Question: Evaluate the surface integral. S F dS, where F(x, y, z) = x 2 i + xy j + z k and S

Evaluate the surface integral.

∫∫S F • dS, where F(x, y, z) = x2 i + xy j + z k and S is the part of the paraboloid z = x2 + y2 below the plane z = 1 with upward orientation

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