Comments by "Fhf Fhf" (@fhffhff) on "Продолжение следует" channel.

  1. а,21а-¹ 8-а,3-а а=2,1✓
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  2. (2x+cosy)/dy=(-x²tgy-cos²y)/dx -siny=-2xtgy -siny(1-2x/cosy)=0[y= πn,y=±arccos(2x)+2πn.
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  3. 4cos²(x/2)+4cos(x/2)-1=0 cos(x/2)=(-1± √2)/2 cos(x/2)=(-1+√2)/2 x=±2arccos((-1+ √2)/2)+4πn
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  4. √(3x+10)+√(x+2)=2 {x[-2;2],[x=-2,√(x+2)=-2;{-2}
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  5. √(R²-6,5²)=6+√(R²-11,5²) R≥11,5 152,5⁰,⁵=R✓
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  6. 17/82>3/38
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  7. 164=(2a+21)/2*8 a=10
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  8. {F1=500/(sin50°+√3/3cos50°) H, F2=1000/(√3tg50°+1) H.
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  9. 1/2+π²/12-1/2=π²/12
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  10. 🩴🩴🩴
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  11. 4xcos-²ysiny=0[x=0,y=πn.✓
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  12. -4(sinx-1/8)²+3 1/16≤3 1/16;≥-2 D)
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  13. (х+х-¹)³-3(х+х-¹)=±3√6 9*6=54
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  14. 2√((4x²+1)(9x²-1))=13x² -25/4x⁴+5x²-1=0 x=±√(2/5)
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  15. {1/(x+y)=a,1/(x-y)=b;{a=0,2,b=1; {X=3,y=2.
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  16. ​X(t)=e^(At)c
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  17. S1=50ctg²40°(2/9π-sin40°) S2=50(5/18π-sin50°) S3=50cos40°*(1-tg20°) S=100ctg²40°/9π+125/9π-50tg50°
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  18. M(P+∆P)/R/T/р(в)=m/m(в)
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  19. $-1/2sin4xdx=1/8cos4x+c
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  20. у'(х)=1,5(1+t) y''(x)=-0,75t/(t-1) y'''(x)= -0,375/(t-1)³
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  21. 4x⁶-250x³+1/128=0 x=(125/4±√999'998/32)¹/³ 128x⁵+1/256/x⁵=128((125/4±√ 999'998/32)⁵/³+(125/4-+√999'9 98/32)⁵/³)=125992
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  22. 1+1/(2+1/(7n+1)) несократимо Следовательно, исходная дробь не сократима.
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  23. (x+1)((X+5/6)³-21 7/12(x+5/6)+26 11/27)=0 x=-1,x+5/6=(-713/2+√ (713²*4²-259³)/8)¹/³/3+(..-..)..=2/3 (259/2)¹/²cos(1/3arccos(-713/259 √(2/259))+2/3πn) x=-5/6+2/3(25 9/2)¹/²cos(1/3arccos(-713/259√ (2/259))+2/3πn){-1;-5/6+2/3(259/ 2)¹/²cos(1/3arccos(-713/259√(2/ 259))+2/3πn)} 1426<259*6 3/32+2590
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  24. (log2|4-x|-4)(log2|4-x|+1)≤0 log2|4-x|[-1;4] |4-x|[0,5;16] x[-12;3,5]U[4,5;20]
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  25. х/(у+2)-(х-2)/(у+2)=2/(у+2)
    1
  26. S∆=0,5*5*3√2*sin(135°-arcsin(4/5))=10,5(cm²)
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  27. Cos(π(cos²x-1))*π=π
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  28. a+b-h=c (b-a)²+h²=(a+b-h)² 2ba/(a +b)=h{21=a,28=b;S=(21+28)ba/(a+ b)=588
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  29. z³=1 z=1;-0,5±√3/2i
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  30. (2r)²+1,75²=6,25² r=±3{3}
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  31. (m²-1)/m=√n/>×
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  32. sin¹/³(x/8)=u x=8arcsinu³ dx=24u²/√(1-u⁶)du $(48u⁷cos(2/3arcsinu³)- 24u⁴(2√(1-u⁶)-1/√(1-u⁶))sin(2/3arcsi nu³))du
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  33. ±13 56=4*14 (9;5) ±5{±13;±5}
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  34. (1/x+4)(1/x³-5*1/x+20)=0 x=-1/4
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  35. n(a/n)²=a²/n✓
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  36. P(x)=a(x-1)(x³+bx²+cx+d){3/a-8- 4b-2c=d,-1,5/a-19-5b=c; P'(x)=4a(x³+(3b-3)/4x²+(-0,75/a- 9,5-3b)x+15/8/a+49/4+11/4b)=4 a(x-2)(x-3)(x-f) +*2-*f+*3->x,a<0,{-9=b,a=-3/4;(x-2)(x-3)(x-2,5)✓ P(x)=-3/4(x-1)(x³-9x²+28x-32) P(6)=-3*5(7)=-105
