)
40●24
40●140
40●15%
()
40●30
Ordm;
40●8π ( =√, =4, =0.)
40●4 f(x)=e sin4xf(0)
40●π/2+πn,n*Z
Ordm;
40●π/4+πk,k*Z |sin(xπ/4)=0|
40●π/8+π/4n, n*Z |os4x=0|
)
( )
800
Ordm; ( )
40●(60.70)
40●1400;400;1400
40●2,5 %. ( 40 %)
40●3 | ln4 ∫ 0 exdx |
40●55%
Ordm; ( )
40●30
, 40)
, 40)
40●480
40●40;40;100
40●πn,n*Z
40●πR²/9
40●π/4πk;*Z {sin(x+π/4)=0
400008●0,02
400016310021●75
400016481812321●1/20.
4000168●1/8
40003281250412●1/8
; 50
400250●450 ³
400250●450
4002500●450
)
4003250●450
40032503●450³
0,8
4003045●60
40032503●450³
40045●4√2
40047007●0
40048●=12%
400500●423
40050094736●423
0,8
40086005●35
401●y=5x3
4010●43cm²
)
4010●:43
40101010●√15/4 ( ∆ )
40101012●√15/4 ( ∆ )
Cm
500
4011●0,4 |=4, =0, =1, =1|
4012●96² ( )
40122●1/2 |π/4 ∫ 0 (12sin²x)dx |
40125●60/
401253015●60 km/cag
4013715●22,5 /.
40140●1 |ctg40ºtg140º|
. ( )
40152●30
4016●2sin17º cos 33º |cos40sin16|
402●1π/4 | π/4 ∫ 0 tg²x dx |
402●0,5 | π/4 ∫ 0 sin2 xdx|
402●1/2 |π/4 ∫ 0 sin2 xdx|
4020●1/4+1/2cos20º |cos40cos20|
40204020●1/2
Ln3
4022●15
4023●1/4(√3+1) |π/4 ∫ 0 sin(2x+π/3)dx|
,5
4025●4
4025●35%
C ( )
,5
40252●0,5
40252015●65/3
402525840●540cm²
4025360●7200 ³
40253602●7200³
, 5
|
|
|
)
, 5
4032180●4;6
4032180●(4; 6)
, 5 .
, 5.
40327075●80
4037●=22,5/
)
40401030●36
404040●tg α
, 12
Kg
4045221102656●51
B
. ( )
405●√2/2
405●√2/2 |cos(405º)|
( )
4050●√2 cos5º |sin40+sin50|
40508070●2
)
40523265642●3;1
40530●7
40530303●7
406●100
( )
40605260●10
.
406226915382●2
40653265●1,61.
407154●5
4072●700
4075120●700
4075210●700
4080212010●40(3+√7)
.
;571;
;106080
41●1,6 | =4, =1|
41●πk/2,k*Z |cos(4x+π)=1|
41●(πk;π/4πk),(π/4+πn;πn)k,n*Z | {x+y=π/4 tgx+tgy=1 |
41●πn≤<π/4+πn,n*Z | tg(x+π/4)≥1 |
41●(1) π/12+π/2,k*Z
41●(5;3)
41●(∞;+∞)
41●4 2/3 | 4 ∫ 1 √xdx |
41●4 | 4 ∫ 1 √x|
41●8:1
41●2/1
41●8√5cm²
41● |4=+1|
41●π/16+π/4n, n*Z |tg4x=1|
41● √4x=1
41●(1;3;9) (1/9;7/9;49/9)
410●2;5
;5 ( )
410●π/8+π/2, k*Z
410●1. |(x4)√1x=0.|
410●1
4100292●{5;2; 2; 5}
4101402●20
4102●(1;2] |=4√10+√2|
4102●√10√2/2. |4/√10+√2.|
4102●10,816
410212●3
41021240●3
41021240●1 | 4102124=0 |
4102160●(1;3)
4102320●(-∞; 1/4)
410251●5
4102846●(2;4)
410290●{3;1;1;3}
41031●{10;1}
4104●11,698
41040●2
)
4104220256156●2+5/25
410513●4
41060●6 {
41062022●20
410719●145
411●2 | ( lg (4x1)≤1 |
411●6 (4/|1|>1)
4111●2 2/3
4111●2 2/3 |4 ∫ 1 √x(11/x)dx|
4111●1 |(;) {√+√=4 1/√+1/√=1, /|
4111240●(4;5)
Tgx
4113241312●(3; 11;10)
m)
41137112●4+√11
41141287●9
4115●13 1/4
411522567..●12/3+219/20.
