Problem:
Stokes theorem
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