22●[–√2;0] {y=–√2–x²
22●[–√2;√2] {y=(sinx+cosx)2
22●–2;1 2=|х2+х|
22●2x²/x–a. |a+x–a²+x²/a–x|
22●2 |√х²–2=√х|
22●2(e x/2–1/4cos2x)+C |y(x)=e x/2+sin2x|
22●2ex–1/x•ln2 |y(x)=2ex–log2x|
22●2x•(2xln2–1)/4x√x
22●[–2; 1]–{0} |f(x)=√log(2–x/x²)|
22●(x–a)(x+ay).
22●–x+a/x.
22●2см (сторона квадр)
22●х2+2ху+у2–4
22●πk,k*Z |sin2x=2sinx|
22●πk, k*Z, arctg2+πn, n*Z |tg²x=2tgx|
22●4πn≤x≤2π+4πn, n*Z |y=2+√sin x/2|
22●х=π/2+πn, n*Z | y=2x+sin2x |
22●a•b/2c (a•b/c)
22●–45о
22●x4–y4 {(x–y)(x+y)(x²+y²)
22●4 {(a/b+b/a)²–(a/b–b/a)²
22●sin3x
22●2cos 4x |f(x)=sin2x•cos2x|
22●3/a+b
22●a+b (a²–b²)/(a–b)
22●a–b {a²–b²/a+b
22●(–∞;–4]U[0;+∞) {|x+2|≥2.
22●(–∞; 0) U (1; ∞) |х² ∫ х 2dt>0|
22●{0;2}
22●π/3+4πn≤x≤5π/3+4πn, n*Z
22●±π/4+2πn,n*Z |cosx=√2/2|
22●±π/4+2πn,n*Z |2cosx=√2|
22●±π/4+2πk,πn,n,k*Z | sin2x=√2sinx |
22●π/4+πn,n*Z |cos2x=√2(cosx–sinx)|
22●2πn; π/6+2πn/3
22●1/3 (y=x–x²,y=x²–x)
22●1+4/x²
22●45° {arcsin(√2/2)
22●–45° {arcsin(–√2/2)
22●45° {arccos(√2/2)
22●135° {arccos(–2√2)
22●4,5 {у=х2,у=2–х
22●a+b
22●х4–у4 (х–у)(х+у)(х²+у²)
22●a4+b4+6a²b²+4a³b+4ab³ |((a+b)²)²|
22●a+x/x |a²/ax–x²+x/x–a|
22●a/xy-a²
22●ax |a²x–ax²/a–x|
22●2а/b |2a–b/a•(a/2a–b+a/b)|
22●2(ex/2–1/4cos2x)+C {y(x)=ex/2+sin2x
22●1–sin x*sin2x/sin x
22●2
22●√2 |f(x)=sin2x/√2, f(x)=?|
22●√2 |y=sin2x/√2. f(π)|
22●–2;0 (–∞;–1) (–1;∞) |у=–х²–2х|
22●–2;2 б)(–∞;0),(0;∞) в)жок |у=х/2–2х нули осу кему|
22●64/15π (Объем тела у=2х, у=х²)
22●3/5 |cos2α, ctgα=–2|
22●28 (в момент время)
22●2ex–1/x•ln2 | y(x)=2ex–log2x |
22●7/3
22●4πn(π/8+α/2)sin(α/2-π/8)
Y= 2+√sinx/2●●●4πn«x«2π+4πn.n*z
22●cos α/2 {cosαcos α/2+sinαsin α/2
22●–sin x/2
22●–sin α
22●√x+√y/ √x-√y
22●x²(1-lnx)-2(1+lnx)/(x2-2)²
22●π/2+πn
22●–ab
22●x²–x²lnx–2lnx–2/(x–2)² | f(x)=xlnx/x²–2 |
22●(–1)n+1 π/4+πn; n*Z |sinx=–√2/2|
22●(1;∞) {y=log2(x2-x)+lgx
22●(a–b)(x²+x–1)
22●(a–c)(x²–x–1)
22●[–3π/4+2πn, 3π/4+2πn],n*Z (cosx≥–√2/2)
22●[–5π/4+2πn, π/4+2πn],n*Z (sinx≤√2/2)
22●1 |√2–x²=x|
22●–1 |√2–x²=–x|
22●3π/4 |arccos(–√2/2)|
22●4 {(квадрат ауданы)
22●4 (Площадь)
22●4x³ |Упр выр x•x•x•2•2 |
22●3/5
22●5/2 (log2x=logx2)
22●4πn≤x≤2π+4πn,n*Z | y=2+√sin x/2 |
22●(5π/4+2πn;–3π/4–2πn),n*Z |x+y=π/2 sinx+siny=–√2|
22●x=5π/4+2πn; у=–3π/4–2πn; N*Z
22●7/3 |y=2–|x|, y=x²|
22●4/3 |y=x², y=2x|
22●a+b/c²–d² |ad–bc/2cd(c+d)+ad+bc/2cd(c–d)|
22●(2a+b)(x–y) {2ax+bx–2ay–by.
