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Math Help - Iterated Integrals

  1. #1
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    Iterated Integrals

    Compute the volume of E, given by:

    E lies under the plane z = x + y and over the region in the xy plane bounded by the curves x = \sqrt{y/2},  x=2\sqrt y, x+ y = 3.

    So after a lot of messy calculations, I get 539/240, but somehow the answer given is 91/30. I've looked through my calculations about 5 times and can't find the mistake, would appreciate it if anyone could double-check my answer. Thanks!
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  2. #2
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    Quote Originally Posted by h2osprey View Post
    Compute the volume of E, given by:

    E lies under the plane z = x + y and over the region in the xy plane bounded by the curves x = \sqrt{y/2}, x=2\sqrt y, x+ y = 3.

    So after a lot of messy calculations, I get 539/240, but somehow the answer given is 91/30. I've looked through my calculations about 5 times and can't find the mistake, would appreciate it if anyone could double-check my answer. Thanks!
    How can we check your answer which you did not write it ?
    You should show your work.
    not just the final answer !
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  3. #3
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    Nvm, got it.
    Last edited by h2osprey; January 30th 2010 at 12:34 AM.
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