)
4360●17/25
4360240●2
4360240●√13
436624●1,5
43663431●3
437●{4;-3;7}
43702●30cm² ( ∆ )
43712●4/3ln(3x7)+√x+
43712●2;1;4;5
43712●Ø |43(+7)>12+x|
43730373015 ●1/2
437437●12
438●32√3 (S ∆)
438151516●5
4382388●2
4384521151389336502618513738515●9
44●x1=4,x2=4;1=xmax,x2=xmin
44●√2 |π/4 ∫ π/4 cos xdx|
44●39:17
44●arccos 1/3+2πn, n*Z
44●0
44●π/2
44●a)-4,4; )(-∞;0)(0;∞); ) (=/44/
) ) ) )
44●(-4;-4)
44●[0; ∞) |=|44|
44●[-1;1]
44●1
44●sinx+cosx (sin4xcos4x/sinxcosx)
44●cos2α. {cos4αsin4α
44●cos2α
44●x≠4
44●π {y=sin4x-cos4x
44●π/4+πn, n*Z | sin4x+cos4x=sinxcosx |
44●(ab)(a+b)(a²+b²)
440●π/4+π/2n,n*Z
440●4k²+4k+1=0 |4y+4y+y=0|
4401●1/5x5+1/4e4x+3/4
441●π/2 |sin4x+cos4x=1|
N,
441102310●6(3/10)y+4(1/10)
4412●1
4412● (sin4x/4=1/2)
44122●π/4+πn,n*Z
441222●πn/2,n*Z
44123●[16; +∞) |log4x+log4(x12)≥3|
441316●(64; 16)
a b)
44154●1
44154●2 |{4√4√=1, √+√=5, 4√|
441717●153
4418280●2;√2/2;√2/2;2
442●x≠0 {y=sin4x/4x2x
442●h(x)=4x(x²2)+1
442●cos²x |cos4xsin4x+sin²x=?|
4421●{4.}
44212●7/25. |cos4αcos4α,tg α/2=1/2|
4422●2
4422●(2+b2)(-b)/b {a4b4/a2b+ab2
44222●1
44222●1 |sin4α+cos4α+2sin²α*cos²α|
442223●2
44226●38
44227●51.
4423●8cos4α |cos4α+4cos2α+3|
442322●5
442325●1.8d+1.25
44242●2 2/3 | =44+², =4²|
44273●3.
442811●90?.
44281321●1=6; d=3
44292●25 cm²
443●16, 16/3
443●2 |f(x)=sin4x*cos 4x, f(π/4)|
)
443●53
443●-4+
.
44320●π/12+πn; n*Z |cos4xcos4x+√3/2=0|
443221●4/3x1.
443222●²()/²
44332●1; 0; 2
4433222●4+4/3(+b)
44361●189
|
|
|
44381●189
444●0
N
444●πn/2, n*Z
444●kπ/2 |sin4xcos4x=cos4x|
444●72² ( )
444121212811●4/5
4444●0 |sin(π/4a)sin(π/4+a)cos(π/4+a)cos(π/4a)|
4444●mn
444422●2x+1
4444313●8;8
444444●(4)6
4448●41 |{4√++4√=4 √+√=8|
4448●2 4+a/a 4+a/ 4+/a
4448801725●20π
445●(∞;0,8) f(x)=log4(45x)
445●32 cm³
445●2√2 ( ∆)
4455●4/9 |4/455|
445566●+b+c
4456060345●√2/2
44626●(625; 1),(1; 625)
4463●2
4472●(+2) (4-1)
44737●4
4475●75 (znamenatel 44/75)
448212●0;28
44846●10, 12, 16, 20
44881616248●a²
.
45●1 | y, {exy=4 x+lny=ln5 |
)
45●54² ( ∆)
45●4; √41 (CD, AC)
45●76. ( )
45●0. |lg tg 45º|
45●10π
45●cosx1/xln4 f(x)=sinxlog4x+5
Cm
45●3√3a²
45●54² ( ∆)
45●20;10
Ordm;
Ordm;)
45●1/√2=√2/2=cos 45 |sin45|
45●1=ctg45 | tg45 |
45●12;15
45●a1/a+1 | tg(45+α)=α, tgα |
45●0,5 a2√2 ( )
45●22?30' 67?30'
45●20/ ( )
)
2
45●3 2√3
45●S=1/4(a+b)²
45●1/+1 tg(45+α)=α,tgα
450150●2500
4502●3/4 {cosα=4/5, 0<a<π
4502●0,75 {tga cosα=4/5 0<α<π/2
45029●1080π ³ ( )
.
Cos34a
)
45075●60/
4507515●60/
4509●5
45120●6
451●√20(6)
451●5 aab=b4 bab=a5b a, b≠1 ab
45110●(1;3)U(3;5) {4x/x-5+1/x1>0
4502●3/4 {osα=4/5,0<a<π/2
45120●6 |√45√x1=√20|
451216●640³
45123●3;2
4512367523112●1.
