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Math Help - Need help commputing double integral and volume

  1. #1
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    Need help commputing double integral and volume

    Hello, I am doing the practice problems for my last lecture and I don't think these types of questions were covered even though I think they were supposed to be... Could you please help.

    1) Find the volume of the solid under z=1-y2 and above z=x2...

    2) Find the volume inside the cylinder x2 + 2y2 = 8, above the plane z=y-4, and below the plane z=8-x...

    Any help is really appreciated.
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  2. #2
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    Re: Need help commputing double integral and volume

    Hey lytwynk.

    Hint: The first thing you have to do is find the region that these two objects intersect. Can you find them?
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  3. #3
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    Re: Need help commputing double integral and volume

    For 1) wont they intersect where x^2+y^2 =1? And for 2) im not really sure...
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  4. #4
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    Re: Need help commputing double integral and volume

    Hello, I am still having troubles. I can't find the region that these objects intersect in. For question one I think they will intersect over a rectangle that I think will have an cross section area of 4y*sqrt(1-y^2) but then I am having trouble integrating it. Is this even right? I really have no clue how to do this stuff.
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