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All Questions Topic List |
DifferentiationQuestion and Answers: Page 2 |
Question Number 209624 Answers: 1 Comments: 0
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I=∫_0 ^( ∞) ∫_0 ^( ∞) (( 1)/(1+ x^2 +y^2 +x^2 y^2 )) dxdy=?
using polar system...
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Question Number 209308 Answers: 1 Comments: 0
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Donner l′e^ quivalence simple
de I_n =∫^( 1) _( 0) (t^n /(t^n −t+1))dt
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Question Number 209232 Answers: 1 Comments: 0
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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 )
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Question Number 209229 Answers: 6 Comments: 2
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Question Number 209228 Answers: 1 Comments: 0
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Question Number 209041 Answers: 1 Comments: 2
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Question Number 208976 Answers: 4 Comments: 0
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Question Number 208855 Answers: 1 Comments: 0
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Question Number 208553 Answers: 3 Comments: 0
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Question Number 208499 Answers: 0 Comments: 0
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Question Number 207954 Answers: 2 Comments: 0
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x
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Question Number 207175 Answers: 2 Comments: 0
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If x^m .y^n = (x + y)^(m + n) then (d^2 y/dx^2 ) = ?
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Question Number 207122 Answers: 1 Comments: 0
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If e^y (x + 1) = 1 then prove that
(d^2 y/dx^2 ) = ((dy/dx))^2 .
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Question Number 207109 Answers: 3 Comments: 0
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If y = (1 + x)(1 + x^2 )(1 + x^4 ) .... (1 + x^(2n) )
then find (dy/dx) at x = 0.
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Question Number 206882 Answers: 1 Comments: 0
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f(x)=tan^2 x (√(tan x((tan x((tan x((tan x(√(...))))^(1/5) ))^(1/4) ))^(1/3) ))
f ′((π/4))=?
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Question Number 206340 Answers: 2 Comments: 0
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∫_0 ^( 1) (( ln(1−x )ln(1+x ))/x)dx = Σ_(n=1) ^∞ Ω_n
find : Σ_(n=1) ^∞ n Ω_n = ?
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Question Number 206244 Answers: 1 Comments: 0
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ζ
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Question Number 205827 Answers: 2 Comments: 0
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x^3 +y^3 =1
find the implceat second derivative
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Question Number 205393 Answers: 0 Comments: 0
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Question Number 205338 Answers: 2 Comments: 0
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Question Number 205200 Answers: 1 Comments: 0
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∫_1 ^∞ (x/(x^3 +lnx)) dx=?
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Question Number 205024 Answers: 0 Comments: 0
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Question Number 205013 Answers: 2 Comments: 0
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if y=(x)^(1/7) prove that
y^′ =(1/(7 (x^6 )^(1/7) ))
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Question Number 204909 Answers: 1 Comments: 0
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Ω= ∫_(1/e) ^( e) (( arctan(x))/x) dx=?
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Question Number 204878 Answers: 2 Comments: 0
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prove that:
(e)^(1/4) < ∫_0 ^( 1) e^( t^2 ) dt< ((1 + e)/2)
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Question Number 204826 Answers: 1 Comments: 11
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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.
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