45124223●2 11/12.
4513●2.
4513●2 ( )
)
4513215●15
4513530●15
4515●√3+1/4 |sin45 cos15|
451515●tg 15º {cos(β+45)-cosβcos15/sinβcos15
)
4516●10√2
451689●(7;17)
45180270●1 1/3
45180270●4/3 |tgα,sinα=4/5; 180<α<270|
4519●²+²8+10+16=0 ( )
452●20 |+=4 ab=5, a²bc+caab?|
452●8√x+5tg+C
452●7/24
452●3/5 |cosα, sinα=4/5, π/2<α<π|
452●8√x+5tgx+C |f(x)=4/√x+5/cos²x|
|
|
|
4520●3 |(x+4)(x+5)²/x<0|
4520●3 |(+4)(+5)²/>0|
4520●3/5
4520● √+√45=√20
4521●(1; 1). |y=f(x),0x 45º, f(x)=√2x1|
4521352●2 tgα
4.
4522●16/3
4522●16√2
4522●2,3/ ( )
452225●√5;√5
45224●2√2 ²
)
)
45232●5x/2(x+2)
4523831●5
45240●1; 2
45246424127●n=7
4525225●√5;√5
4526●15.
4527●1:600 000.
453●5 √4√5+=3
)
453●√20(8)
)
4530●13,5 (45 30%)
4532●0≤x≤5
45320●8 √45+√3=√20
45320●8 {√45√3=√20
45320● |√45+√3=√20.|
45320● |√45+√3=√20 |
45320● |√45+√+3=√20.|
453233●a²-b²/3
9.
4536●72² ( )
453611513●0,5
45361960●0,8
45422212●10
4543●6π
45443316932●16
Ordm;
454523●1/18
45454545●tgα
45456●12
455●√20(10)
455●75√3 ²
)
4550018●200
4551471356●2*1/2
455162●122
45520●10
.
)
455565●√6+√2/4
45579694234715356●2/3
45582●√73.
C
; 18 .
456●20 ³
456●20 cm²
456●36√6
456●9; 5
Cm
5
)
456●120
.
4560●90º ( , 3 )
4560362●9√6 ²
45620●10; 5/8 10; 5/8
4562104●188
45630●8 ( ∆)
456456●tg5α
; 122,6
4568●42
4568●2 |<A=45, BD D=6, DC=8 |
456838●38
4570●(∞;4]U[5;7)
Ordm; ( )
)
457239914●=1
458●5/2 (x/4=5/8)
45812951936315116193551453431951●5,08
4582●9
4582181113●4*7/16.
4586●56
4587●93º ( ∆)
4587●42º ( ∆)
459●40√10
4590●3105
459341291●0.6
)
)
46●12/7
46●15π ²
.
46●2.
46●6
46●(15π)
46●33, 4/3 14/3
46●3/5 2/5.
46●4(√3+2√21)
Cm 12cm
46●a3/2 3/4
)
)
460●2
460●24
460●3√3c² ( 4)
460●8√3/3π
)
460●O:8
4600001●0,2
46050753●24
4612●1+√3 | π/4 ∫ π/6 1/sin²x dx |
4613●16 | xy=4 zt=6 x+y=13} x+y+z+t |
0,21
4620●13
4622●770 ( 462 (t=2)
462369●8.
46252132324●4x16/9y18
|
|
|
46254625●2
46258124161353●1/3
.
4630●12² ( )
4630●12( )
46336322632231●9
46422121216.. ●a+1/a-1
46432550●11
4645●10² ( )
46462369●8
465●3.
46556●61
. ( MN)
4660●16π
4660●24π√3+12π
466284●168
467●48cm³
)
46891218●2
469284●168.
E4-7x
ln7
471●3 |√47+1=|
4701●√13
4710116●25
4711●44(4x+7)10
Ordm;. ()
47122102310●10
47124312●(-3; 0)
4713●7/12
Cm. ( )
)
47172●68
471962●64² ( ∆ )
472●0,5x8+4√x+C |f(x)=4x7+2/√x|
4721●{2; 3}
4721●2.
4721●1;2
47212●2 |f(x)=4x+7/2x1 =2|
47212●(1; 4)
47286●20.8
Cm.
4730●43
473073075●1/2.
9
474●9
47492216●1
474951●240² ( ∆)
474952●240²
47547401256253●13,9
47571233457025●7.
476●24(4+7)7
Ordm;.
( )
477●x=7, x=3
4773●cos13º |cos47º+cos73º|
47743●(17;∞)
47743●(∞;17) {+4/7+7/4>3
5
48●q=3 ()
48●(2,3)
48●128√2/3 ³ ( )
48●36π ².( )
48●40.
