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    The divergence theorem

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    A spherical surface K is given by the equation x^2+y^2+z^2=25
    Let S be part of the spherical surface above the plane z=4

    calculate the double plane integral over S of F.n where F = y^2-xz, x^2-yz, z^2-xy and n is teh unit vector to the surface S with positive third coordinate.

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    Solution Preview

    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word ...

    Solution Summary

    The solution (4-pages) shows how the integral can be solved using a nifty trick (the divergence theorem).