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Evaluate the surface integral F . dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F ( x, y, z) = x2 i + yz j + zz k S is the boundary of the solid half-cylinder 0 s z s v 9 - 2, 0 S x S 2