22●–ab {ab²–a²b/a+b.
22●m²–2 {tg²α+ctg²α=m,tg²α+ctg²α
22●sin2a
22●–45
22●x²(1–lnx)–2(1+lnx)/(x²–2)² (f(x)=xlnx/x²–x)
22●–sinx/2 {f(x)=2cosx/2
22●√7
22●–π/8+πn/2,n*Z |sin2x=–cos2x|
22●2πn, π/6+2πn/3,n*Z |sin2x–cosx=sinx–cos2x|
22●x=5π/4+2πn; y=–3π/4–2πn,n*Z
22●x=5π/4+2πn
22●xmax=–2, xmin=2 (у=2/х+х/2)
22●xmin=π/2+πn,n*Z (у=2x+sin2x)
22●π/4+π
22●y=-x?x?+x2
22●x²+4xy+4y² | (х+2у)² |
22●x²+y²/x²–y² | х/х+у+у(х+у)/х²–у² |
22●a=(0; 2)
22●(a–b)(c–a)(c–b) (a–b)²(c–a)(c–a)²(a–b)
22●4a(b–c) (a+b–c)²–(a–b+c)²
22●4a²–b² |(b+2a)(2a–b)|
22●–π/8+πn/2; n*z (sin2x =–cos2x)
22●a)-2,2; b) jok c) (-∞;0)(0∞)
22●х=–1/2 мин. нyкте
22●a)x=–2 x=–2
22●a)x=–2; x=2 б)xmax=x1; xmin=x2
22●х=1; у=3. |x²–y=–2|
22●х²+4ху+4у²(х+2у)²
22●х²+2ху+у²–4 (x+y+2)(x+y–2)
22●4a•(b–c) (a+b–c)²•(a–b+c)²
22●Нет решении или ответ
22●шешими жок (sinx+sin2x=2)
22●жауабы жок (sinx+cos2x=2)
220●1; 3/2 |у=2sinx+cos2x, [0; π|
220●12 (x+y, xlgy=2 x y=20)
220●–π/4+2πn≤x≤5π/4+2πn, n*Z |2sinx+√2≥0|
220●π/2+πk, k*Z (sin2x+2)cosx=0
220●π/2+πn, ±π/6+πk,k*Z |2cosxcos2x–cosx=0|
220●(–1)кπ/6+πк,к*Z;πn, n*Z |2sin²x–sinx=0|
220●π/2+πn,n*Z (–1)k+1 π/4+πk,k*Z |sin2x+√2cosx=0|
220●π/2+πk, k*Z
220●(–1)п+1π/4+πn
220●(–1) π/6+Пk
220●π/2+πк,к*Z,2/3π(3m±1),m*Z
220●–1 f(x)=(x²–x)•cos²x f(0)|
220●–1≤х≤2 или [–1;2] |x²–x–2≤0|
220●(–2;0) |х²+2х<0.|
220●(–∞;–2]U[1;+∞) |x²+x–2≥0|
220●(–∞;0)U(1;∞) |х² ∫ х 2dt>0|
220●4,5 |у=–х²+х+2 и прямой у=0.|
220●π+2πп,n*Z |2cos(x/2)=0|
220●π+2πk |2•cos(x/2)=0|
220●±3π/4+2πn,n*Z {2cosx+√2=0
220●3/2; 1
220●π/2+2πn
220●4
220●4*1/2
220●[–π/4+πk; 5π/4+2πк],k*Z {2sinx+√2≥0
220●–3 {f(x)=2cosx–cos2x
220●–6 и -14
220●π/2+πn; ±π/3+2πk;n,k*Z |2cos²x–cosx=0|
220●–π/4+2πn≤x≤5π/4+2πn,n*Z
220●π/2+πk
220●πn, n*Z
220●πk,k*Z {sin²x–2sinx=0
220●2
220●[–4;5]
220●45,36
220●х≤–2, х≥2
220●300; 800км/ч
220●28800гусей,15600уток
220●шешуи жок
2200●а=arctan2 y=sin2x+cos2x, в точк (0;0)
2200●–2ab
22001●5 8/15π |y=x²+2, y=0, x=0, x=1|
22002●16/15π |y=x²+2x, y=0, x=0, x=–2|
22000120●√10
220002756●7000 тенге
22005●у=–14х+11.