411652425●(1; 3]
|
|
|
4117●298 ² ( )
,9
Cm
4118385●1,56
412●(-1)n+12π/3+4πn
412●(1)n 2π/3+4πn,n*Z |sin x/4=1/2|
412●36(4π)²
4120●16π
.
4121●9 |=|4|, [1;2] =1|
4121●arctg(2√3)+πk,k*Z
41210●8=5
412102●1
412118●81/4
412121●2
4121248●60
41213●0,25sin4x√2x+1+3x+C |f(x)=cos4x1/√2x+1+3|
41213322●9,6
412172●2
4122●11 |4 ∫ 1(2x2/√x)dx|
4122●1 {cos4α(1+tg²α)+sin²α
4122●9,1/2
41221●4.
41221632●{1;1}.
4123102●{11;3;4}
4123776211319136●0,25
4124●2;2
4124●[6;1)U[3;5]
64 ( )
4125●12;8 ( (t=4) 12,5)
41250●54√2
4125100●5
41253●3;2
41253●2;3. |4x/1,2=5/x+3|
8
8
.
)
4127●24 m³
412711633422●1/2ab³c²
4128●4²+4
412801725●20π
412853231●(2; 1,5)
4129523911●6.
413●π/24+π/4n;n*Z |tg(4x)=1/√3|
413● f(x)=4, f(x)=5
4131212●3 4/7
41316●4√3
4132●15
4132●18,5 |4 ∫ 1(3x2/√x)dx|
41321●x>1
413202●4/15
4132360●2; 3.
.
413381●{23;1}
4134●87+1
41370●(∞; 1,5)
414●1/√2 (log4x=1/4)
414●1/√2
414●(1; 1/4) (=4 =1/4)
( )
X7
41419655●1
41423●41a5/12
414249232●25
4143●80 (S4,b1=4,g=3)
414320●=3
41442●(0;1)
( )
Km ( , 4; 15)
415●221 |√x+4=15|
415√10+√6/2 √4+√15
X)9
415121012312212●125
4151312●11/8
4151625●1,6
4152321428045●10
41558425●5/2.
Min
416●12 |4 ∫ 1 6√xdx/x|
416●(x2)(x+2)(x²+4)
4160●x=2; x=2.
416019327●7
4161●52 (: (4;1) (6;1)
41621●4;4
41623312●>8/5 {41/6+2+3/3>1/2
416228●(x²+14)(x²+2)
416322418●x+2
416342●4,5
416431645164716●1,5
416840000112●3/4
Frac34;
Frac34;
417●4√17
4172●24 ³
417210139..●211.
7172165200●(∞;1]U[4;∞)
417547401256253●13,9.
4180538126●2,5.
418228144817●²9b²/a²+9b²
41833292●arctg10+; *Z
41854●1
419●1600π ² ( )
4191●600π ²
419105419105●4
12.
42●(0,2){1} f(x)=logx(4x²)
42●6
42●1/2arctgx/2+c
42●2,3,7
Sm
42●70/
Cm
42●12; 9/
42●(1;8)
Cm, 2cm ( )
42●33/8.
DABC)
42●300
42●6/(2+x)² (y=4x/2+x)
42●√11 ( 4 )
|
|
|
42●4
42●4e x/41/2cos2x+C |e x/4+sin2x|
.