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  37. ∆t=1,853*34,7/58,5=1,099K
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  38. 3R(1+√2)=6√2 R=2(2-√2)m S=36-20π(6-4√2)m²
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  39. (1 -200 100;-200 199 0;-200 200 1)
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  40. Tg³x*sin²0,5x(6)/x⁵=1,5
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  41. (2^x-1/3)³-1/3*(2^x-1/3)-2/27-48=0 x=log2(1/3+(649+180√13)¹/³/3+(..-..)..){2}
    1
  42. ma=-2Gxb, где b - поперечная длина струны T=2π√(plb/2/G)
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  43. (AB+CQ)/2*BQ=25*50=1250
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  44. y/x=z y=xz y'=z+xz' (π/2z-zarctgz+0,5ln|1+z²|)'+1/x(π/2z-zarctgz+0,5ln(1+z²)) =2lnx/x $-arctgxdx=-xarctgx+0,5ln(1+x²) π/2z-z arctgz+0,5ln|1+z²|=w w=x-¹c+2xlnx-2x π/2y/x-y/xarctg(y/x)+0,5ln|1+y²/x²|=cx-¹+ 2xlnx-2x
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  45. e^(-π/2-2πn)(π/2+2πm)=o
    1
  46. 1112²-4*1112+4=1110² 1110✓
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  47. х¹/³=1;-3/2 х=1;-27/8
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  48. (14/9√15+6)¹/³+(-14/9√15+6)¹/³=2 2+4 1/36/12-0,3~2 5/3,14/9√14✓ 2⁸/8+8/2⁸=32 1/32
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  49. [x=2πn,y=2πm,y=-x+2πk.✓
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  50. x=(k²±(k²-4))/2[x=k²-2,x=2.
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  51. z=0;cos(πn/5)+isin(πn/5),n=0;..;9
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  52. 2/a=(a²+15)/a/16 √17=a x=√(16+17-2*4√17*-2/√17)=7
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  53. (х-1)²/2(1;4)-(х-1)²/2(-3;1)=4,5+8= 12,5
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  54. 3/4а+а+4/3а=5 а=60/37 S=3600/1369
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  55. А почему у Вас р странное?
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  56. h=8a/(3a-4) 30=8a³/(3a-4)²-8a²/(3a-4)-8a⁴/(3a-4)² (a+0,5)⁴+113/4(a+0,5)²-118,75(a+0,5)+112 1/4=0 z³+113/8z²+(113²/64 -449)/16z-118,75²/64=0 z=-113/24+√252205*sin(-atan(9√188814162840609/27352286)/3+π/6)/48;-113/24+√252205*sin(atan(9 √188814162840609/27352286)/3 +π/6)/48;-√252205*cos(atan(9√ 188814162840609/27352286)/3)/48-113/24 а+0,5=×
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  57. I=eSnv,где n- концентрация электронов, v - их скорость
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  58. 1/2=A,B=2,C=-1,D=π/4
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  59. (5+3cos40°)/sin40°
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  60. x=(-47+80√5)¹/³=-0,5+2,5√5
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  61. ab=2a+3,5b+0,5(a-7)(b-4)+70 ab=168
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  62. $(0;∞)3ch2x/ch3xdx=3ln|e^2x-√3e^x+1|(0;∞)=∞-3ln|2-√3|=∞ 3e^4x+3=A(2e^5x-2e^3x+2e^x)+B(e^4x-e^ 2x+1)+C(2e^5x+√3e^4x+e^3x-e^x-√3)+D(e^4x-√3e^3x+2e^2x-√3e^x+1)+E(2e^5x-√3e^4x+e^3x-e^x+√3)+F(e^4x-√3e^3x+2e^2x-√3e^x+1) 2u⁵+√3u⁴+u³-u-√3 u⁴-√3u³+2u²-√3u+1 (2u+√3)(u²+1)(u²-√3u+1)=2u⁵-√3u⁴+u³-u+ √3 (u²+1)(u²-√3u+1)=u⁴-√3u³+2u²-√3u+1 {A=0,B=3,C=0,D=-F,E=0;
    1
  63. 3/√40*20=3√10(см)
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  64. -tg²x+3tgx-2=0 tgx=(-3±1)/-2=1;2 x=π/4+πn;arctg2+πn
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  65. √3R²-0,5πR²=(√3-0,5π)R²
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  66. +*0->x 1+1,5^x*log2(3)-2^x*2+3^x*log2(6)-4,5^x*log2(9),x[-0,8;-0,5] -2ln2*1,5^x(-log(2)1,5*log2(3)/2+(4/ 3)^x)=0+*->x{0}
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  67. $1/12dt(1/(t+0,2)-1/(t+5))=1/12(ln|t+0,2|-ln|t+5|)+c=1/12(ln|tg(x/2)+0,2| -ln|tg(x/2)+5|)+c
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  68. Кстати, мужской род главный в прилагательных и причастиях.
