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)
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  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}
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  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
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  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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