42●8e2x {f(x)=4e2x
42●sin 4α |4 sinα*cosα*cos2α|
42●)0;4 )[2;∞) )(∞;2] |y=4x+x²|
42●π {|=4cos2x|
42●√x+2/√x
42●0;4
42●15%
42●15/8
42●180
X)
42●2≤x≤2 |=√4²|
42●2≤x≤2 |y=loga(4x²)|
42●32
42●3π/4
42●6
E
42●sin²α
42●1/2arctg x/2+C |∫dx/4+x²|
420●3;5
420●(2; 4] (x4/x2≤0)
420●(2; 4] |4/2≥0|
420●16
420●16 |√x4√x2=0|
420●(2;3) |log4(x2)<0.|
420●(2;π/2)U(π/2;2) |cos√4x²<0|
420●20n; n*Z
420●32/3 |y=4x², y=0|
420●34 2/15π ( =4², =0)
420●πn; n*Z |4sinx+sin2x=0|
420●0≤x≤1 x/4x²≥0
420●2πn,n*Z |4sin (x/2)=0|
420022●1,02
420320●3
60
4205●F(x)=(4x+2)√4x+2/6+c
420520420520●1
42058●Fx=(4+2)√4+2/6+
421●0;1. |4²+=1|
421●2πn,n*Z |tg (π/4+x/2)=1|
421●π+2π; k*Z |tg (π/4x/2)=1|
421●π+2πk,k*Z |ctg(π/4+x/2)=1|
4210●(0; 5/2)
42102●(∞;1)
42102●[3; 2] |log4(x²+x+10)≤2|
4210220●≤1, ≥2
421043252●2/25d.
4211●1,5
4211●√11
4211●178 (a4)²(a1)(a+1)
421112●0
421130●[3; 1/4]
4211554●(∞;4)U(3;+∞)
Log2 3
4212●7/25
42120●16π √2/3
U(1;2)
42121●a²a+1
Frac12;; 2
42122●83 |4√2=12√2|
421221●5/4
421222●(7;2)
421230●(2; 4)
421230●(∞;2)U(4;∞) |(4+2).(123)>0|
421240●x=2
4212424●(4; 1)
42125●8 |v(t)=42/√t1. [2; 5]|
42126●(8)
421290●1,5
42129322●1.
4213175●1,5
42143●193/43
421505●π/4+π/2; k*Z
421516●34; 65
.
42160● |4²+16=0|
42163●(∞;3)U(3;0]U[4;∞)
421644524●(-1/5; 1) (2/5; 0)
421715●15
42180●>2
422●(2;18)
422●1
422●4
422●4/5. |sin4α, ctg2α=2|
422●(2; 18)
422●[98;2]U(2; 102] |=4√2lg|x2|
422●arctg(1/2)+πn; n*Z
422●(1)k π+4πk,k*Z {sin(x/4)=√2/2
422●(98; 102]
422●(2; 18)
A8
422●1/2e16 (log4(ln2x) x=?)
4220●1.
4220●π/4+π/2k; k*Z
4220●π/2+πn; π/3+2πk |4cos²x2cosx=0|
4220●1+π 4xlg(x²+x+2)=0
422025125●400
4221●=y=z+2π/4
4221●π/2+πn,n*Z
4221●(1)k+1 π/24+πk/4,k*Z
42210●π/8+πn/2,n*Z
4221221222●2x(x+y),
422141312●1; 2,5.
42216●16
|
|
|
4222●(2-b)(2a+b-1)
4222●0,2 |cos4α+sin²αcos²α tgα=2
4222●1.
4222●π/16+πn/2≤x≤3π/16+πn/2,n*z
Y
42220201●++
42221●2a |(4a²2a)/(2a1)|
4222122●x²
422222●8
422222●0 |π/4 ∫ π/2 (cos²2xsin²2x)dx|
4222221220●4.
4222222322111●12
4222223●a(xy)/x+y
42222632●30
42223324●2.
422234●2ln23
422252●1
42226●(5;1);(1;5)
Sm
42230●(1,5;∞) log4 2x/2x3>0
42230●(3/2;∞) |log4 2x/2x3>0|
422320●{3}
422322632●30.
4223288●2
4223415●=4; =1
42234422323●468
42241●1
42242●16.