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  69. b-W(a^blna)/lna=x,{a(0;1),b<loga(-1/e/lna);=> 2 корня,1 из которых функция Ламберта
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  70. (2+2)!+2-2+2=26
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  71. x=2^(5log6(3))
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  72. √5-√4=√5-2✓
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  73. 5-²/-2-4-²/-2=9/800
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  74. 6+х²=(12-4√х)/(2+х⁴)≥6,х≥1/9 -√х≥1,5х⁴≥0 х0,⁵≤0,х=0 6=12/2✓{0}
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  75. S=9*15-3*6/2+9*6/2=135-9+27=153
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  76. (√5-√3)⁶=1792-494√15 3584✓
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  77. 11/18R,11/18r r=7/11R R/√(R²+32 4)=1/18R R=0× R=3√(18±√203)≥5,5 7*2 5/9+23²/36²>7✓ S=99
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  78. }x≤1,-63,5=x;{-63,5}
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  79. n=±√(m²+6m),m=0;-6 n=0 m[-8;2] m=-8,n=±4 m=2,n=±4{(2;4)}
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  80. h=ab/√(a²+b²) ..=a²/√(a²+b²) (a²/√ (a²+b²)-1)²+a²b²/(a²+b²)=16,(b²/√ (a²+b²)+1)²+a²b²/(a²+b²)=16 A²/√(a²+b²)-1=±(b²/√(a²+b²)+1) [(A²-b²)/√{a²+b²)=2,√(a²+b²)=0; a⁴-a²(2b²+4)+b⁴-4b²=0 a²=b²+2±2√(2b²+1)≥0 -=>b{0}U[2;∞) 2(√(2b²+1)-+1)b²+ b⁶+22b⁴+11b²+16±(5b⁴+25b²+16)√(2b²+1)=0 [b⁶+22b⁴+9b²+16+(5b⁴+27b²+16)√(2b²+1)=0×,b¹⁰-6b⁸+25b⁶-1004b⁴-1288b²-832=0;b=3,44≥0 a=1,97 S∆=0,5*3,44*1,97=3,39
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  81. х²=а(а+10) а=-5+√(х²+25) х/(2,5 +0,5√(х²+25))=х/√(х²+25) 0=х
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  82. x=21,36;18,64 E=40
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  83. arcsin(3/5)=/_C
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  84. m=2^m1,n=2^n1 (m1*2^m1+n1*2^n1)/2^(n1+m1)= 7/2^2,5{m1=2-n1,n1=0,5;1,5.(2^1+1)/(2¹-1)=3 (2-¹+1)/(2-¹-1)=-3 C)
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  85. c=3b/a-a-b=a(a²-2a+6)/(-a²-a+3) 3a²/(-a²-a+3)=b A=1 b=3,c=5 abc=15
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  86. X²+x+1 arctg((x+0,5)/√3*2)/√3*2+c
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  87. V=π(√3/6*4)²√3=4/3π√3 A)
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  88. 5х⁴-209=0 х=±41,8¹/⁴+*-*+>х max=167,2*41,8¹/⁴+56>0 min=-167,2*41,8¹/⁴+56<0 3 решения х=3,74;0,27;-3,87 E~0,14
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  89. S1=8/√3 a=√(64/3-32/√3) S2=16√3/3-8 S=8√3-8
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  90. x¹/³=u x=u³ dz=3u²du $(0;∞)3u³/(1+u²)/(u²-√3u+1)/(u²+√3u+1)du=-0,5ln|1+u²|+0,25ln|u²-√3u+1|+0,25√3arctg((u-√3/2)/0,5)/0,5+0,25ln|u²+√3u+1|-0,25√3arctg ((u+√3/2)/0,5)/0,5(0;∞)=-∞+∞+∞+√3* π/3=-∞ 3u³=A(2u⁵-2u³+2u)+B(u⁴-u²+1)+C(2u⁵+√3 u⁴+u³-u-√3)+D(u⁴+√3u³+2u²+√3u+1)+E (2u⁵-√3u⁴+u³-u+√3)+F(u⁴-√3u³+2u²-√3u+1) {A=-0,5, B=0, C=0,25,D=0,25√3, E=0,25, F=-0,25√3;
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  91. {z=40-xy,[y=27/5,y=3;x=(y+21)/(y-1);{(6;27/5;38/5)(12;3;4)}
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  92. (y-¹)'+y-¹(e^x*e^e^x -(-e^x)*e^-e^x)=-e^(-e ^e^x+e^-e^x) y-¹=e^(-e^e^x+e^-e^x)c-x y=1/(ce^(-e^e^x+e^-e^x)-x)
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  93. (-3/2±3√3/2i)³=27(-1±0)=-27
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  94. (2√10-√(R²-a²/4))²+(2√10-a/2)²=R² R=a/√2,a≤0 (-√10+a/2)²+(-√10+√ (R²-a²/4))²=20-6√5R+R²=R² R=2/3√5
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  95. 2$(0;π)sin²⁵xsin(17x)dx=0
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  96. 1500/230=6,52
