Comments by "Fhf Fhf" (@fhffhff) on "Ходорковский LIVE" channel.

  1. Не восторжествует. По крайней мере, в нашей жизни.
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  2. b<c<1 a>c>b 35.A) x¹,² C)
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  3. $(0;∞)sin(2ln²x)/(1+x)/ln²xdx=$(- ∞;∞)En=1;∞(-1)^(n-1)/(2n-1)!2^(2 n-2)u^(4n-4)du=En=1;∞(-1)^(n-1)/(2n-1)!*2^(-0,5)(2u²)^(2n-1,5)/(2n-1, 5)|∞ сходится
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  4. x=(-5y±√(9y²+76))/2 y[-12;12] y=±6✓ x=(-30±20)/2=-5;-25;25;5
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  5. S=π/2-2o
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  6. $dx*(2(2-x²)-⁰,⁵x-√(2-x²)x)=-2(2-x²)⁰,⁵+(2-x²)¹,⁵/3+c
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  7. 1/32(17+14cos4x+(cos4x)²)=17/32 cos4x(cos4x+14)=0 x=π/8+πn/4✓
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  8. {x⁴-1/4x²-1/16=0,y=1/4/x; x=±√(2+2√5)/4,y=±√(-2+2√5)/4 {(√(2+2√5)/4;√(-2+2√5)/4)(-√(2+2√5)/4;-√(-2+2√5)/4)}
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  9. π-1=lnz+coslnz+sinlnz z=p(cosf+isinf) π-1=lnp+(coslnp+sin lnp)*chf+((coslnp-sinlnp)shf+1)i {π-1-lnp=(coslnp+sinlnp)√(1/(cos lnp-sinlnp)²+1),-1/(coslnp-sinlnp)= shf;(π-1-lnp)²(1-sin(2lnp))=(1+sin(2lnp))(2-2sin(2lnp)) lnp=-8,75;-5,5;-2,5;0,25;0,52,4;2,5;3,75;7;.. p=e^-8,75;e^-5,5;e^-2,5;e^0,25;e^0,5;e^2,4;e^2,5;e^3,75;e^7;.. f=-1/(cos 8,75+sin8,75);-1/(cos5,5+sin5,5);.. z=e^-8,75(cos(1/(cos8,75+sin8,7 5))+isin(-1/(cos8,75+sin8,75))); e^-5,5(cos(1/(cos5,5+sin5,5))+ isin(-1/(cos5,5+sin5,5));e^-2,5(..);..
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  10. (√(a²/4-x²)+a/2)²+(a/2-x)²=a² 0=2x²+xa/2-3a²/16 x=(-1+√7)/8*a a√2/2=4 a=4√2 R=2√2✓
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  11. X[0;=),(x²⁰-1025)¹/⁵=x²-5 0=(x²-2,5)⁴+25/2(x²-2,5)²-33 3/16 (x²-2,5)²=9/4 x²-2,5=±1,5 x=±1;±2{1;2}
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  12. х^3+у³=7х²+у² х³=7х²,х2(х-7)=0,{0;7} у³=у²,у²(у-1)=0,{0;1} (х-7/3)³-49/3(х-7 /3)-686/27+у³-у²=0 х-7/3=(343/27-у³/2+у ²/2+√((343/27-у³/2+у²/2)²+(-49/3)³/27))^ (1/3)+(343/27-у³/2+у²/2-у√(0,25(у+1)(-1372/27+у³-у²))^(1/3) -686/27<0,х=7/ 3+2√7/3*397^(1/6)cos(1/3arccos(49/√(7*397))+2πn/3)
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  13. 2f(x)-f((x+7)/(2x-1))=x,f((x+7)/(2x-1))-0,5f(x-2/5)=0,5(x+7)/(2x-1) f(x)=0,25f(x-2/5)+0,5x+0,125+15/8/(2x-1)=(1/4)^(5/2x)f(0)+7/90/4^ (5/2x)+7/90+2/3x+15/16(1/4^(5/2 x)/(2/5-1/2)+..+1/4/(x-2/5-1/2)+1/(x-1/2))~(1/4)^(5/2x)f(0)+7/90/4^ (5/2x)+7/90+2/3x+75/128/√2(E(ln (1/4)(5/2x-5/4))-E(5/2ln2))
