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Math Help - Sketch of an Interated Integral

  1. #1
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    Sketch of an Interated Integral

    I was given the following iterated integral to solve:

    Integral (from 0 to 1) Integral (from 0 to 1) (2 - (x^2) - (y^2))dydx.

    I solved the iterated integral but the question also wants us to sketch the solid whose volume is given by the iterated integral. I'm not sure how to make such a sketch. Can someone please give me a hand.

    Thanks.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by eigenvector11 View Post
    I was given the following iterated integral to solve:

    Integral (from 0 to 1) Integral (from 0 to 1) (2 - (x^2) - (y^2))dydx.

    I solved the iterated integral but the question also wants us to sketch the solid whose volume is given by the iterated integral. I'm not sure how to make such a sketch. Can someone please give me a hand.

    Thanks.
    The graph (generated in Mathematica) is attached.
    Attached Thumbnails Attached Thumbnails Sketch of an Interated Integral-mhf-integral-prob-sketch.jpg  
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