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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

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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 25 - y2, 0 S x

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