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Let F(x, y, z) = z tan^-1(y^2)i + z^3 ln(x^2 + 9)j + zk. Find the flux of F across S, the part of the paraboloid x^2 + y^2 + z = 30 that lies above the plane z = 5 and is oriented upward. Integral_S F middot dS = _____
Let F(x, y, z) = z tan^-1(y^2)i + z^3 ln(x^2 + 9)j + zk. Find the flux of F across S, the part of the paraboloid x^2 + y^2 + z = 30 that lies above the plane z = 5 and is oriented upward. Integral_S F middot dS = _____
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