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5. Use Gauss Divergence Theorem to find the flux for a flow field with V = (xy2 + cosz)i + (x y + sin =)

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5. Use Gauss Divergence Theorem to find the flux for a flow field with V = (xy2 + cosz)i + (x y + sin =) j +(e=)k through the surface of the inverted half-cone 2z = vx + y whose top is bounded by the plane = =8 as shown. Clearly construct the triple integral of the order dz dy dx but you do not need to evaluate the integral Provide a graph of the xy-plane projection to justify your limits of integration. V 6. Use Gauss Divergence Theorem to find the flux for a flow field with V =(x x)i+(2y)j+(=)k through a pipe defined by the cylinder x' + y' =16 , the xy-plane and the plane z =5 . Give your answer in exact format

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