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11) Evaluate f. F. dS, where F(x, y, z) = (2xy, 3, (1 y)) and the surface S consists of the paraboloid z =

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11) Evaluate f. F. dS, where F(x, y, z) = (2xy, 3, (1 y)) and the surface S consists of the paraboloid z = 4 3x 3y on 1 z 4, the cylinder x + y = 1 on 0 z 1, and - z = 0 within the cylinder. Hint: Avoid solving three surface integrals.

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Solution S Fds where FMiG13 Fas 2xy 42 16 3 Therefore the s... blur-text-image

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