48●96 ² ( )
48●2/2
48●16 ( 1 5 )
)
)
48●1.
48●8√2 (CD?)
( )
48●=2, b=6, =10 ( a,b,c)
4 80 )
48035●180; 300.
C )
Cm
48116416812●5/3
481164168125235●5/3.
48121622419●1064
C.
48144●b1=2;q=3. (1 )
4815121●3.
481636●82/7
( )
2 )
482●√2/2 ( )
48212●8
48216216●√2
482358●9,6: 4,6.
4824●arcsin 1/3
48240●8;12
48240264●24
4826●xmin=2, xmax=0
, 13,5
483045●64
4832●8
4832180●(4;6)]
48336●4
,16,20.
4836●25 %. ( %)
4840010●40000.
48410●[-2;1)U[2;4)
16
( )
484848●2
485●6,25π ² ( )
48512●511/512
48543●36
( )
4872●14 /
488060●16,12,20
488060●20,16,12
|
|
|
4890●41, 1/5
489034●41*1/5
49●24,5; 24,5
, 6 ( )
)
. )
49●846 (an=4n+9)
49●17.6
49●2;3
)
M ()
49016●2,8;2,8
)
4909●√10
, 5
491●5.4
49105●7/15
49111740●0
49117●2/3
49123160●1
4912344727●3
4912347●3
49139432●1/4
( )
( )
; 18
4917254●9,8.
( )
49220●(2 1/3; 4 1/2) |log4 92x/x+2<0|
4922523●5²
4923170●2; 1,5
4923170●{2; 3/2}
492344727●3
4924191●1/2
4924191217212●1/2
.
494●15
4941●(log49y)1
495●55
; 18
4952446●36*25/72
495362●2,75.
49640●2400
497164●(2;∞)
4975101286436●24
4977●343+√/49-
499654●9 44x+C. |f(x) = sin4x|
5002●1/5(e101).
5●10/sin10x (f(x)=ln ctg5x)
51:3 (ң ү )
5 ●x≠5π/2+5πn; n*Z (y=tg x/5)
5●≠5π/2,n*Z |y=tg x/5|
)
5●(7)
54 |/=5, -/|
5●6 {<5
5●y=x+1/4 {F(x)=√x y=x5
5●1/25
5●1/5cosx/5
5●35
)
5●(4;+∞)
5●5^3cm/2
)
5●5 {xlne=5
N. ( , 5)
5●5lnxln5/x f(x)=5 lnx
5●42
5●75√3 cm² (S ∆)
5●3
5●10, 69%
5●3 1/3
5●27,6
5●(x+y)(5a-1)
5●1/2√x5 |f(x)=√x5. f(x)|
5●1/2√x+5cosx |f(x)=√x+5sinx|
5●15 ( ∆)
5●10 ( 5/π )
5●1
, 5)
5●10/sin10x (f(x)=lnctg5x)
5●15 ( ∆)
5●5,2 ( (5) )
CD )
5●5cosx+C |f(x)=5sinx|
5●5-XIn5 y(x)=5x
5●y=1/5lnx |y=e5x|
5●8 ( )
)
5●25
5●6 (x<5)
5●(10;11;12;13;14), (-2;-1;0;1;2)
5●(5; 5) {||<5
5●(-∞; 5] {≤5
5●(+)(5-1)
5●1/5 cosx/5
)
51200
5●5π (y=tg x/5)
5●5π tan(arctan 5π)
5●5√3/2 ( ∆)
5●6, 7, 8, 9 |xn=x+5|
5●945
Cos1,sin1,sin(-5)
5●ex+5 |f(x)=exe5|
5●M(3; 243)(=5)
5●2,0625
-5n
5● ү ә 98550
5●sin5x5xcos5x/sin²5x
50● I = (+) |=sin50|
50●10
50●1/2 ( , 50% )
2
50●125 %.
50●25 5√x=0
50●20;30
50●65º; 115º ( )
50●65º; 65º
50pn, nÎz
50●π/4
500●25/
ғ -ң
- :50
500060●2000.
5001021●345
5002●1/5(e10-1) {y=e5x,y=0,x=0,x=2
50025●n²m³
50033●135106
50044●25 /
50045●20
)
50055●25; 20
; 20
50077●(4;3),(3;4)
501020●1
50110●cos 20/2
501101●370
50110168●369,6
502●100²
5020222●(0;40)
50203●5
50222●π/4
5023025●60,40
50249248247242322212●1275
|
|
|
.
503025●60; 40 /
5036250002●2
504●5
505●3 1/3 |5 ∫ 0 √x/5 dx|
50055●25; 20
5051●(π/6+2πn;2πn)U
(π+2πn;7π/6+2πn)
5055●61,1 /
50553●35
505550123333●{3; 9; 24}
Ordm;
.