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  97. {ab=22,a²+b²=100;{a+b=12, a-b=±√56;{(6±√14;6-+√14)}r=1
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  98. 0,6*3,5+7,3/2*0,4+1,9*0,6=4,7
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  99. √3/5=h/(2+h√3/9) 3√3/7=h X=3
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  100. $dx*(4/(cos2x-1)²+1/sin²x+1/cos² x)=-1/3cosx*(sinx)-³+2/3/sin2x+ 1/6En=0;∞C(-0,5;n)(-1)^n(cosx)^ (2n-1)/(n-0,5)-2ctgx+tgx+c cos²x=u,x=±arccos√u,dx=-+0,5/√(u-u²)du
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  101. 9,47/28*9,19/28*9,17/28*9,-99/28 35/9,28/9,56/9 S=-99/4(cm²)
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  102. 2:3*b√(0,5sin²_b:sin²(_a+_b)+0,5-0,2 5sin²_a:sin²(_a+_b)),2:3b√(0,5+0,5sin²_a:sin²(_a+_b)-0,25sin²_b:sin²(_a+_b)) h=S∆*2/b=b√((1/3√(0,5sin²_b:sin²(_a+_b)+0,5-0,25sin²_a:sin²(_a+_b))+1/3√(0,5+0,5sin²_a:sin²(_a+_ b)-0,25sin²_b:sin²(_a+_b))+1/2)(-1/3√(0,5sin²_b: sin²(_a+_b)+0,5-0,25sin²_a:sin²(_a+ b))+1/3√(0,5+0,5sin²_a:sin²(_a+ b)-0,25sin²_b:sin²(_a+_b))+1/2)(1/3√(0,5sin²_b: sin²(_a+_b)+0,5-0,25sin²_a:sin²(_a+ b))-1/3√(0,5+0,5sin²_a:sin²(_a+ b)-0,25sin²_b:sin²(_a+_b))+1/2)(1/3√(0,5sin²_b: sin²(_a+_b)+0,5-0,25sin²_a:sin²(_a+ b))+1/3√(0,5+0,5sin²_a:sin²(_a+ b)-0,25sin²_b:sin²(_a+_b))-1/2))*2
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  103. X≥0 0<1,≠>0 E! ±x-(√3-√2)^x=0 ±1-(√3-√2)^xln(√3-√2)=0 +×,x=log(√3-√2)(log(√3+√2)e),-✓ +>x+*->x max=log(√3+√2)(log(√3+√ 2)e/e)<0 x=0,53✓
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  104. $(0;1)xarcsinxdx=x²/2arcsinx+0,25 (-arcsinx+x√(1-x²))(0;1)=π/4+0,25(- π/2)=π/8
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  105. X≥1 x(x+1)=56 x=-0,5±7,5 x=7;-8{7}
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  106. S=11*14*0,5-7*4=49
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  107. X≥0 x⁴-9x²+3²*2=0 x²=(9±3)/2=6;3 x=√6;√3
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  108. {[x=πn,x=-arctg2,5+πn;[x≠-π/4+πm, x≠0,5π+πm;{πn;-arctg2,5+πn}
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  109. S∆=27/2+20-49/2=9
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  110. 9..9 m=2+17m1× 15=9+6 9799,9800
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  111. 4:00 Вестник бкри разоблачил миф о ''самоварах''.
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  112. y=-1-2/(x-²*c-1)
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  113. x,y>0 x=-y²/(y-1)
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  114. -(sin80°-sin40°)/sin20°=-2cos60°sin20°/sin20°=-2*0,5=-1
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  115. 1/120-1/12cos2x+5cos²2x/24=0 cos2x=(1±√3/2)/5 x=±1/2arccos(1/5±√3/10)+πn
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  116. x²-|3x-2|≥0 [x≥2/3,(x-1)(x-2)≥0+*+>x;{x<2/3,(x+1,5-√4,25)(x+1,5+√4,25)≥0+* +>x;[{x≥2/3,x(-∞;1]U[2;∞);{x<2/3,x(-∞;-1, 5-√4,25]U[-1,5+√4,25;∞);[x[2/3;1]U[2;∞),x (-∞;-1,5-√4,25]U[-1,5+√4,25;2/3);x(-∞;-1,5-√4,25]U[-1,5+√4,25;1]U[2;∞)
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  117. 0+3+..+3n-3=(3n-3)/2*n
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  118. (1 logx(y) logx(z))²=(3 4logx(y) 5logx(z)) (logy(x) 2 logy(z)). (4logy(x) 6 6logy(z)) (logz(x) logz(y) 3). (5logz(x) 6logz(y) 11) adjA²=(30 -14logx(y) -6logx(z)) (-14logy(x) 8 2logy(z)) (-6logz(x) 2logz(y) 2) adjagjA²=(12 16logx(y) 20logx(z)) (16logy(x) 24 24logy(z)) (20logz(x) 24logz(y) 44) |adjagjA²|=12*24*44+16*24*20+20*16*2 4-20*24*20-16²*44-12*24*24=24*480-11264=256
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  119. {x-y=2,x+y=1,5;(1,75;-0,25)
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  120. Ну не знаю, может быть.
