Question: F ( x , y , z ) = 3 z 2 + ( y 3 + t a n ( z ) ) j

F(x,y,z)=3z2+(y3+tan(z))j+(3x2z+2y2)k
Use the Divergence Theorem to evaluate SF*dS where S is the top half of the sphere x2+y2+z2=1 oriented upwards.
SF*dS=
F ( x , y , z ) = 3 z 2 + ( y 3 + t a n ( z ) ) j

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