()
236●(1,5; 4,5) |23|<6
236●2 |√2=√36|
236●3π3/4
236●6
.
. ( )
2360●100√2 ²
2360●2/3(sin3x1)
2360●24 ³ ( )
2360●18cm³
2360●3√3/2
2360●48π
2360●V=24
2360●2 |tgαctg α/2+cos3α, α=60º|
23601212●1/2
23612●x/√x²36
.
236142●4; 2
23615●x36/x5
2362185●xmin=3, xmax=1
236235●(1;1)(log2³;log3²)
236245●(4;5),(4;5)
23630●1,5; 2
2363180●11/21.
236333●2
23651418212..●5.
2365141821258003108256275285●5
236515●1,7.
23652271356●6
23656●15 |2/36=5/6|
236602●8;12
23672●0; 1,5; 2
23682●1564³ ( )
236881●3a4b/a+b
237●[2;5]
237●2 {xyz, x=2,y=3,z=7
237●(∞; 3) {23>7
237●d=7.
23711●27.
Log62
23721524●0,3
23723072●√30<2/3√72<7√2 ( )
237239●(3;0)
23730●72
237310●π/6+2πn/3,n*Z
2375182●m=3,6;n=4
2376●2 | 2sin(37π/6) |
2376●2. |cos π2sin 37π/6|
2378561517634221413●3/2.
2379●24
238●4; 5.
2380●8 |(2)(+3)√8=0|
238102●0;1;4.
23812●3
23814●1/2
23816●38.
2382224●2/m²+2m+4
23824●0,5
X
2383●a(a²6ab+12b²)
2383●(a2b)(a²6ab+12b²)
238451151389336526991812137918505●9.
238548●1/7
23880●(1) π/3+π,k*Z
2392●0;3
2392128●xmin=2; xmax=1
2392241●x=4 x=1
2392381●=9.
2392381●1; 1/9
2393613●c3a2b
2395●(11/7;∞) |2(+3)|<9x5
24●0; √8 |f(x)=x/24/x|
,7
24●=3
24●1 |sin(π+α)/sin(π/2+α),α=π/4|
B )
24●2√2; 2√2 { f(x)=x/24/x
24●√2 |π ∫ π/2sin(xπ/4)dx|
24●2/11 |tg(CAE), 2||=||=4||, ABCD |
24●70 (10 1 )
24●ctg(4+x)+C ∫dx/sin²(4+x)
24●(0;4) |=²4|
24●4y² (x²4xy+k)
24●64π ² ( ∆)
24●9 {2≤x≤4
24●(25;+∞)
|
|
|
24●(∞;2)
24●(∞;2) (2;∞) |f(x)=lg(x²4)|
24●[2;3] | y=2+|cos4x| |
24●[2;+∞) | y=2+4√x |
24●15/8 |ctg2α, tgα=4|
)
24●14
)
( )
24●24 ( , )
)
)
24●24√3 ². ()
24●x²(1x)(1+x) |x²x4|
24●x³/32x²+C |x²4x|
. ( )
24●(√28)
24●(3;7] |√+2=4|
24●[0; ∞) |=√24|
( )
24●2π2; 2π2.
24●sin α |√2sin(π/4+α)cosα|
24●(1;0) {²=4
24●256π ² ( ∆)
24●288 ² {
24●288 ²
24●≥0 =(2)4
24● (=²/4+||)
24●(x2)(x+2)
24●arctg2 | y=ctg2x x=π/4 |
240●(0; 1) |² ∫ 4dt<0|
240●2;4 |(x+2)(x+4)=0|
240●240=222235
240●20%
)
240●π/2+kπ |(sin2x+4)cosx=0|
2400●(ab²; a/b²)
2400121988●4
240023●3m+n+2
24010●4% ( % )
240100●20
240102340●(4; 100]
2402020●√3
24022●10
24023512●4200³
240288●20 %.
240300●1 |cos 240º/cos 300º|
20
24051080210●√2+√3.
60
2407532●=0,05625.
