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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

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    https://brainmass.com/math/vector-calculus/stokes-theorem-example-problem-363291

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    Solution Summary

    Stokes theorem is applied.

    $2.19