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  14. a,ctg22,5° a/sin22,5°=6 a=6sin22,5° S=18-7,5√2
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  15. {x+y=a,xy=b;{b=a²-96,√(a²-96)=16-a; {A≤16,11=a;b=25 {y=11-x, x(11-x)=25;-x²+11x-25=0 x=(11±√21)/2,y=(11-+√21)/2 {(11/2±√21/2;11/2-+√21/2)}
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  16. $dx*0,25(-2x/(x²-1)+2x/(x²-3))=0,25 (-ln|x²-1|+ln|x²-3|)+c
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  17. [x=-1,x=0,0=1+x²+x⁴;{-1;0}
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  18. m(C6H12O11)=m(H2O)p/(100-p)
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  19. √(a²-b²)/a=8/(2b)=b/5 b=20⁰,⁵ 10=a S∆=√20*√80=40
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  20. {z=5-x-y,(x-5)²+(y-5)²=0;{5;5;-5}
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  21. 3x²+2(a-2)x+a-2/3=0 x=(-a+2±√(a²-7a+6))/3 a(-=;1]U[6;=) +*-*+>x max=2/27((a²-7a+6)√(a²-7 a+6)+a³-10a²+23a+13)>0 a(-=;1]U[6;=) min=2/27(-(a²-7a+6)√(a²-7 a+6)+a³-10a²+23a+13)>0 a(-10/3+(-421/2+√58057/2)¹/³/3+(..-..)..;1]U [6;°) a=1;6 a(-∞;-10/3+(-421/2+√58057/2)¹/³/3+(..-..)..);a(-=;1]U[6;=);a=1;6
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  22. (2^sin²x-2)((2^sin²x-0,5)²-2,25)=0 [sin²x=1,sin²x=1;cos2x=-1 x=π/2+πn
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  23. -2(x²+1)-⁰,⁵<0\>R
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  24. у=(CH²BH/BC²-AH²BH/AB²)/(AC-CH³/BC²-AH³/BA²)(x-AH³/BA²)+AH²BH/AB²,(AC/2;AC/2/tg/_ABC)
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  25. (a 1 0)²(a² 2a 1) (0 a 1)=(0 a² 2a) (0 0 a) (0 0 a²) (a³ 3a² 3a) (;;)^n=(a^n na^(n-1) n(n- 1)/2a^(n-2)) (0 a³ 3a²) (0 a^n na^(n-1)) (0 0 a³). (0 0 a^(n-1))
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  26. √(52-2²)=√48 S∆=0,5√48*3=6√3
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  27. 3^(x/9)-x=0 3^(x/9)/9ln3-1=0 x=9log3(9/ln3)-*+>x min=9log3(e/9 *ln3)<0 x=27;1,16
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  28. 1/2=(3-а)/а а=2{4}
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  29. f(x)'+sinxlncosx=cosxlncosx f(x)=lncosx*0,5ln|cos²x-1|+0,25En =1;∞1/n²(cosx)^(2n)
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  30. -2x²+(3-a)x+9|x|+a²-6a=0 [{x=a/2, a≥0;{x=-a+6,a≤6;{a>0,x=-a;{a<6,x=-3+a/2.