241●5
241●87,5² ( ∆ )
241●122,5
241●x²+y²+z²4x+8y2z=0
241●π/4+πn/2; n*Z |tg(2xπ/4)=1|
241●12 | BD {2; 4; 1} |
2410●(1)k+1 π/16+πk/4 √2sin4x+1=0
2410●169π
2410●169 π ². ( )
2410●2c (∆)
241010 ●[0; 4]
241031790310503●1205; 895; 525
,895,525
2411●1000
2412●π/6π/8+πk,k*Z {cos(2x+π/4)=1/2
2412●√2
2412●18√2
Ordm; ( )
( )
241208●<1,4 {24(1)<2+0,8
24121●9
24121●9 {y=|x²4|,[-1;2],=1
N
24123●(3;2) (y=x²4x+1, y=2x+3)
2412585●8
2412616●12; 4
24132●πkπ/4<x<π/4+πk
)
24132352130●1
2415●2/7
24152120●2
241523●√4x+15/2ln(2x3)+C
241530●{(9√53)/2; (1+√5)/2}
241571123●48.
24164●=4
241640●4
. ( )
2419●(x/21/3)(x/2+1/3)
242●π/4(2k1),k*Z π/8(2n+1),n*Z
242●(x7)(x+6) {x²x42
|
|
|
242●24π ² ( )
242●12/,9
242●xn4
242●0;0,5
242●4 8 ( )
4
242●cos4α
242●≠πn/2, n*Z |y=x²+4x/sin2x|
242●>1/3
242●4a²+16a+16
242●√x+√y/√xy
2420●0; 0,5 | f(x)=2x4x², f(0) |
2420●3π/16+π/2k,k*Z
2420●0;8
2420●π/4(2k+1),k*Z π/8(2n+1),n*Z
24201●y=2x+3
. ( 1 )
. ( AD)
( )
2421●(0;1)U(1; 3]
2421●y=2x+3
( )
24210●[-3;7] {x²4x21≤0
24210●m>4
24212●5/6
242122●2
2422●0,2
2422●4,5 |=²4+2 =2|
2422●3
2422●6 |2lg4lg2=lg(2x)|
2422●3π/8+π/8+πn;n*Z |cos(2xπ/4)=√2/2|
2422●(2π+4πn;π+4πn),n*Z |y=sin(x/2π/4)√2/2|
2422●1 |(a²/ab)(ab/a+ba):4/²b²|
24220●m<2
242210●50/17
24222●4. (y=x²,4y=x²,x=2,y=2
242222182222●1
24223●8; 0
24223315●2,5.
24223372540●2,5
24224288●1
24225●7 |x²=4+√2x²5|
242255251212021●16.
24226322●(x-y)/4y
2423●12 /, 9 /
2423●π/6(2n+1) 2πk
24230●5≤≤5
24230●5≤y≤2 | y=x²+4x2 3≤x≤0 |
24231●(3;1/3)(3/2;+∞)
24232●8/3
242320●8/3
2423243●1/x2
2423302●5.
2323326●17/6
X-2
24236165●b/2a
242364●3
24239163●5 1/3.
24239163●16/3
U(8; 9)
2423920●(9; 16] |{ log2x≤4/log2x3 9xx²<0 |
2424●1/8sin8x+c
2424●cos x/4 |cos²x/4sin²x/4|
2424●4m16n
24240●(∞;2)U(2;+∞)
24240●(2;2) |²4/²+4<0|
242401●+6+1=0
242405●π/24+πn/4<x<5π/24+πn/4,n*Z
2424●4m16n
242420●2.
242412●π/24+π/4n,n*Z
( )
C ( )
24242●2y-x/y
24242422222●4;2
24243●1/2x+C
X
X
24245●0
2425●(7; 9)
2425●(-∞;-2]U[2;+∞)
2425●6. (24 25% )
2425412225●3
2426●811,2cm²
242628210●πn/4,πn/14,n*Z
2427108●216
242824152●(a+2)²(a²+6a+4)
, 30
; 7
243●2 |y=x²4x+3 |
243●x=7π/4+kπ/2,k*Z |tg(2xπ/4)=√3|
243●(∞;2)U(2;+∞)
243●(∞;2]U[2;∞) |√²4>x3|
243●[2;+∞) |=²4+3|
243●3
243●(2;+∞) (∞;2)
7,5
243●(5+√13/2;∞) |√²4>√3|
243●7,5; 4,5: 7,5; 4,5
243●a)1,3 b)(2;∞) c)(-∞;2)
243●a)1;3 )(∞;1)U(3;+∞) )(1;3)
|a) ) >0 ) <0|
243● =4/23
2430●2π/3+8πk, k*Z
2430●1=3;2=1
2430●(∞;0)U(0;3/4)
24300●a)1;3 )(∞;1)U(3;+∞) )(1;3)
|y=x²4x+3 ) ) y>0 ) y<0|
24302●240
24302920●(2;3)
|
|
|
24309●7,1
2431●q=1/3.