5060●1100
50625●4:5
5069897169897●50
507●93π/14
)
Ordm; (CAD)
50842350849765084●5084000.
51●(4;+∞) |√+5<x1|
51●y=5√x+1 |=51|
51●[5;6)
51●5
51●51 (15 5;1)
51●(6;4) |+5|<1
51●(πn/5; π/20+πn/5],n*Z (ctg5x≥1)
51●[0;1)U(1;+∞)
51●2,5<x<5 logx(5x)<1
51●2/(+1)ln5
51●51+sinx cosxln5 {f(x)=51+sinx
51●21/5; 17/5; 13/5; 9/5
51●(81;16)
5100●4000
A
5100170090003101●340
51003●250
510103●[2; 10/3]
5110054●2
510612●11/30(2)
511●17
5110●2; 8
5110●25x²+1
511023069●10
511025●1 11/40 (5 1/10 25% )
5111●(1;1)
5111●5/3
51116●(15;10);(2;3) |{=5 1/+1/=1/6|
511214●10 2/3
5112141621133142114●10 2/3
51130●(1;+∞) |{51>1 3x>0|
5113121●1
51138130● (+5/1+1/3+8/(1)(3)=0)
51138130●3
5115●(0;+∞)
511524●q=3,S=46,5
5115531216321●√3
511671256●b1=16;q=1/4
5118● 9; 6
511812●99/8
512●(1;24] |log5(x+1)≤2.|
512●1/2
Sm
512●6,5
512●[13;13]
. .)
512●13
( )
512●17 . ( ∆ NOP)
512●251-2 ln5 |f(x)=512x.|
)
)
512●5 |√5+√1=2|
512●2
)
512●8cm; 15cm ( ∆)
512●5π/3+10πn,n*Z {cos x/5=1/2
)
512●²+²=169.
5120●17
512021802●10 ( ∆)
5121●f(1)
51212●√2/2.
512120 ●50/11
5121201200●50/11
Ordm; ( )
5121313●900
51215121●1/2
512158541●626
5122132223●[1/5; 1)
51223●1
512232432●1
512240●169π
5122402●169π ²
5122402●169π ².{
5122412221●(1,5; 0]
5123●4√11
512326●24
51230●(∞;1,5)U[0,2;+∞) |51/2+3≥0|
51233●55
51233121224522150●9/175.
512334●7
512334282●7
5124●(∞;4]U[2; +∞)
51245124●5/3
5125175●2
5125181●60 000³
5125281713●3,2(6)
512532●1
512545●4,5.
51260●780√3
5126130150●1=log256; 2=log65
51264●16
5127301156●1/10
512813●m=8/7
512920●(∞;17/4)
513●30 ² ( ∆)
513●30
Ordm;.( )
513●60
)
5130902●120/169
5131●1. |√51=√3+1|
51310●0,25
513121●b1=81, b5=1
5132●5/12 {sinα=5/13, π/2<α<π
5132090●120/169
)
513322● 5/12
5133231533●1/75.
51332713323●[1√5;1+√5]
51345●63/65
5134532●63/65
5135●1
51351324●1
5135252351●8
513552818912511663●1,26.
513753513●(1;1)
51391512●84
7
5141●1/9
514131215●5 1/30
5141512926422762112●5 1/9
5142●(-4;-1)
;7
5142332●14/23
5142332223●1 4/23
)
5143142116●13²+120/336³
51450251265●1/16; 1.
5145124●5/3
5147●40%
5149●2175
515●. |+5+1=5.|
515●[∞;1 1/2]
5150●2175 ( 5 150.)
5150●7,5 ( 5% 150)
515013260●[3;∞)
5150147●54
51502226●1; 3
51506147●54
515100●2.
)
515124●=1
5151265●1/16;1
5151312●1=3, 2=-3
5151352●=3.
.
515153●1<x<2
515153●√5/√3
51520●(∞;1)
515222●>0
5152222324●x>0
51524●q=2,S=46,5
515253155●4
5155●5x4+1/x6
51550●[-1/5:5]
515525●6/5
5157●20
516●1/5(5+1/5)+
51621●6 |log(5x16)/2=1|
5170151321●4,0(08)
5171●2/(x+1)ln5
51713●55
51812●99/8
51813119112356●1 1/3.
5183234●5
52●≥0; ≥0 |= 5/2|
52●0
52●(0; 5) {5>²
52●15 ²
52●2π |f(x)=cos5xcos2x|
52●10xln10 (f(x)=5x2x)
52●5/o2o
X-2x
52●510/x+2
52●(0;5] (=√5+log2x)
52●[3;7]
Ln10.
52●10 (logab=5 logca=2)
52●11.
52●5
. 20 .
