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May
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Feb
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Dec
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Aug
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May
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awarded  Nice Question
Apr
12
accepted Surface Integral of $xy$ over the surface $y^2+z^2=36$
Apr
12
comment Evaluating the integral $\int x\,dV$ where $V$ is the region bounded the surface $x^2+y^2+z^2=1$ and the planes $x = 0$, $y = x$, $z=0$
@ZevChonoles I think you mean phi goes from 0 to pi/2. Theta should be between 0 and pi/4 correct?
Apr
10
comment Surface Integral of $xy$ over the surface $y^2+z^2=36$
So first of all, your upper bound for x is always negative, so it should really be a lower bound. But x should never go below zero because it's in the first quadrant...
Apr
10
awarded  Critic
Apr
10
comment Surface Integral of $xy$ over the surface $y^2+z^2=36$
Oh, I think I see. The maximum value of y is when x=0. Then $0+y^2=25$, so $6\cos(\theta)=5$. Thanks for the answer, I'll get back to you after I complete the problem.
Apr
10
awarded  Commentator
Apr
10
comment Surface Integral of $xy$ over the surface $y^2+z^2=36$
I might be missing something obvious here, but how did you figure out that $\cos(\theta)\le \frac{5}{6}$?
Apr
10
revised Surface Integral of $xy$ over the surface $y^2+z^2=36$
added 4 characters in body
Apr
10
asked Surface Integral of $xy$ over the surface $y^2+z^2=36$
Mar
20
comment Proof that $\pi$ is rational
Haha, it's meant to be a joke, don't take it seriously :)
Mar
15
comment Proof that $\pi$ is rational
@PeterT.off The link is in the post.
Mar
15
accepted Proof that $\pi$ is rational
Mar
15
comment Proof that $\pi$ is rational
Ahh, I completely forgot that induction only applied for the natural numbers! Thanks!
Mar
15
asked Proof that $\pi$ is rational
Mar
9
accepted Prove $\binom{n}{2k+1}=\sum_{i=1}^n{\binom{i-1}{k}\binom{n-i}{k}}$