Let F(x, y, z) z tan 1(y 2 ) i z 3 ln(x 2 1) j z k Find the flux of F across the part of the paraboloid x 2 y 2 z 2 that lies above the plane z 1 and is oriented upward

Question: Let F(x, y, z) = z tan-1(y 2 ) i + z 3 ln(x 2 + 1) j + z k. Find the flux of

Let F(x, y, z) = z tan-1(y² ) i + z³ ln(x² + 1) j + z k. Find the flux of F across the part of the paraboloid x² + y² + z = 2 that lies above the plane z = 1 and is oriented upward.

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