22011●3 1/3. |y=–x²+2, y=0, x=–1,x=1|
2202●1 1/3 |y=2x–x², y=0, x=2|
2202●5*1/3
22020●(1; 10]
22021●y=1
22021●3π/2
220220●(–1; 0)
22025●(–3;4]
22024232●2
22025222●2.
2203●(–20;–12),
2203●0,35 |sin² α/2, cos=0,3|
2203●y=4x–9 |y=x²–2x в точке х0=3|
22030●28800гус,15600уток
220308400●28800гус,15600уток
220●[–4; 5] {–х+х²≤20
22011●3 1/3
2203●у=4х–9
22037●385
2204●0,7 |cos² α/2, если cosα=0,4|
22040●–m/√m²+1 |sin220°, tg40°=m?|
2204020●1/2 |2cos20°cos40–cos20°|
2205●нет решения {√х–2+√20=√5
220516●0.25;8
22052475●45. (NOD)
221●1 |x/y=y/z x²+xz+2xy=1|
221●1;–1 |2cos²α–1|
221●(–1/√2; 1/√2) |у=–2х²+1|
221●(–∞;–1/√2)U(1/√2;+∞) |y=2x²–1|
221●a=±√2 {x²+y²=1 x–y=a
221●±2π
221●любое число
221●2tgх–2√x+C | у=2/cos²x–1/√x |
221●2/(2x+1)•ln2
221●2х²–2х/(2х–1)² {f(x)=x²/2x–1. f(x)
221●(-1)ⁿ+π/6+π,n*Z; –π/4+πk,k*Z
221●–sin2a {tg2a(sin2a-1)
221●–2sin α. |2sinα–sin2α/cosα–1|
221●(–∞;–√2]U(–1;√2] {y=√2–x²/x+1
221●(–∞;∞) |у=√2х²–х+1|
221●√2
221●–4 | f(x)=2x². Найдите (–1) |
221●π+2πn
221●2π/3n,n*Z {cosx·cos2x–sinx·sin2x=1
221●1/2<х<2 | log2xx²<1 |
221●2cosa2cosa-sin2a/1-sina
221●–ctg²α
221●–cos² α |cos²α*tg²(–α)–1|
221●–sin²α {tg²α(sin²α–1)
221●кез-келген сан
221●π/4+π/2k,k*Z
221●π/4+πn/2; n*z /sin² 2x=1/
221●πn/2;n*z /cos² 2x=1/
221●–π/2+2kπ /tg(π/2+x/2)=1/
2210●(-1)k+1π/8; ±π/2k
2210●[9;+∞) |у=х²–2х+10|
2210●–1
2210●–1/10
2210●π/2+2πn;(-1)k+1π/6+πk;к;n*Z
{2sin²x–sinx–1=0
2210●π/2+πk |ctg²x/2–1=0|
2210●–π/4+πn; nЭz /tg²x+2tg x+1=0/
2210●(-∞; -1]U[1;∞)
2210●π/6; 5π/6
2210●π/4(2k+1),k*Z |2cos²x–1=0|
2210●х=–π/8+πк/2, к*Z
2210●x≠–1 (x²+2x+1>0)
22100●f(x)=–1.
22100●√2
22100●π/6; 5π/6
22100●π/6 | 2cos2x–1=0 на интер (0; π) |
22100●83/15π (Объем тела у=х²+2, х=1, х=0, у=0)
221002●(–8;6),(6;–8)
2210048●(8;6);(6;8);(–8;–6);(–6;–8).
2210060●(0;–10),(0;10),(–8;–6),(8;–6)
22101●y=–1
221012200●9см
221012450●в четвертой
221014700●2см |х²+у²–10х+14у+70=0|
221014700221014260●12см
221016●1464 см²
221018●215кг
2210232●{7π/6, π/2}
22103●y=12x–19.
221052●1;5,5
22105824●3;4
221060●1464
2211018143●215кг
2211●ab(a–b) |(a²–b²):(a-1+b-1).|
2211●1 |ен киши y=e2x–2x на интерв(–1;1)|
2211●60
2211●60° (Опр угол наклон отр к плоск)
2211●–1/3.
2211●–1/3 |f(x)=(x+2)/(2x+1), f(1)|
2211●х=2.
2211●sin²β |ctg²β(cos²β–1)+1|
2211●a+b/ab |a–2–b–2/a–1–b–1|
22111●a²–ab+b²/ab
221111●xy
2211018143●215кг.