24310●(∞;1)U[3; ∞)U{2}
243115342312●4/5
S4)
243135●121 181/16
24315●3 5/8
2432●≤1;≥9
2432●16π ²
2432●F(x)=x³/3+2x²7
24320●π/4+πn,n*Z; arctg3+πk,k*Z
24322●3(y+2)/y2
243222●(mx-n)(mx3+2x+1)
243229●(5;3)
24323●6(5√26+3√64√3)
243276●2.
24325●6 ( S ∆)
243260●{2; 1; 0; 1}
24328●9
2433●1/5
2433●1/6 | y=x²4x+3, y=x3|
2433●1/6 |=²+43, =3|
2433●(1)k π/12+π/12+π/4k,k*Z
24330●2; 3
24330●π/3+ πk,k*Z
24330●(2;3)
24330●π/18+π/3
2433232123●a+1
243329●(5;3)
24333●4
Bx
243406●2,75 |(2,43/4):0,6|
243406●4,15
2435●(11;2) |{=24 3=5|
243523●{2}
)
2436254●(3;1)
24363●(36)4+ |f(x)=24(36x)³|
243634●27(12√2+17)
243714002●16800³
24373●5.
24375●5
24375489323●8
24381●(2;4)
24381●0,8
244●7
244●4/
244●sin2α
244●sin²α
244●π/4 |y=2sin4xcos4x |
2440●(∞;+∞)
2440●2 |x²+4x+4≤0|
( )
24406●10
244100580●(-3;-2)(2;+∞)
24416●4 /.
2442●π+2kπ |2tg(π/4x/2)=2|
24420● 4; 4
)
2
2442424424122221●m+2n2/m2n2
2442690●10 5/12.
S )
2445●24
2445●8 ². ( )
2446230●x≥6 | 244x+6x²x³≤0 |
2448●4; 4 |√²+4√4=8|
2448●130
2448●64
24480●[-4;8].
244812●3π ³
24488412●1/2
( )
24497●8√14 | (√2) log4 49+7 |
245●1;3 |=²4+5 1)=5, =0 2) (∞;2]
3)y>0 5<x<1 4)y=0, x=3|
245●0,96
245●(∞;+∞) |=√²4+5|
245●[5;1]
245●[0,1;105] lg²x4lgx≤5
245●24/25 |sin(2arccos 4/5)|
245●a)-1,5 b)(2;∞) c)(-∞;2)
245●7/24 |ctg2, cosα=4/5,α III |
245●)5;1 )(∞;5)U(1;+∞) )9
|=²+45 ) ) >0
) |
2450●a)-5;1; b)(- ∞;-5)U(1; +∞) )9
2450●[1;5] |²45≤0.|
245101334●5.
245154●6.
2451626●(∞;3].
24522500●{5;1;1;5}
2456●3
24590180●24/25
2460●π/8k,k*Z |sin2xsin4x+cos6x=0|
24622812●2; 6
U(0;2)
24688●1
246890●2,4√5
247●8x³cosx
( )
)
2470●[7;2] U [2;+∞)
247253●5y+3b+9.
|
|
|
Ordm;
247545●40
24760●1/ 3√4; 8.
2481●0<x<9
Ordm;
24821●ymax=48 ymin=6
24823011●8i+24j
24836●64
24836347●15
24836413●18,2
24848●1.
248512●a511/512
24903●9
24908565●1079; 1411
24903●9
2493●9
2493513547●19.
2496●400 ( , 24% 96)
2492●x=√6; x=-√6
25●arcctg2,5+πn,n*Z |ctgx+2,5|
25●arcctg2,5+πn,n*Z |ctgx=2,5|
25●√20(7)
25●3 |x≥2,5|
25●2a5b9√ab |(2√+√b)(√a5√b)|
25●5/7mn ( ∆ )
25●50; 60
)
25●[2; +∞)
25●(7;3)
25●33,1/3%
25●32
25●6;4
25●20 ( ∆ )
25●20% ( % )
25●18
25●18c ( )
25●3/7
25●3/7 {sinα-cosα/sinα+cosα, tgα=2/5
25●2,0625
25●(∞;2] {√2x>5
25●0,5;(-∞;2,5] [2,5;∞)
25●2≤x≤3 {y=arcsin(2x5)
25●20% ( % )
25●20% ( 25%)
25●2e2x5 (f(x)=e2x5)
25●2ex5cosx+C f(x)=2ex+5sinx
25●5
)
25●a)0,5 b)(-∞;2,5) c)[2,5;∞)
4. ( )
қ қ-ү / қ :25%
250●(∞;2/5).
