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    jianjunzhou2008's Avatar
    jianjunzhou2008 Posts: 4, Reputation: 1
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    #1

    Dec 14, 2008, 07:27 PM
    Stokes' Theorem
    Use Stokes' Theorem to evaluate
    F(x,y,z)=(x^2)(z^2)i+(y^2)(z^2)j+xyzk, S is the part of the paraboloid z=x^2+y^2 that lies inside the cylinder x^2+y^2=4, oriented upward:confused:
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Dec 15, 2008, 09:18 AM
    Because it is oriented upward, we can parametrize S:





    Now, use those in

    Find your curl F by taking the cross product



    There's a start.

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