Question: Let F ( x , y , z ) = z tan - 1 ( y 2 ) i + z 3 ln ( x

Let
F(x, y, z)= z tan-1(y2)i + z3 ln(x2+8)j + zk.
Find the flux of F across S, the part of the paraboloid
x2+ y2+ z =20
that lies above the plane
z =4
and is oriented upward.

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