55●(5;∞)
55●(5;0) (5/<x/x+5)
55●1/√y |(5+√y)/(5√y+y)|
55●1/xln5+5xln5 |y(x)=log5x+5x|
55●1+1/2√x y(x)=(5+√x)(√x5)
55●27
55●31
55●5x1/5sinx+c (f(x)=5cos5x)
55●a)x1=5,x2=5;)xmin=x1,xmax=x2
55●tg3α |sinα+sin5α/cosα+cos5α|
55●27,6
55●5(b+5)
55●5e5a/e5a+1 |ln(5x)=lnx5a|
55●b²25a² {(5a+b)(b5a)
55●1/25. |√logx√5x=logx5|
55●x*Jok |x+5|=x5
55●62 30 117 30
55●cos4β
55●a)5;5 ) )(∞;0),(0;∞) (=5//5)
55●b/5
55●cos4β |cos5β cosβ +sin5β sinβ|
55●m+n/5
55●5xln55/x |y(x)=5x5lnx|
55●5/x1/xln5 (f(x)=5lnxlog5x)
55●(xy)(x4+x³y+x²y²+xy³+y³)
5502●5x+1
550225550●2,5
551105●1
5512●(1)+1π/24+π/4k, k*Z |sin5xcosxcos5xsinx=1/2|
55120●2
55125●3
5512521●1.
55151358●3.
551525●3
552●14 |(;) {xy=5 √x+√y=5, x2y|
5520●11 (55 20%)
X
5525●{√5; 25} |log5x+logx5=2,5|
5525●(√3;25]
U(0;1)
553●(2;7);(7;2)
5530105●2√6
553100016●18.
55310001●18
553311●x≤3 | 5x5x3/3≤11 |
5534●48 |(;), {=5, √+√=5, 3+4|
5535●3(a5b)(2a+b)
X
554125●2.
554228●24,9 /.
55424220●135
554252●1,25.
55432●3
554532●0;1;3.
555●(0;2) {|55|<5
555●20
5550●0 f(x)=e5x+e5x/5 f(1)
5552●3
555275●5
5554●25
5555●(m/n)m+n
|
|
|
55551●5ln(x5)+cos(5x1)+C
55551213●1
55555549●5
55565●(√6+√2)/4
55565●√6+√2/16. |cos5ºcos55ºcos65º|
5562●1/5rs(2/5)+π/30+2π/5,εz
5569●36cm³
5591135●3.
56●(4;9), (9;4) |{√x+√y=5 √xy=6|
( )
56●(∞; 0) U [2; 3] |√=56/|
56●60π ² ( )
( )
56●√43
56●48³ ( )
C; 10c
56●sin2α/cos3α
)
560●7.5cm²
)
560614●[3;6)
160
( )
56101 ●60
Cm
N
561208●1,8
561312910●1,9.
561452312●0,7.
Mn.
5616●5 1/6
;54
561829●18
562●(∞;0)U[2;3] {56/≥2
5621451561125134512059●5/6.
5621756217●2
56218●[5;3)
562213●(3;2);(3;2);(2;3);(2;3).
56225●(3;-2)(3;2)
5623●5/6 |log(5x6)=log2+3|
8 .
56236●10
5625●14 |56 25% |
5625●1/5arccos(2/5)+π/30+2π/5k,k*Z
56252●(3;2),(3;2)
56290●{3;2} |(√56)(²9)=0|
56290●2;3
563132121●x<7/5
56374354●3
563743541935●3
( )
5642●8x6/56x+4x²
565●16²
565●4,5
565●16 ( ∆)
5651●0;1.
565223●3;1
565223●(3;1)
565223●{3; 1} |log5 6=log5(x²+2x+3)|
56551021●0; 2
Cosx
5656●f(x)=cosx
565656●8
566●96 ²
5660●6√3cm² ( )
5660●7,5 ² ( ∆ )
5660●10√3 ²
5660●10√3 ( ∆)
5660●18
5660614●[3; 6)
566134121●<7/5 {5/66-1/3+41/2<1
567●211
567●35√6/24.
3-4 )
567302156●1/5.
56754●728/27; 364/27
( )
568●35√2cm² ( )
568●7.
568●352 c²
5684186435●235,4.
569●10√2 ²
57●2+2+10-14-7=0
57●[12;+∞]
57●[7;+∞) {=|+5|+7
)
57●1
57●34
57●17, 19, 21
57●5(5+√221)
7)
8 ( )
)
57●7/5π
57●83
57●√84/√5+√7; √60/√5+√7
571131911●1 3/11
Ordm;
5712●90 ( ∆)
572●257-2xln5
ABC)
572128247135088043●3.
5725●√5; 2,5; √7.
57257552●1
573119●5√34/34
573275128●(2;1), (-2; -1)
57452844217145●3 5/6
5749125●1,5
5750750●0,05
5763415●125/78.
57636075●11,31
575075001●0,05
5763415●125/78
D(x;)
5780●(-14;8)
5780●(-1.4;8)
5782335●3,4x+11,5y
Cm
5795●1230
58●5 cosx+8x+C |f(x)=5sin x+8|
()
580161●Ǿ
581752●468²
581752●448² ( )
O
58113●(75 j/e 57)
(90; 75)
)
581752●448².
582334●12
582375●24,16,18.
58316332●9
5834●6/5
5841556●2*77/96
7
585●1
585●1. |tg(585º).|
585●6 11
585●=3,5; =5 .
585012●5280 ²
58522●250² ( )
585525●15
587●m>1\5
58781231●d=1,2, a1=3,9.
587812●d=1.6; a=3.9
589183727●290,5.
589183●290,5
4,5
59●25√31cm³ ( )
591127●4,7 |5=9,1; 12=7|
5911355●3
591252●16√26 ²
591334●5/4
5913515●3
592●25a2n-90nm+812m.
592920●100
)
5940●11
595959●√3
5971523●16/45
599389222●√3;3
ABCD)
6●10,15
6●216²
Ordm;
6●1
6●18cm² ( 6, )
6●18 (c ABBC)
6●9 π
6)
6●36
)
6●300π 200√3/3π% ( % )
)
6●9√3π ³
6●9√3 cm³
6●9π cm³
6●6 sinx+C |f(x)=6cosx|
6●9π ² ( ∆)
6●=4 |=+√6|
6●√6/6(a³-b³)
6●1/2 |sin(arcsin(sin π/6)|
6●42
.