22111111●8√2cm²
221112131●2
221121●(–3;–2),(3,1).
2211221●1/a+b
22112222●0;1
2211231122231●3x–2.
221125225●3.
221130●(–6;–5);(6;5) |{х²–у²=11 ху=30|
2211332●(9;7)
22114520●2
2212●–3. {значение 2m–M
2212●2(ln2–2); –2 y(x)=2lnx–2x [1;2]
2212●1
2212●(3,5; 1,5)
2212●[0; 2]
2212●π/8+π/4к, к*Z |sin²2x=1/2|
2212●π/8(2k+1),k*Z |cos²2x=1/2|
2212●±π/3+πn; nЭz
2212●4.
2212●π/8(2k+1)
2212●2+2/е²
2212●–sin²α |cos²α–(ctg²α+1)sin²α|
22120●–π/2+2πk,k*Z 2πn,n*Z
22121●–8/25 {f(–2), f(x)=x²–1/x²+1
221210●(–∞;0]
221210490224210●(4;1)и(3;2)
2212121●х3
221216250●(6;–8), 5√3cm
22122●1/а | х/а(x–2a)–2(1+x)/x(x–2a)+(x–2a) |
22122●2
22122●y≠1
22122●y≠1 {y=2x²–x–1/x²+x–2
22122●y≠1; y≠2 |y=2x²–x–1/x²+x–2|
22122●√2lg2
221220●πk/2
221221●(0;+∞)
22122122●4πn/3
221221822212●2
2212220099●1–√2
22122221●{0;1}
221222223100●3/2
221222223448●––––●4,5/–/–/–/→x
221223●π/2(4n+1)
221223●(–∞;–3)U(1;+∞)
221225●90%
2212284●sin8a
22123●π/2+πn,n*Z
221231●2
221232●2
2212324228212●–1/4x.
22123381●(-5/3; 7/6)
221242●8. |2(√2+1)²:4√2|
2212424●1
22125●3
2212505113●1,5.
221252522●1.5
22126●Ни при каком действительном х
2212284●sin8x
2212360●0
2213●1
2213●9/2
22132●2 {22x+1=32
2213225●(±3;±2) |{х²+у²=13 х²–у²=5|
22132321222●–√3;√3
2213253411●явл №5
221331●–2.
221331●1 |f(x)=x–2/x²–1/3x³, f(–1)|
22133123●(3;1),(1;3)
221334●(3;1)(1;3)
22134●(3;1) (1;3) |{x²+xy+y²=13 x+y=4|
221350●{2;3}
22136●(–2;–3);(2;3);(–3;–2);(3;2).
2214●–1–32/π² |f(x)=cos²x+2/x–1, x=π/4|
2214●10 см² (площ диаг сечения)
2214●0,96.
2214●–0,96 |sinα, если sin α/2–cos α/2=1,4|
2214●(–1)k+1π/24+πk/4,k*Z |sin2x•cos2x=–1/4|
2214●±π/3+2πл |2cos2x=1–4cosx|
221410490224210●(4;1) и (3;2)
2214122232●(–3/2;–1)
2214112321932●–1
221426●ни при каком действительным x.
221426●x мани жок
22142714●2
221431●x=–3
221431●–1;3 |х²–2х/х–1=4/х+4|
22144●(0;–12)
22144122●0,25
2215210●(–5;3)
22152513●2
22153●(–∞;-3]
22153●104,9km (Какпуть прош по теч 3ч,прот 4)
2215334●104,9км
22156●200тг
221563210●{–1;0}.
2215822292225●2
2216●a=±4
22161024●–2;2
2216216●8
2217●2 |√√х+21+х=√7|
2217230●–1; log23
2218●2(x–3)(x+3) {2x²–18
22180●(–3;–3)
22181●08
22181●0≤х≤√2, х>8
22182214●(–4;–1),(4;-1);(4;1),(-4;1)
22189●(–3;–3);(3;3) |{х²+у²=18 ху=9|
221915●(3;5); (5;3);(–3;–5); (–5;–3).
222●a
222●±1 |y=2x²и у=2|
222●(x–z)(y–x+z).
