16281●2, 14, 3, 3
162810●0,25.
162821622●4ab/4a+b.
16290●24.
( )
163●1/3 ln|x|-7x6/7+C
1630●192π ² ( 6-)
1630●16(1+√3) ( )
163020●3840 ³ ( )
163048003●1360²
16306●10 ( 2 )
16306752825137258215●250.
163120●16(3+2√3)π
163192452115●√31 3/25
( )
1632123●[4,5;+∞)
1632234●5
163236032●720 ³
16324291●0.
163292●[2;3]
163236032●720 ³
163321200●2
1634●2 |16³=4|
1634291●0
Km
163793●1
16384●4x4+2sin4x+C |f(x)=16x³+8cos4x|
)
1640026002●360 ²
164025281054●√b/2
164025281054●√6/2
16408●86,4 |1=6,4; d=0,8|
164133●13
164133241●16/41 (16/41+x=32/41)
164145●1/4 (b1=64, g=1/4, b5)
16420●(0;+∞)
164212●16.
164228●3.
164242396●(4a²3³)²
1642529●1;-3/4; 3/4;1
16428658●1488
16428658●S1=1488
1643●28
164642513●2
1648●64√2/3
500
165102074●40; 25.
.
16520251282●5,2
16521●100; 108 |1/lgx6+5/lgx+2=1|
165285●1/4
16532●1/3; 5
K,
165420●0,5(0,54)/5
16562323●a3b2c
1657●{6;1}
16572●{3;4}
1660●16.
1660●64π ² ( 6-)
166●5;3
1662●5 /;3 /.
16626●160
16677●3.
( )
.
167510777●17; 11
16762●2x8+6tgx+C |f(x)=16x7+6/cos²x|
()
)
168●10
M
)
168● 60; 80
1680●50
168010●50
168010●50 /.
10
161,08
16813243●6.
Sm
1682343212●2
X10
24
, 29
Cm
)
( )
1685696●32
D)
)
169●150cm²
16913215●3
Frac34;
16960●72
ұ құ:17 ;7
|
|
17●y=1/x7 {y=1/x+7
17●0 | cosα tgαsinα. 17.|
17●28/3
170●y=1/x7
Ordm;
1707050●0
17101742●(4;3)
1711●√+1+ln|x|+C
17118●224
17122●√21
( )
1713●12,5
)
1715●36π ² ( )
1715●240√3³ ( )
17150125●15
17151●15
1715131715●1/3
17152230●(3;1)
1716●30
( )
.
171667●d=4
17171660●240² ( )
17171732●{6; 0}
.
1721149297●*(∞;8]U[5; 4,5)
17211621100●101100
172118●1512c³
1721731741799●0
1722●√3 |1=√72²|
17221722...●(1;1,5)
17221722175●(1;1.5)
q)
17226873●1
1722822428●1; 9
1722882428●{1; 9}
Cm.
17234817221●13.
17249●[2; 0]
172515●210
17258825●Net (17/25>88/25)
17255722●13; 4.
1725617013351208025●29 7/12
172617●>6
қ қғ:1728
172701121●1,1; 3,1 |17=2,7; d=0,1 a1 21|
17273●23 (ʖ )
172863●b1=3, q=4 b1=48, q=1/4
173●42
( )
173150124●(-24; +∞)
17321232●29/32 (17/32+12/32)
173235●210x(1/7-3x²)34
17326426●38
17326426●n=38
17326726●38
173351●√10/10
173411●x<7
1738550●d=-8 C=-9450
174●[0;2] |√+1√+7=4|
17423●11
174497●[4;7)
1745●=411
174737●639√7
174945●√52
)
175100037525●200.
175111175156●0,25.
1752051205●0,8.
17527117●6
1753270●23;3
17534●1/2 |√1,7√5/34|
17534●1√2
17562●4
17579085●017
176●√3/2 |cos 17π/6|
( )
1771●(7; 7 1/7]
1774●8 |√x+17√x7=4|
178●27 |+1|+|7|=8
178●225π ² ( )
( )
17814740...●0,25.
17840●1,2
6 )
17842●125 |a1=7, a8=42|
179●1 1/3 | √ 1 7/9. |
1792233100●0,02
179223310010●0,2
179718●0
18●1 (m,n*Z a (1/n)=8, m+n=?)
18●162 ² {
)
18●81
Ordm; ( )
18●9
( )
( QSTO)
18●2/9
|
|
18●40
18●12√2( )
( )
18●810
18●(6;3;9)
18●54º ( ∆)
180●196
1800●12
18002●1764
18001090040●18
1802●160º ( <2)
1802180●1/sinα
1803●2π/3
180360●350 %.
