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