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takbq2
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Homework Statement
Vector field F = (2siny-cosz, 2cosx+3sinz, cosy-2sinx)
Compute the flux of F through a sphere of radius one centered at the origin with respect to the outer unit normal.
Homework Equations
Divergence theorem/Gauss's Law
The Attempt at a Solution
The only way I know how to calculate flux is to look at F and let
2siny-cosz = M
2cosx+3sinz = N
cosy-2sinx = P
then do dM/dx dN/dy dP/dz
then use the divF integral to integrate dM/dx + dN/dy + dP/dz with respect to x,y,z
But I don't understand how else to do it when their derivatives are all 0.
Thanks a lot for any help