( )
180505●n=5
18090●0 |sin(180º-α)+cos(90º+α)|
Ctga
1809012180180●240
18090360270●0
181043●n=33, S33 =1848
1810864●1=2; d=2
1811011112●9,2;14
18113●121 1/3
1812●99/8
1812111110●{9,2; 14}
18125●2√15
Y)
Kk)
18129●135cm²
18131●121 3/1
1814●2/
1814●8;8;12
1814●12; 12; 8 ( ∆)
181410●6
1814122●22/7
1814277●144√2
181431510●2 /
1815●120 %. (18 15 )
)
1815●4
X-1)6
1815535●[90;110]
Cm
I
( CD )
1816015333432503819238513●2,6
181614●19.
18162●b=9; q=3
18162●486
18163067●27
1817●8/15 tan[sin1(8/17)]
1819●0,5
18191275350●,,+,
18196713●14
182●27
Sin8x
( )
182025●16 %.
18203●410
18203●410
182040●12√3sin40º; 12√3sin20º
182050●6,75
1821025●16%
18213●6; 3; 9.
18213242●1;7
Cos4
1822●cos4β
18225●x<5, x>5
1823●9√3 ² ( )
18236123662●6/a(a+6).
1824●cos4β
182420●288 ² ( )
182425●1440³ ( )
18245●9 / ( , 18; 2; 4,5)
18245●9
1824512114●7,6
18248●7/9
1824812114●7,6.
, 10
( )
1828●72cm².
183●2π/3
Cm.
( )
1830●25
183045●9√2²
18312●13 1/3
183172310●64
1832●4.
1832●2 4/3
1834941234091506302719●2
S )
18362●108π ²
183670●(∞;2)U(7; +∞)
1840●72π ². ( )
, 10
1840●100 ( ∆)
; 8.
,10 .
1841●40 {
18416●52
6
6
182●146,25π ² ( )
X40
185●tq3 π/5
85 )
185●tg2 π/5
18508585212117888926233425●1/12
18510●(1/5;2/5) log1/8(5x1)>0
18514721025●1/2
18515●7,5
1854●0,25
13,5.
( , )
1865958●2x/y³
18718721961962●1
( )
18724●3,3.
187245●11,25.
187618●(3; 2)
Cm.
|
|
12
18881●(16;2)
1882325●2
188232518●0,5.
188232531606251318269●2.
18881●(16;2)
189●27 (1 6 )
189●7/2
1892●a²+81
Ordm;.
1893192718733156●56
)
)
19●14
190●361
190●40π ( =√, =1, =9, =0)
19002●38
()
1911101965273●9.
191227635213916512●7 2/5.
19123●1064
19123481216224●1064
1912731●3
.
1913●27/4 {b1=9,q=1/3
1913●9 / 10+3/4
1913●3/x49/x10 (f(x)=1/x91/x3)
1913191319132●0
19133●14
1913816●271/2
191622●(15;6)
1920●(-∞;0)U(0;∞)
19211821●1/21 (19/2118/21)
19224●2040 ( 1 8 )
1922642●512√2/3 ³
192300●20%
19251126●0,625
1925350234016●2.
1929●5/36,6/36,7/36
193●9
193304●[3;1]
1933721143●[1/√3; 4/7)U[1/√3; 1)
19433●1.
19451945●18. |1/94√5+1/9+4√5|
194627863141154●0
195112●0,625
19535●15; 30
30
19541541..●5/11
195415414658224582●5/11
1992351●c=2a+3b
Cos8x sinx
2●0 2|x|
2●0 (AN+BD-2AD)
2●0;1;1 ²=||
2●0, 2, 6, 12 | bn=n²n |
2●x=0 x=1
Sin2xdx)
2●(0;5) |√2x=x|
2●0,5 |sinxcosx, sinxcosx=√2|
2●sin(a) |sin(π/2a)|
2●1 |π∫ π/2 cos xdx |
2●1 |cos(α+β)+2sinαsinβ/cos(αβ)|
2●1;2
2●[1;∞) {=2||
2●[1/e; ∞) |f(x)=2x lnx|
2●(1;+∞)y=22
2●x=1 |f(x)=2√x-x|
2●135º ( ∆)
)
2●16² ( )
2●1/2tg x/2 | u(x)=ln(cos x/2)|
2●1/2√x2 | f(x)=√x2|