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  121. (2x+y/(1+x²y²))/dy=(-x/(1+x²y²)+2y)/dx (1-x²y²)/(1+x²y²)²=(-1+x²y ²)/(1+x²y²)² ±x-¹=y✓
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  122. xe^(2x)x'(t)=te^-t xe^(2x)/2-e^(2x)/4 +c=-te^-t-e^-t e^(2x)(x/2-1/4)+(t+1)e^-t+c=0
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  123. (y+y-¹)y'(o)=sino*o y²/2+ln|y|=-ocos o+sino+c y²/2+ln|y|+ocoso-sino-c= 0
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  124. y'(t)/cos²y=2t tgy=t²+c y=arctg(t²+c)+πn π/4=atctgc+πn {c=1,n=0;y=arctg(t²+1)
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  125. y'e^2y=8x³ e^2y/2=2x⁴+c y=0,5ln(4x⁴+2c) 0=0,5ln(4+2c) c=e/2-2 y=0,5ln(4x⁴+e-4)
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  126. M(x,y)/dy=(-cos-²y+xy-¹)/dx M(x,y)'(y)=y-¹ M(x,y)=ln|y|+c c не зависит от у (-tgy+xln|y|)'-2x-¹(-tgy +xlny)-2x-¹tgy=c
    1
  127. (x-1/2)/(x-3)lnx<0°0-°1/2+°1-°3+>x x(0;1/2)U(1;3)
    1
  128. 3*16^(x²-16x-15 3/4)=48+24+.. 2^(4x²-64x-63)=2⁵ 4x²-64x-63=5 4x²-64x- 68=0 x=8±9=17;-1
    1
  129. 3^(1/2/x)≥9 0,5/x≥2 (x-0,25)/x≤0 x(0;0,25]
    1
  130. tg2x+sin2x=16/15ctgx,x≠π/4+πn/2,x≠πm cosx(-cos²2x-16/15cos2x+1)/cos2x/sinx =0[x=π/2+πn,cos2x=3/5,cos2x=-5/3;[x=π/2+πn,x=±1/2arccos(3/5)+πn;{π/2+πn;±1/2arccos(3/5)+πn}
    1
  131. [x²+0,5x-3=0,x²+0,5x+4=0;x≠-1/2 x=(-0,5±3,5)/2=1,5;-2✓
    1
  132. X-1/x=u x=(u+√(u²+4))/2 $(-∞;∞) e^-u²*(u²+4)-⁰,⁵u/2du+0,5√π=√π/2
    1
  133. (k+5)(K²-6k+30)=0{-5}
    1
  134. En=1;≠(1/(a-πn)+1/(a+πn))(-1)^n, a(-π;π) сходится
    1
  135. N=4 P(x)=a0x⁴+..+a3x+a4 a0(a0x⁴+..+a3x+a4-1)⁴+..+a3(a0x⁴+..+a3x+a4- 1)+a4=x¹⁶+1{a0=1,a1=0,a2=0,a3=0,[a4=1,a4=0;P(x)=x⁴+1;x⁴ P(2)=17;16
    1
  136. a²+2b(2b-3c)/(3c+1)a+(3c-1)(2b+ 1)+2b(2b+1)/(3c+1)=0 a=-b(2b-3c)/(3c+1)±√((2b²-3cb)²-(2b+1)(2b+9c² 1)(3c+1))/(3c+1) (3c+1)(2b+1)=( 2b²+3cb+3c+1±√((2b²-3cb)²-(2b+1)(2b+9c²-1)(3c+1)))(-1+(2b+1)(-1/(3 c+1)+2)) max=12
    1
  137. a=arccos(1-1/R) x=0,5arccos(1-1/R)R²-0,5√(2R-1)(R-1) x=(2R-1)²π/4-0, 5(π-arccos(1-1/R))R²-0,5√(2R-1)(R-1) 0=2R²-4R+1 R=1+√2/2 S=1*(2R-1)=1+√2
    1
  138. ​z=-16/17n+4ni/17
    1
  139. n:2,a=b=1,1+2c=2n1²×
    1
  140. BC=AB√3 DH=AB√3/(ctg15°+ctg 30°)=AB(3-√3)/4 HF=(AB/2-DH)√3 *2=AB(-√3+3)/2 HF=2DH SDEFH=AB²(3-√3)2/8=24-12√3
    1
  141. e^x^(1/(x-1))=y
    1
  142. tg36°/sino=√5/sin(126°-o) arctg(√(2-2√5/5)/(1+√5))=o{18°} 48+22√5≠-2√5/5 0,32..=18,24° √(2-0,4√5)/(1+√5)
    1
  143. А почему Вы полысели?
