Question: Let vec ( v ) = ( : 4 - 2 x y z - x e z c o s y , y 2

Let vec(v)=(:4-2xyz-xezcosy,y2z,ezcosy:) be the velocity field of a fluid. Compute the flux of vec(v) across the surface x+y2+z2=1 where x>0 and the surface is oriented away from the origin.
Hint: Use the Divergence Theorem.
(The answer is NOT zero)
Let vec ( v ) = ( : 4 - 2 x y z - x e z c o s y ,

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