2●tg α |√2sinαcosα/sinαcosα|
2●tg α |tg(πα)cos(α)/sin(π/2α)|
Y=arcsin(sinx)= 2π
2●1/xln3 f(x)=log2x, f(x)
2●ln 1/2 (y=2ex+x)
2●2 {=||+|2|
2●2/sin²x |f(x)=2ctgx|
2●2x∙sin² y(x)=cosx²
2●2 | f(x)=x²ex|
2●2 |f(x)=x²ex|
In2x
2●2lnx/x. | y=(lnx)² |
2●=2 |√+2= |
2●60
PQ)(3a)
2●πk,k*Z;π/4+2πk,k*Z;3π/4+2πn,n*Z |sin2x=tgx|
2●πn,n*Z;π/3+2π,k*Z |sin2x=sinx|
Ordm; ( )
2●F(x)=1/2e2x+C
2●4+2√2 ( )
S cm ( )
2●tg(α/2π/8) |√2sinαcosα/sinαcosα|
2●πn, π/4(4n+1)kεz
2●πn≤≤π/2+πn,nεz |y=√sin2x/cosx|
-)
2●π+2πn:nεz | cos(π+x)=sin π/2 |
2●π/2+πn,n*Z |cos²x+cos/sinx|
|
|
2●π/2(2n+1),nεz(-1)
2●π/2(2n+1),nεz(-1)π/6+π,εz
2●π/2+2πn; (1)n+1 π/6+πn;n*Z |cos2x=sin(π+x)|
2●4√S | |
2●π/2+2πn;(-1)n+1π/6+πn;n*Z
2●sin4a/4 |sinαcoscos2α|
2●cos2x-sin²2x/ cos²x |f(x)=cos2xtgx|
2●xmax=0
2●ctgx/ln2 |f(x)=log2(sinx).|
2●2πk,k*Z |sinx+tg x/2=0|
2●x(sin2x+x)/cos²x |h(x)=x²tgx|
2●2x(sinxln2+cosx) |f(x)=2xsinx|
2●0
2●ln ½ (y=2ex+x)
2●2/sin²x |f(x)=2ctgx|
2●(8+∞)
S ( )
2●x>0
2●2sinxe2cosx. |y(x)=e2cosx.|
2●2 |f(x)=x² ex|
2●2 | |
( )
)
2●(∞;+∞) |=2|
2●(∞;+∞)
2●[0; 1/2] | f(x)=√xx² |
2●[0;2]
2●135º ( ∆)
2●32/3π ( =, =2√)
2●π
2●(4;∞)
2●, V | y=2/x|
2●(2;+∞) |=2|
2●[2;2]
2●(2; 2) {||<2
2●[2; 2) |√+2>|
2●2. |√x+2=x.|
2●(a+b/ab)4. |a+b/ab(a+b/ab)(a+b/ab)²|
2●sin(x) | cos(π/2+x) |
2●x(sin2x+x)/cos²x |h(x)=x²tgx|
2●cos β-sinβ
2●1/2x+1/4sin2x+C |hx)=cos²x|
2●(2;2)
X
2●1/3. |sinαcosα/sinα+cosα, tgα=2.|
2●x+2 ln x+C |f(x)=x+2/x|
2●a²+2ab+b²
2●x1
2●(2+1)+² | f(x)=ex+x²|
2●(∞; +∞)
)
X
Ordm;
2●12,9
2●a²+2a
2●(ab)(2ab) (ab)²+a(ab)
2●1 |f(x)=xcosx f(2π)?|
2●cos2x-sin²2x/cos²x
2●cosx(cos²x5sin²x) (y(x)=sinxcos2x)
2●2cos2xe sin2x |y=e sin2x|
2●cos²x
2●1)(0; 1/2];[1/2;∞) 2)=1/2
2●1/2aֿ+2bֿ (BK→+AC→+MD→)
2●1/2e2x+c f(x)=e2x
2●1/2c² +c
2●1/2√x2 | f(x)=√x2 |
2●1/2x+1/4sin2x+C |h(x)=cos²x|
2●1/2 cos(α+β) |cos(α+β)+2sinαsinβ/cos(αβ)|
2●1 1/3. |=²+, =|
Ordm;
2●2√√/
2●1/(2√x1)
)
2●1/6 |=²|
2●60; 75/
2●16sm²
( )
2●2 |√+2=.|
2● *[0; ½]; [1/2;1] |y=√xx²|
Sin2a
2●2sin α |cos(π/2α)+sin(πα)|
2●2+cosx
2●2(√√x)/ax |2/√a+√x|
2●(a-b)(2a-b) {(ab)²+a(ab)
2●24² ( )
2●4
2●=4π |=cos x/2|
2●60,80
)
2●e2x(sin2x-1)/sin²x | f(x)=e2x/tgx |
2●e2x(sin2x+1)/cos²x | f(x)=e2x/ctgx |
Sin4a
2●sin4a/4
X4
2●1; 2
2● 2 ( √2)
2●π/4+πn, n*Z {tgx+ctgx=2
2●π/4+πn,n*Z {tgx+ctgx=2
2●π/2+2πn,n*Z;(1)k π/6+πk,k*Z |sinx=cos2x|
N
N
2●πn/2≤x<π/4+πn/2,n*Z | y=√tg2x |
2●πn/2
2●=4
2●(a+b/ab)4
2●2a+2√a²b
2●cos^2 a
2●cos²α |sin²αtg α ctg α|
2●sin2x. | y=cos²x. y(x)|
2●√/
2●cosx(cos²x5sin²x) |y(x)=sinxcos2x|