    1
  144. $(1;e)lnu*udu=u²/2lnu-u²/4(1;e)=e²/4+1/4
    1
  145. 4x/(x²-4)=8/(6-x) 0=3x²-6x-8 x=(3+√33)/3
    1
  146. xln|sinx|-$ln|sinx|dx(0;π/2)=-0*-∞- tgxln²|sinx|/2+..(0;π/2)=0
    1
  147. Y'√(1-y²)=±y'' x/2+c1=$dy/(arcsiny+ y√(1-y²)+2c)
    1
  148. √(208+16√(144-x²)) √(104+8√(144-x²)) 104+8√(144-x²)+8²-2√(104+8√(144-x²))*8cos(45°+ arccos((8+√(144-x²))/√(208+16√(1 44-x²)))=12² x=5
    1
  149. x=cos(π/4+πn/2)+isin(π/4+πn/2)
    1
  150. r/(√12-r)=2/4 r=2/3√3 V=4/3π(2/3√3)³=32π/27√3
    1
  151. {y=2,x=±0,5;x²+y²=4,25
    1
  152. 16*38,5/π=196 28/157cm²
    1
  153. Это окно Овертона в действии.
    1
  154. (log2(x)-3)(log2(x)+3)/(log2(x)-5) ²≥0 °0+*1/8-*8+°32+>x x(0;1/8]U[8;32)U(32;∞)
    1
  155. -a²+8a-13[3;√23] {a=4,a²-8a+13+√23≥0; a=4 cos(8x+9)=-1 x=1/8π+1/4πn-9/8
    1
  156. x²-5x+6=0 x=(5±√1)/2{3;2}
    1
  157. (x⁴-0,5x)²+0,75(x-2/3)²+2/3>0✓
    1
  158. x=±√3
    1
  159. √(5A)-A/5,√(5A) 5A-√5/5A¹,⁵=A 4√5=A⁰,⁵ A=80
    1
  160. 0,5DC/sino/sin(-3o+150°)=DC/sin(2o) 3o-60°=±o+2πn[o=30°+πn, o=15°+π/2n;o(0;50°) o=30°;15°A)
    1
  161. Нет а,б,в,г,е,з,ы. (р)(но)(но)(нр)(о) Я не знаю такого слова.
    1
  162. a²/√(a²+400)=9 a²=225,a=15 S=15*20=300
    1
  163. {a+b=arctg7+πn,a-b=arctg5+πm;{a=0,5arctg7+0,5arctg5+π(n+m)/2, b=0,5arctg7-0,5arctg5+π(n-m)/2.
    1
  164. х^х=2^2048=256^256 х=256
    1
  165. 22'000-419b²+b⁴=162b√(250-b²) b[0;8],b=5 a=15 S=a²=225✓
    1
  166. A(1;4),B(xB;5-xB),C(xC;7xC-3)(xB-1)²+(1-xB)2=(xC-1)²+(7xC-7)² xB=±5(xC-1)+1 10=1,6(xB-1)² xB=1±2,5=3,5;-1,5 xC=1,5;0,5;0,5;1,5 y=(7xC-8+xB)/(xC-xB)(x-xB)+yB=-3x +12;1/3x+2 5/6;-3x+2;1/3x+7
    1
  167. ln(x+2)/ln(2-x)*ln(3-x)/ln(x+3)≤0 x>-2,<2,<3,>-3 x)-2;2) x=-1;2,x≠1;-2 °-2-*-1+°1-*°2>x x(-2;-1]U(1;2)
    1
  168. (|x|-1-√24)/x²≤0+-1-√24*-°0-*1+√2 4+>x x[-1-√24;0)U(0;1+√24]
    1
  169. log2(x)√((log2(x)-2)/log2(x))≤√2 [{x≥1,x≤2^(1+√3);x(0;1);x(0;2^(1+√3)]
    1
  170. x√(3-3x²)≥-x²+x+0,5,x[-1;1][x[-1;0,5-√0,75]; x[-1;0,5-√3/2](z-9/64)³-9/256(z-9/64)-9/2¹²=0 z-9/64=(9/2¹³+3√-3/2¹³)¹/³+...=√ 3/8cos(π/9+2/3πn) z=9/64+√3/8 cos(π/9+2/3πn) y=√(9+8√3cos(π/9))/8+√(9+8√3cos(7/9π))/8-√(9+8 √3cos(13/9π))/8;√(9+8√3cos(π/9))/8-√(9+8√3cos(7/9π))/8+√(9+8 √3cos(13/9π))/8;-√(9+8√3cos(π/9))/8+√(9+8√3cos(7/9π))/8+√(9+8 √3cos(13/9π))/8;-√(9+8√3cos(π/9))/8-√(9+8√3cos(7/9π))/8-√(9+8 √3cos(13/9π))/8 x=1/8+√(9+8√3cos(π/9))/8+√(9+8 √3cos(7/9π))/8-√(9+8√3cos(13/ 9π))/8;1/8+√(9+8√3cos(π/9))/8-√ (9+8√3cos(7/9π))/8+√(9+8√3cos (13/9π))/8;1/8-√(9+8√3cos(π/9))/8+√(9+8√3cos(7/9π))/8+√(9+8√3c os(13/9π))/8;1/8-√(9+8√3cos(π/9))/8-√(9+8√3cos(7/9π))/8-√(9+8 √3cos(13/9π))/8