2500011023●0
25011111●(4;4),(4;3)
250230●8%
25025645●4x+11
2502650●a1=4, a50=102
25031●y=2x7
2503149712●28
2504313●11/6.
2508●3125
25088245●164
251●(0;+∞) |(2/5)<1.|
251●(1;3) |√2+5=+1|
251●25.
251●5/ 2ln2(5x-1) |h(x)=log2√5x1|
251●(0;-∞)
251●2 |√2+5=+1|
25100●(0;2)
25101●F (F(25/10) K(1)
251024●24
251051412●141
251052●1/2
Ordm;
2511025551●250
2512199●1,99
251220●0,5.
251251●(0;1/5)U(1;5√5)
25125125●1/125.
25125453●a+b/2.
2512715243●2
2512900●a1=84 d=4
2513●119/169 |cos2α, sinα=5/13|
2513090●120/169 |sin2α,sin=5/13, 0º<α<90º|
2513●119/169
251313●5
251326●65
25141●x+5
251435145156253●250
251439●(3;1)
2514536●1/6.
25145625●(3;1)
; 200 .
2515●(-∞;1/2)
251504152504●1,9.
251512●840sm²
251512●x=2
25154917●10.
2516●4 ( 25% 16)
25160●y=0,4x+3,2 (2x+5y16=0)
25160●(∞;+∞) |²5+16>0.|
2516515●(1;0)
2516549187●10
( )
25199●1,99
252●4²/25 |(2/5)²|
252●2
252●[0;2)U[5;∞) |=√²5/2|
252●[2,2] |f(x)=√log2(5x²)|
252●5(x+2)
)
252●5(x+2)4
252●4²+20+25²
252●(2;1) | =|√25|2 |
252● |25|<2x
M
2520●7 |√2+√5=√20|
2520●arctg√2/e/5+π/5
2520●40
25200025500●6
25202●250
25202●10 ( )
252024●2<<2
252027●3 | 25+2≥0,2 7/|
)
252027●1 | :25+2≥0,2 7/ |
25205213●10 2/3
25205213●102/3
252101●0,2
2521103●abc(+)6
2521522252●5
252153●5
252160●4/5; 4/5
252162●(5x4y)(5x+4y)
|
|
|
2522●125cm³ ( )
2522●b2=2, q=5
2522016220●5x/4y
25220421845●0
252215●3/4
25222●2.
25222522●4m²+25n²
252252●a/a+5b
252272232252●sin²xcos²x
252295212510●5.
2523●√7 |²=5+√²3|
2523●π/6+πn/3; π/4+πn, n*Z |cos(π/25x)sinx=2cos3x|
( )
25230●P20
25232●1/2.
252331●6
2524●2.
2524●49π cm²
2524●30² (, ∆ )
25240●x1=0,x2=-1.2
25241●5;4 |{=√+25 ²+4=1|
25241●(∞;-3]
25241●2<x<5 |f(x)=2lg(5x)+lg(x²4)lg(x1)|
Mn.
252450●(∞;26/3)U[6,5;∞)
2525●3. |(√2√5)(√2+√5)|
2525●4. |√2√5||2+√5|
2525●4²-25b²
2525●554
2525●√2m√5n |2m5n/√2m+√5n|
2525●√2x√5 |2x5/√2x+√5|
25250●√6;√5;√5;√6
25250●0;5;6.
Log5a
25251●0;-5
252520●π/10+2πk/5
252522250●6
252525●2/3
A-5
2525264642●3√1x²
2525405●432
25255●+5 |²/5+25/5|
25255252●1
252560●2 |x2+5√x2+56=0|
252575773●4/9
2526●(0,5;5), (2,5;1)
25262527●7≤x≤2
252627252627●212
25265252523●0
2527●(-1)k π/6+πk;(-1)n arcsin1/3+pn,k*z,n*z
2527121●1
252845●2
253●[0;+∞) (=2,5+3.)