422423●a=b>c
42244●√1a/1+a
AB BC
42261832●[-2;1]
4228●26
423●1, 9, 17
423●(2;-1)u(2;+∞) {4/x+2>3x
423●4/3 | =4², =3|
.
423●π/3+πk, k*Z | 4sin²x=3|
423●83
423●2sin3α
423●1+√3 {√4+2√3
423●2sinα
423●6ln2423x
423● (=4/23)
4231●(1/23; 1/8] |f(x)=√lg 4x/23x+1|
423103190●5/4
4231162●0; 3
423122●60
423123●90
423132090●90
42318●(36;4) |{√√=4, 2√+3√=18|
4232●2²+6+8/(3+2)2
4232●2x²+6x+8/(3+2x)² { f(x)=4x²/3+2x
42320●2√3 ³
42321●(∞;1)U(2;+∞)
42322●a2
4232221●(2+1)(-1)2
4232222●2/3
4232222●2 |4ctg²α3tgα+sin2α, cosα=√2/2,0<α<π/2|
423223●√2/3.
423223●2
4232233●2a/b15
4232282●en kiwisi f(x)=130
En ylkeni f(x)=14
423232●arctg2+0k; arctg 2/3+0k; k*Z
423232●17/3
4332324252●arctg2+πk;arctg 2/3+ πk,k*Z
423235623924●4
42330●2/√3cm³
42336●(x42x³+3)5(24x³36x²)
4234●4
42340●8; 3 |(+4)²=3+40|
423423●2.
4234422323●468
4235220●a³(5(a-2)
4236●(2x3/4)²+5 7/16
42363233●(-3;33)
4236770●3,5; 5,5
423645●0.6
4237●24
4237●0,5 |y=4/x²,y=3x+7|
42371●24
424●4,5 | =4², =4|
424●x≥2 y=4√2x4
424●(∞;0)U(0;+∞)
424●7 |f(4), f(x)=x²4√x|
X
424●sin²x. |sin4x+cos2xcos4x|
424●(∞; 0)U(0;4)U(4; +∞)
4240●[0;2)U(2;4]
4241●(∞;1/2] |f(x)=4x²4x1|
4241●4
K
42410●π/3+2πk, k*Z |4sin²x4cosx1=0|
)
4242●32. |4 2+log42|
4242●64x³-1
42420●=2
42421●3
42421●3 (cn),c4=24,q=2. 1)
424212●π/12+πk<x<5π/12+πk
424214●arccos1/4+(2n1)π; n*Z
424222●π/8+π/2n, n*Z |sin42x+cos42x=sin2xcos2x|
N
424223●8
8
424242162●b2a/4(b+2a)
42424●17/16
4243●[0;2]
424327515636●9
4243543●1/3.
4244●[0;21] |√42=4√4|
4244●1;3. |4arctg(x²4x+4)=π|
424424●1/2√x+2/x√x
424488412●2.
4245●4π
4245125●(2+1/5)²
4245252●0
4245326445512●6; 1/4 6; 1/4
4246961●3
4247002659001●710
3)
425●12π ²
Log25
425●8cm/sek
42503●6
4251●=5; =4.
425191554350835●6
4252●5 |+4/√2=√5+2|
4252●(x²5y)(x²+5y)
425239525212183●16
4252526●5
425291224●1;9
|
|
|
425402●13/15
42542145●3/y²
425560●1
425616●q=4/5.
4256165●20
425620●arctg2+πn,n*Z;arctg 3/4+πn,*Z
425638133●128
42565●cos40
4256540●2.
. ()
4259215●0;4
426●10
426●3/4 {f(x)= 4x²6x
426●(4;4)
4260●2√3
Ordm;
426222242=cos8α
426222242=cos α
4264●100
4265●4tgx+x6+C f(x)=4/cos²x+6x5|
4267●=3/4
4269●x=3/4 min |f(x)=4x²+6x9|
Kg
4269223924283273●1
)
427●(1;5);(2;3) |{=4 2+=7|
42702●1;15
427164●1;2
427164●(∞;0)U(1/2;3)
427116●1;2
4272●(x+2)(4x-1)
42730●1;3/4
427301●6
427327028●0,6
428●9 |4/2+√=8|
42812518●55
4282●49
4282●1,4.
