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tdabboud Group Title

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

  • 3 years ago
  • 3 years ago

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  1. dipankarstudy Group Title
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    take \[x=rcos \phi \cos \theta, y=r \cos \phi \sin \theta, z=rcos \theta\]

    • 3 years ago
  2. tdabboud Group Title
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    and you plug those into the integral but what are the bounds

    • 3 years ago
  3. dipankarstudy Group Title
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    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

    • 3 years ago
  4. dipankarstudy Group Title
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    please check it....

    • 3 years ago
  5. tdabboud Group Title
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    okay I am working it right now

    • 3 years ago
  6. sweetznchillz Group Title
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    i cant understand

    • 3 years ago
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