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    Stokes theorem

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    Given the vector field F=3yi + (5-2x)j + ((z^2)-2)k find

    a) Div F
    b) Curl F
    c) The surface integral of the normal component of curl F over the open hemispherical surface (x^2)+(y^2)+(z^2)=4 above the xy plane.

    * Hint: by a double application of Stokes theorem, part c can be reduced to a triviality

    © BrainMass Inc. brainmass.com December 24, 2021, 9:17 pm ad1c9bdddf
    https://brainmass.com/math/vector-calculus/stokes-theorem-example-problem-363291

    SOLUTION This solution is FREE courtesy of BrainMass!

    Hello and thank you for posting your question to Brainmass!

    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

    There is no reason to apply Stokes theorem. The surface integral itself is not that complicated.

    I hope this helps
    Thanks again
    Yinon

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

    © BrainMass Inc. brainmass.com December 24, 2021, 9:17 pm ad1c9bdddf>
    https://brainmass.com/math/vector-calculus/stokes-theorem-example-problem-363291

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