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Let F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 7)j + zk. Find the...

Let F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 7)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 6 that lies above the plane z = 5 and is oriented upward.

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