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Math Help - double integration help

  1. #1
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    double integration help

    This region in the first octant is bounded by the coordinate planes and the paraboloid x^2+y^2+z=4. If the volume of the region is given by the double integral
    intgral from 0 to 2 integral from 0 to B (A dydx)

    What is A?
    What is B?

    I dont know how to solve this problem.

    *I attached a word doc with the integral because I dont know how to properly show integrals in forum. *

    Thanks
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Re: double integration help

    Quote Originally Posted by acasas4 View Post
    This region in the first octant is bounded by the coordinate planes and the paraboloid x^2+y^2+z=4. If the volume of the region is given by the double integral
    intgral from 0 to 2 integral from 0 to B (A dydx)

    What is A?
    What is B?

    I dont know how to solve this problem.

    *I attached a word doc with the integral because I dont know how to properly show integrals in forum. *

    Thanks
    V=\int_0^2\int_0^2z dydx

    =\int_0^2\int_0^2 (4-x^2-y^2)dydx
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