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DifferentiationQuestion and Answers: Page 2

Question Number 209624    Answers: 1   Comments: 0

I=∫_0 ^( ∞) ∫_0 ^( ∞) (( 1)/(1+ x^2 +y^2 +x^2 y^2 )) dxdy=? using polar system...

I=0011+x2+y2+x2y2dxdy=?usingpolarsystem...

Question Number 209308    Answers: 1   Comments: 0

Donner l′e^ quivalence simple de I_n =∫^( 1) _( 0) (t^n /(t^n −t+1))dt

Donnerlequivalence´simpledeIn=01tntnt+1dt

Question Number 209232    Answers: 1   Comments: 0

u_0 = a, u_(n+1) = (√(u_n v_n )) v_0 = b ∈ ]0,1[ , v_(n+1) = (1/(2(u_n +v_n ))) • show that a≤u_n ≤u_(n+1) ≤v_n ≤v_(n+1) ≤b • show that v_n − u_n ≤ ((a+b)/2^n )

u0=a,un+1=unvnv0=b]0,1[,vn+1=12(un+vn)showthataunun+1vnvn+1bshowthatvnuna+b2n

Question Number 209229    Answers: 6   Comments: 2

Question Number 209228    Answers: 1   Comments: 0

Question Number 209041    Answers: 1   Comments: 2

Question Number 208976    Answers: 4   Comments: 0

Question Number 208855    Answers: 1   Comments: 0

Question Number 208553    Answers: 3   Comments: 0

Question Number 208499    Answers: 0   Comments: 0

Question Number 207954    Answers: 2   Comments: 0

x

x

Question Number 207175    Answers: 2   Comments: 0

If x^m .y^n = (x + y)^(m + n) then (d^2 y/dx^2 ) = ?

Ifxm.yn=(x+y)m+nthend2ydx2=?

Question Number 207122    Answers: 1   Comments: 0

If e^y (x + 1) = 1 then prove that (d^2 y/dx^2 ) = ((dy/dx))^2 .

Ifey(x+1)=1thenprovethatd2ydx2=(dydx)2.

Question Number 207109    Answers: 3   Comments: 0

If y = (1 + x)(1 + x^2 )(1 + x^4 ) .... (1 + x^(2n) ) then find (dy/dx) at x = 0.

Ify=(1+x)(1+x2)(1+x4)....(1+x2n)thenfinddydxatx=0.

Question Number 206882    Answers: 1   Comments: 0

f(x)=tan^2 x (√(tan x((tan x((tan x((tan x(√(...))))^(1/5) ))^(1/4) ))^(1/3) )) f ′((π/4))=?

f(x)=tan2xtanxtanxtanxtanx...543f(π4)=?

Question Number 206340    Answers: 2   Comments: 0

∫_0 ^( 1) (( ln(1−x )ln(1+x ))/x)dx = Σ_(n=1) ^∞ Ω_n find : Σ_(n=1) ^∞ n Ω_n = ?

01ln(1x)ln(1+x)xdx=n=1Ωnfind:n=1nΩn=?

Question Number 206244    Answers: 1   Comments: 0

ζ

ζ

Question Number 205827    Answers: 2   Comments: 0

x^3 +y^3 =1 find the implceat second derivative

x3+y3=1findtheimplceatsecondderivative

Question Number 205393    Answers: 0   Comments: 0

Question Number 205338    Answers: 2   Comments: 0

Question Number 205200    Answers: 1   Comments: 0

∫_1 ^∞ (x/(x^3 +lnx)) dx=?

1xx3+lnxdx=?

Question Number 205024    Answers: 0   Comments: 0

Question Number 205013    Answers: 2   Comments: 0

if y=(x)^(1/7) prove that y^′ =(1/(7 (x^6 )^(1/7) ))

ify=x7provethaty=17x67

Question Number 204909    Answers: 1   Comments: 0

Ω= ∫_(1/e) ^( e) (( arctan(x))/x) dx=?

Ω=1eearctan(x)xdx=?

Question Number 204878    Answers: 2   Comments: 0

prove that: (e)^(1/4) < ∫_0 ^( 1) e^( t^2 ) dt< ((1 + e)/2)

provethat:e4<01et2dt<1+e2

Question Number 204826    Answers: 1   Comments: 11

A rectangular enclosure is to be made against a straight wall using three lengths of fencing. The total length of the fencing available is 50m. Show that the area of the enclosure is 50x − 2x^2 , where x is the length of the sides perpendicular to the wall. Hence find the maximum area of the enclosure.

Arectangularenclosureistobemadeagainstastraightwallusingthreelengthsoffencing.Thetotallengthofthefencingavailableis50m.Showthattheareaoftheenclosureis50x2x2,wherexisthelengthofthesidesperpendiculartothewall.Hencefindthemaximumareaoftheenclosure.

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