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find the average value f(x,y,z) = xyz over the spherical region x^2 _ y^2 + z^2 <=1
 2 years ago
 2 years ago
find the average value f(x,y,z) = xyz over the spherical region x^2 _ y^2 + z^2 <=1
 2 years ago
 2 years ago

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dipankarstudyBest ResponseYou've already chosen the best response.0
take \[x=rcos \phi \cos \theta, y=r \cos \phi \sin \theta, z=rcos \theta\]
 2 years ago

tdabboudBest ResponseYou've already chosen the best response.0
and you plug those into the integral but what are the bounds
 2 years ago

dipankarstudyBest ResponseYou've already chosen the best response.0
then \[f _{avg}=3/(4\pi)\int\limits_{r=0}^{1}\int\limits_{\theta=0}^{\pi}\int\limits_{\phi=0}^{2\pi}r ^{3}\sin ^{2}\theta \cos \theta \sin \phi \cos \phi drd \theta d \phi\] probably this will give you 0
 2 years ago

dipankarstudyBest ResponseYou've already chosen the best response.0
please check it....
 2 years ago

tdabboudBest ResponseYou've already chosen the best response.0
okay I am working it right now
 2 years ago

sweetznchillzBest ResponseYou've already chosen the best response.0
i cant understand
 2 years ago
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