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  31. 1 1/4+1/24=1 7/24 1/8*3=3/8 2,4✓
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  32. У=ах²+bx+c y=k(x-/_a)+B ax²+(b-k) x+k/_a+c-B=0{a/_a²+b/_a+c=B,a(/_ b+/_a)+b=k;|(/_a;/_b)ax³/3-a(/_a+/_b)x²/2+(-a/_a-b/_a)x=a(-1/6/_b²-2/_b/_a/3-1/6/_a²-/_a(1+b/a))(/_b-/_a)=a/6(/_b-/_a)³ b=a(-1/3/_b²//_a-5/6/_b-1/3/_a-1) ✓
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  33. z=iarcsh(π/2+2πn)+2πm
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  34. xsinu+cosu(-∞;0)=1+∞sin-∞+cos∞ неопределенность
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  35. $dx/2/(x²-2x+4,5)=0,5arctg((x-1)/√3, 5)/√3,5+c
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  36. {х=1,5,z=5/3,y=2/5.xyz=1
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  37. a*a/√(a²+4) 4/√(a²+4)*√(a²+4)=4
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  38. (a*3^d-b*2^c)*5⁴=2^c*3^d+337[375;8113],a*3^d-b*2^c=1;..;12 c,d[2;5],b[1;9],a≤33 625-337=288=2⁵*3² a*9=b*32+1 (25;7) 1875-337=1538=2*769× 3125-337=2788=4*697× 4375-337=4038=2*3*673× 5625-337=5188=4*1297× 6875-337=6538=2*3269×{(25;7;5;2)}
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  39. X=sinu,dx=cosudu $dx/x/√(1-x²)= $du/sinu=ln|tg(u/2)|+c=ln|(1-√(1-x ²))/x|+c
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  40. 1,5√2+1,5/√2=2,25√2(см) 1,5√3(см) а,√(1,125-а²) (0,75√6-√(1,125-а²))²+(1,5√3-а)²=3² √(1,125-а²)=-√2а+√1,5/2 0=3а²-√3а+1/2 а=(√3±√3i)/6 V=(4√(√545+4)+12√(√733+27)-12√(√733-27)-√(2√745-54)+9√6-10√(2√745+54)±i(4√(√545-4)+12√(√733+27)-12√(√733-27)+11√6-√(2√745+54)+√(2√745-54))i)/384 V1=(4√(√545+4)+12√(√733+27)-12√(√733-27)-√(2√745-54)+9√6-10√(2√745+54)±i(4√(√545-4)+12√(√733+27)-12√(√733-27)+11√6-√(2√745+54)+√(2√745-54))i)/64
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  41. x²+x-y²-y-10=0 x=(-1±√(4y²+4y+41))/2 40=n²-(2y+1)²[{n=11,y=4;{..=7,..=1;{..=7,..=-2;{..=11,..=-5; x=5;3{(5;4)(3;1)}
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  42. √x^√x^√5=20 e^(x^(√5/2)*0,5lnx)* 0,5(lnx+1)x^(√5/2-1)=0,x=0;1/e-*+>x min=e^(-0,5e^(-√5/2))<1 x=20^n √5/2n=⁰,⁵,n=√5/5{20^(√5/5}}
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  43. (4^x-1)(16^x+4^x+2)=0 x=0
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  44. (-1/64)^m,√3/4(-1/64)^m,(-1/64)^m/8,-1/32(-1/64)^m,-√3/64(-1/64)^m S=(134+15√3)/65
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  45. Tg(2a)=(5+3√5sina)/(3√5cosa) 0=√5/6-sina/2-sin²a√5/3 sina=(3±7)/(-4√5)=-√5/2×;√5/5 a=arcsin(√5/5) S∆=0,5*3√5cosa(5+3√5sina)=24
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  46. (2+3cos2x-4sinx+13cosx)/(cosx-3 sinx+5)²=0 (cosx+13/12)⁴-161/72(cosx+13/12)²-26/27(cosx+13/12)+38'849/144²=0 x=arccos0,904+2πn;arccos0,334+2πn+*+*->x max=1,285 min=0,597 [0,597;1,285]
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  47. [{2≤a,y=√(8a+34)/2-√2/2, x=(1+2a-√(4a+17))/2; {a>2,y=√(-a+4,5+|a-4|)+√(-a+4,5-|a-4|),x=(-2a+1+√(-4a+17))/2;{a[4;17/4],y=√2/2-√(-8a+34)/2, x=(-2a+1-√(-4a+17))/2.|2a-8|
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  48. x=-2y±√(3y²+19) y[-5;5]×
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  49. -1/2-+√3/2i-1/2±√3/2i-1=-2
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  50. X⁰,⁵=y,x=y²,dx=2ydy $(0;=)ye^-y²*2ydy=-ye^-y²+√πФ(√2*y)(0;=)=0,5√π
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