4284●4(x1)²
42865816S16●1488
M
4292102172●12cm³
429212233●(1 3/4;1/6)
429233230●[3;2)U(1; 0)U(0; 1)
42974117●(1;10);(10;1).
43●1/2. {cosα, α=4π/3.
43●1 ½ {x+y=4,y=3x
43●1.2
43●12, 4² (MBKD, )
43●2 lg(x+4)=lgx+lg3
2 ( )
)
( )
Cm
43●10π
Dm
( )
43●6
43●6 (=4,=3x)
)
43●64sm³ ( )
. ( )
43●1265
Cos3x
43●2 |x+y=4, y=3x|
43●32 . ( )
43●3sinx-4cosx+C
S(4x-3)dx
. ( )
43●1/2
43●4/3cos3x+C
43● , (= 4/3 )
)
430●8π ³ ( )
430●(3;4] | x4/x3≤0 |
430●2
8
)
4305●10
)
431● a≠3, x=3/3a; a=3
|4+=3+1|
431●(1;9),(9;1)
431●8;3
431●(∞;3/4] (|x4|≥3x+1)
4311●8;3 (S=4(3n1), b1)
4312●(-1)n π/24+π/12+π/4n,n*Z |sin(4xπ/3)=1/2|
4312●(-∞;∞)
)
)
4312313●4
43123412●5
4312548●24,
4313●12
431324●6
4314●2 3/8
43143316●(-2; +∞)
43182219●4.
432●4:5
432●√11 ( 4 )
432●1 | f(x)=tg(axπ/4),π/3. f(π/2) |
432●64
X
432●1;2
432●1/5ax5+1/4bx4+1/3cx3+1/2kx2+dx+C
432●4³2/3³√
432●1/6
432● : =0;=3; : =2
4320●x=8
432022520●(1;2]
432064●{4;3;2}
4321●=2
4321245●1/10
432132721239●²1/3.
432151512●0,2.
4322●(23a2b)(2+3a+2b).
432212●x=7π/6+πn, =π/6+πn
432212734132●1
4322154●[1;1√2]U[1+√2;3)
4322154●[1;1√2 ]U[1+√2;3] |4≤3x²2x15≤4.|
43228672●14/17 ( ∆)
4323●y=2x-1; y=0.4 x+2.2
432403●106
4324●1;4 |4/(3)=24|
43242●1
43242●(0;1] U [2;3)
43242●=1.
43245●12x²+8x³-5x
4325●6²
4325●(1;4)
4325●(x1)²+(y1)²=2
432523●1;3
4325373120●0.
.
4328275●15
4328653●4,55.
433●3π ³
4331●π/4+3/2kπ
43310●1/3√2
433135●7
433165●32,5/
4332●1; 0; 2
A
433232●(∞;3)U(2;∞)
4332320●(-∞;-1]U{1}U[2;+∞)
4333●3π ³ ( )
B5
4334●(1;7)
433418735816●(9;8)
43353173260●0
433602●240√3³ ( )
43360333633633333●3
43362310●2+√5
434●16(√22)
434●1
434●1/10
434●x44cosx+C |4x³+4sinx|
434●1/6(√22) |π ∫ π/4 cos(3xπ/4)dx|
434●79/128
4341013●(-72/5; 0)
4342●2πn,n*Z
434235●210
434236●b4/a3
4342432● 4;1; 1; 4.
4343●x²8x+13=0. |4√3 u 4+√3|
43431●π/8+πn/2,n*Z
434312●7
43432●[5;∞)
4343589090●0
4344●16,16/3
4344634●3/2.
4345●4√5π
Ordm;
435●0 (=4;z=3, 5)
43512741714351720314●0,2
4352●7
43520●7 | cos(π/4+α), cosα=3/5;π/2<a<0 |
43520●7√2/10
435217115016●1
4353715216512●0,6
435375●4. |tg 435º+tg 375º|
