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Evaluate the surface integral If F - d5 for the given vector eld F and the oriented surface S. In other words, find the flux

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Evaluate the surface integral If F - d5 for the given vector eld F and the oriented surface S. In other words, find the flux of F across 5. For closed surfaces, use the positive (outward) orientation. 5 F(X,y,z) =Xyi +yzj +2Xk Sis the part of the paraboloid z : 2 7 x2 7 y2 that lies above the square 0 S x S 1, 0 S y g 1, and has upward orientation

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