# 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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## SOLUTION This solution is **FREE** courtesy of BrainMass!

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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

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