222●(–3;–2)U(1;2)
222●π/4+πn;n*Z; ±2π/3+2πk,k*Z
222●π/4+(4n+1),n*Z |2sinxcosx–cos²x=sin²x|
222●(a+2c)(a–b)
222●π/2+πn; π/6+πk
222●±2π/3+2πk; π/4+πn,n*Z |sinx+sin2x=cos2x+cos²x|
222●(–∞;0)U(0;+∞)
222●(–1;∞) | f(x)=log2(log2(x+2)) |
222●(a–b)(b–c)(a–c)
222●1. |2cos² α/2–cosα|
222●1 |cos2α+2sin²α|
222●a–b (а²–2аb+b²)/(a–b)
222●sin2α/2
222●2. |((√2)√2)√2|
222●2–x (x–2)²/(2–x)
222●4 |π/2 ∫ –π/2 2cos xdx|
222●2–x |(x–2)²/(2–x)|
222●2 {tg²x+ctg²x, если tgx+ctgx=2
222●1/cos²α
222●1/sin² α {cos²α+ctg²α+sin²α
222●(–3;–2]U[1;2)
222●2x |х²–у²/х+у•2х/х–у|
222●0
222●1/2cosx
222●4x/cos²(2x²–√2)
222●–4х/sin² (2x²–√2) |f(x)=ctg(2x²–√2|
222●x²cosx y=(–2+x²)sinx+2xcosx
222●π/8+πn≤x≤3π/8+πn,n*Z |2sinxcosx≥√2/2|
222●(–1)kπ/8+π/2k, k*Z |2sin2x=√2|
222●(–1)nπ/8+π/2n, n*Z |sin2x=√2/2|
222●(π/8+Пn; 3π/8+πn)
222●±π/8+πk,k*Z |cos2x=√2/2|
222●±π/6+πn,n*Z |cos2x=2sin²x|
222●1/b–а
222●cos x (f(x)=2sin x/2 cos x/2)
222●sin²x |tg²x–sin²x•tg²x|
222●1/sin2α–cos2α+ctg2α+sin2α
222●1/2 sin2α |2cos α/2 sin α/2 cosα|
222●2π {у=(sinx/2+cosx/2)2
222●2х
222●е2.
222●6 (y=2x²+x, абцисс –2)
222●х(х+1)(а+в-с)
222●(x+2y)(x²–1) |x²(x+2y)–x–2y|
222●х2cosx
222●a²+4x²+x4–4ax+2ax²–4x³
222●а={0;1} |х²–2у²=а х+у=а
222●a²+4/4a
2220●(1;2)
2220●(5;5) |{logyx+logxy=2 x²–y=20|
2220●(–1;0)
2220●2
2220●4x+10/√x
2220●πn, n*Z,–π/4+πк
2220●π/2+2πk,k*Z {2sinx–cosx–2=0
2220●–π/4+πn,n*Z |sin2x+2sin²x=0|
2220122522232●1/4
222001013●3π+π/2
22202●у=–8х+10
222022●–2ab.
22202212●(–4;–2),(–4,2)(4,–2)(4.2)
222025222●4b–2c/2b+c
22203003300040044000●a>b=c
222035015●–0,33.
22206●(4;–2);(2;–4) |{х²+у²=20 х–у=6|
2221●sin2x+1
2221●–1/2cosx+1 |f(x)=sin x/2·cos x/2,F(x),M(π/2;1)|
2221●–2/x+2cosx+x+C |f(x)=2/x²–2sinx+1|
2221●(2;1);(–2;–1) | {x²–xy=2 y²–xy=–1 |
2221●(π/2–πn; πn),n*Z
2221●1 (sin α/2+cos α/2)²/1+sin α
2221●b–a
2221●cos2α
2221●sin2x+1 |f(x)=2cos2x, F(x), M (π/2; 1)|
2221●x≥0 |x=√2x²+y²–1|
2221●x=π/4+πn/2; y=π/4–πn/2;n*Z
2221●х=2.
2221●х=2 {logx (x²–2x+2)=1
2221●a+b/a–b {(a–b)²/a²–b²)–1
2221●π/2+πk |sin²x+2cos²x=1|
2221●±π/8+kπ/2,k*Z |2•sin²2x=1|
2221●π/8+(2k+1),k*Z |2•cos²2x=1|
222100●(6;–8);(–8;6). {x+y=–2 x²+y²=100
222102●3.
2221111222210●–8
22211221●(6;9]
22211221●9
2221212222●1; 3; 4
222122522232●1/4.
222123●11
2221272●–3;1
2221312432●3/1–x
2221322●[–6;6] |x²–2√x²+13=22|
22214●6
222146●(3;2);(–3;–2).
22216●1
22216240●(–√2;–√2)U(√2;2)
2221822214●(–4;–1),(4;–1);(4;1),(–4;1)
2222●(2;5)
2222●4
2222●–xy. | x–x²–y²/x–y)•(y+x²–y²/x+y |
2222●–x–y/x+y |x/x–y+x²+y²/y²–x²+x/x+y|
2222●tg² α/2 |2sinα–sin2α/2sinα+2sinα|