253●√17
253●6 |√x2+√x5=3|
253●23
)
253●4
2530●[2π/3+2πn;2π/3+2πn],n*Z {cos2x+5cosx+3≥0
2530●[2π/3+2πn;2πn]
253057●2.
2531055364●2√19
25311●(3;8)
25312214332●[1; 2 2/3)
25313●5 5/6.
2531521●2,1
253220032●500³
25322261●12
253240●10
253251●125; 1/5
253251●{125; 1/5}.
2532540●5; 1;1; √6
2533●10 2/3
2533●3x1/4x4+5
253302532●1
25332511●2a 9/1
253320●(∞;0);(3;∞)
5
2534●150.
120
2535●60º 120º ( )
253521●10,5; 14,7; 16,8.
25354●(3;3) |√2x+5+√3x5=4|
25361●x=11/5
.
2538116238525●10
254●20/
15
254●x5√x
254●80
2540●9.
2540●(-4;-1)
254001801...●180
254002●160 ² ( ∆)
25410●{2}
254100●{2}
25413331●+1
254154●6
25420●π/4+πk; arctg4+πn;n,k*Z
25421029●(3;4]
2542290●(3; 4]
2542680●(-∞;1)U(2;4)U(4;+)
; 15
2543●0,5x53cosx+C |f(x)=2,5x4+3sinx|
25434●1 1/37
Axy
25460●17
.
254937585426●0,3
255●2sin 3π/10 cosπ/10 |sin 2π/5+sin π/5|
255●5 {lg x=lg 25lg 5.
)
255●2√5+5/5
255●(5/4;+∞)
255●5x+1
5
255110●1 11/40
2552● Ø
2551815●1/4
2552●0,3
25521●0;9 |²5=(+5)(21)|
255210●1,7√10
255200011032●1;3
255210●1,7√10
255234434534622●1/15³1/8²+2/15²
255253552●x5/5x.
25532●(2;4)
255320●5; 95
A)99;b)0
2554432●(1;1)
2555●0.
25563610..●15/4(-1)
255636●15a/4(a-1)
25564432●2.
2557●30² ( )
2559●2
25713●(1;2).
2571914121347603●x>13/3
25720112●12/
257550521804●1
256●(2 1/3;3 2/3),(7:1)
256●(1; 2)U(3; 6) {|²5|<6
256●2;3 |=²5+6|
256●a)(2;3) b)[2,5;∞) c)(-∞;2,5]
256●a)2;3 )(∞;5/2] )1/4 (=²+56.)
256●(x+2)(x+3)
2560●(2;3) |²5+6<0|
2560●8;7
2560●[6;1] {²5+6≥0
25602●k=1 (y=x²5x+6, x0=2)
256029140●[1;2)
2560402●12,8; 25,6.
2560442253201206●11.
25609036128125●0,2.
25612● =0; =12
256210●{6,1}{1}={6}
256215●31/30.
256216●12√2 ( )
256220240260280●9
2562221013670367173231734●2
256234822208132●1
25625623●3
256271223244●a(a3)/(a2)(a+4)
2562722●4
25627842●4/7.
25632●³√(x²+5x+6)²
256420●24
256452●154π
256452●x/ay
2565●2,0625.
25651●5
2566●(∞;42/17)
)
2570●(2;3) lg(x²5x+7)<0
25713●(1; 2)
2571914121347603●x>13/3
2572●0 | x+y=2 x+z=5 y+z=7 (x+y+z)²=? |
25720112●12/
2572015●12 /.
257277885021●3/2
25735185●++
; 10; 11,25
257550521804●1
258●x>3 | 2x5>x8 |
25800251250●6
25800251250●3 |2m5n=800 2n5m=1250,m,n*R|
2581034356●√18
258155●29.
258155916720545●3,8
2582●(2;3) {²5+8<2
258251423311243751989●2 17/21
25830●0
; 30 .
A
25841684●9/84 (25/8416/84)
259●(∞;23/4] |y=x²+5x9|
2591592591598100●4
25935●6; 1 |²+5=9 ∫ 3(5) dy|
25945●1.
25945●1 |(2√5)√9+4√5|
2598●45; 135
X8
26●(8;4) |x+2|<6