    1
  171. √(a²-9)+a=6 a[3;6] a²-9=a²-12a+36 a=15/4 {a1²+b²+14/25a1b=36,c1=a1*2/√5 ±√(225/16-a1²/5),c2=-a1+c1*4/√5, c3=1,2a1/√5±√(225/16-a1²/5)*8/5 ±(-4/5/√5a1±3/5√(225/16-a1²/5)), b=0,48a1±√(225/16-a1²/5)*16/5/√ 5±(-8/25a1±6/5/√5√(225/16-a1²/5))±√(225/16-(1,2a1/√5±√(225/16- a1²/5)*8/5±(-4/5/√5a1±3/5√(225/ 16-a1²/5)))²/5),a=0,5arccos(3/5); a1=15/4,b=15/4 c3 c -,c1 c + (15/4=6,15×;3,75✓) c1=3√5(+) R=15/4/2/√(1/5)=15/8√5
    1
  172. (1+Ae^(-kt))-²Ae^(-kt)*k
    1
  173. А почему выговаривает так странно р?
    1
  174. √(120+49)=13 b²-24b+119=0 b=12±5=7;17 EB=5√2 EA=√(289-120)=13 B)
    1
  175. 0,0223=E✓
    1
  176. 0,5/sin70°,0,5/cos20° x=80°✓
    1
  177. а=9/4✓ х=(3±√(9-4а))/2 √(9-4a)/2 (0,5;1,5] 9-4a(1;9],a[0;2) a[0;2)U{9/4}
    1
  178. 103/2+3*9,5=51,5+28,5=80
    1
  179. En=1;∞(-1)^(n-1)/2/n(lnx|∞+ Em=1;°(-n)^mx^(2m)/2/m/m!(=))=∞
    1
  180. X(-∞;-1]U[0;1] 0=-x²-x+1 x=(-1±√5)/2{(-1+√5)/2;(-1-√5(/2}
    1
  181. 66(tg2a-tga)=55 (tga+5/18)³+83/108(tga+5/18)-3115/18²/9=0 tga=-5/18+(3115+√(3115²+83³))¹/³/18+(..-..)..=1/2 132/sin(3a)*sina= 60
    1
  182. X=1+3(n-1) (-1+3n)/2*n=1717 n=1/6+203/6=34{100}
    1
  183. 4x²-2x-56=0 x=(1±15)/4=4;-3,5✓
    1
  184. √29/√π S=π*29/π•0,5=14,5✓
    1
  185. Y=x±4√(x+c/8)✓
    1
  186. tgx=tg(π/2-x-1) x=π/4-0,5+πn/2
    1
  187. x²+4x-4=0 x=-2±√8 (x-2)((x-1)²+(x-1)+3)=0 x=2 1 7/8<2
    1
  188. (x-2)!=2(x+1) x-2=4,x=6 4!=14×
    1
  189. X²-x-1 ax¹⁷+bx¹⁶+1=(2584a+1597b)x+1597a+987b+1=0 {a=-1597,b=2584.
    1
  190. limn->∞((4n/e)/n)=4/e
    1
  191. (1+√(0,5√17+0,5)+i√(0,5√17-0,5))/2
    1
  192. √40/(4/3√3+6)=(-2√30+9√10)/23
    1
  193. {b=(5-ax)/y,y=(10-ax²)/(5-ax), x=(6a²+6 15a+300)(7a-15)/a/(101a³-564a²+595a+ 75),[a=0,a=-205,12,a=-50,6,a=-1,76,a=-0,49, a=4,63*10-⁵,a=2,14; {(-205,12;2,29;-0,001; 2,09)(-50,6;2,90;0,0077;1,86)(-1,76;3,91; 3,63;2,91)(-0,49;2,50;-0,0094;2)(4,63*10-⁵; -5,43*10-⁵;-1295515,49;-1195'833,26)(2,14;2,37;0,063;2,05)} ax⁵+by⁵=91,32;64, 56;-293,38;80;3,02*10²⁶;85,81
    1
  194. X=(17/2±13/2)/10=1,5;0,2
    1
  195. 2R2-4R+4=100 R²-2R-48=0 R=1±7=8 S=16π-24
    1
  196. -3b/2+1±√(-3/4b²+b) 1,5±(-3/4b²+b)-⁰,⁵(-3/4b+1/2)=0 0=b²-1 1/3b+1/9 b=2/3±√3/3 +*2/3-√3/3->b*2/3+√3/3+>b max=2√3/3 min=-1/8 min=-2√3/3 max=1 2/3 [-2√3/3;5/3]
