Explore BrainMass

Explore BrainMass

    The divergence theorem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please see the attached file for the fully formatted problem.

    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.

    © BrainMass Inc. brainmass.com March 4, 2021, 9:23 pm ad1c9bdddf
    https://brainmass.com/math/integrals/divergence-theorem-239437

    Attachments

    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).

    $2.49

    ADVERTISEMENT