Question: Let vec ( v ) = ( : x 3 c o s z , 3 - 3 x 2 y c o s z

Let vec(v)=(:x3cosz,3-3x2ycosz-3yz2sinx,z3sinx:) be the velocity field of a fluid. Compute the flux of vec(v) across the surface x2+y+z2=1 where y>0 and the surface is oriented away from the origin.
Hint: Use the Divergence Theorem.
Let vec ( v ) = ( : x 3 c o s z , 3 - 3 x 2 y c o

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