    1
  197. 5-a²+1+2√(5-a²)a/√5=5 0=2,25a⁴-7,5a²+1,25,a[1;√5] a=√((5+√20)/3) S∆=(5+√5)/6
    1
  198. (1;2)(2;1) х²(у-1)+ху²-у²-1=0 х=(-у²±√(у⁴+4у³-4у²+4у-4))/2/(у-1) (у²+2y-4)²+20у-20=n² {0≤(y-4-9,5)(y-4+√9,5),0≤(y+6-√50,5)(y+6+√50, 5);y(-∞;-6-√50,5]U[4+√9,5;∞) y[-13;7] y=2,n=6 y=-5,n=1 x=(-4±6)/2=1;-5 x=(-25±1)/-12=2;×{(-5;2)(2;-5)}
    1
  199. y+1/2±√(8y+1)/2=x y≥0, y=(n²-n)/2, x=(n²+n)/2;(n²-3n+2)/2,nZ
    1
  200. x+1=±x;±xi x=-0,5;-0,5-+i/2
    1
  201. x=2^log(6√3)3
    1
  202. 3log(1/3)8=x
    1
  203. $(2,5/(x-2)²+0,25/x-0,25/(x-2))dx= -2,5(x-2)-¹+0,25ln|x|-0,25ln|x-2|+c
    1
  204. √(х+8)=8 х=56✓
    1
  205. (kx-1)/(x+k)=y dx/(1+x²)?dy/(1+y²) =dx/(x²+1)✓
    1
  206. Li3(-e)+Li3(-1/e)+2n(3)-1/2=° -e^(2n-1)((12n²-6n+1)/(2n-1)³+1-e)/8/n³
    1
  207. (-x²+2x-5)e^-x+(-2x+2)e^-x-2e^-x+c
    1
  208. А только мне в детстве казалось, что Соболь и Собчак одно и то же лицо?
    1
  209. (81/35x-36/7)/(x-1)=2 x=10
    1
  210. En=1;∞1/5/n²(e^(-15n)-e^(-10n))
    1
  211. $sin(x-π/4)/cos(x-π/4)dx=-ln|cos(x- π/4)|+c
    1
  212. Решений нет.
    1
  213. (2,5+a)²+(a/2)²=5² -18,75+5a+1,25a²=0 a=-2±√19≥0 a=-2+√19 S=23-4√19
    1
  214. 5√10/2=R
    1
  215. |(2x-3)²-36| x=2,35× x0=4,5;-1,5 x=4,11✓ x=5,13✓ x:3,9|(2x1-1)²-4|:3,>3 |(2x-9)(2x+ 3)|x>5×,x=-1 11✓,x=-2 13✓{-2;-1;4;5}
    1
  216. {sin5x=1,cos2x=-1;{x=π/10+2/5πn,x=π/2+ πn. 2n=2+5m,n=5n1+1 x=π/2+2πn1
    1
  217. √(144+(12-2a)²)/3/(12-a)=(12-2a)/√(144+(12-2a)²) 6-+√18=a≤6 a=6-√18 S∆=48-2a=36+6√2
    1
  218. (R-10)²+8²=(R-8)² 25=R
    1
  219. $√(x²+x+1)/(x+1)dx-х+ln|x+1|+c √(x²+x+1)=u,x=-0,5±√(u²-0,75) dx=±(u²-0,75)-⁰,⁵udu $(±0,5(u²-0,75)⁰,⁵±0,375(u²-0,75)-⁰, ⁵)/(1-u²)du+u+0,5ln|u-1|-0,5ln|u+1|
    1
  220. (8-2a)²+(8-a)²=8² 64-48a+5a²=0 a=(24±16)/5=8×;8/5✓{64/25}
    1
  221. 12/(8*0,644)=2,33 раза
    1
  222. $(-∞;∞)f(x)(x²+4a)-⁰,⁵xdx=$(-∞;∞) f(x)dx
    1
  223. 1-1/3√3-2KE/3√3=BE=2-√3
    1
  224. (1 0|7) (0 1|3){(7;3)}
    1
  225. xe^x²+c✓
    1
  226. {2⁰,⁴⁶}
    1
  227. 1,65*7=11,55
    1
  228. 2*4/5/3=8/15
    1
  229. -2x+1≥0,x≤1/2 [x=5/3,x=-3;{-3}
    1
  230. х+2=(х-4)*2 х=10
    1
  231. l~√(2Rh)=√(2*6370*5,642)=268,155км Чёрное море можно увидеть (110<268,155), Каспийское - нет(400>268,155).
    1
  232. x=2023/2/(2023/2024)=1012
    1
  233. √(а²+1),а(2+√3)-1 а²(-3-2√3)+(2+√3)а+2=0 а=(√3+(2√3-3)√(31+20√3))/6 arctg(√(-30+48√3+(12-6√3)√(31+20√3))/12)
    1