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Evaluate the (flux) surface integral F . dS for the vector field F(x, y, z) = yi+(z -y)j+ xk where S is the surface of

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Evaluate the (flux) surface integral F . dS for the vector field F(x, y, z) = yi+(z -y)j+ xk where S is the surface of the tetrahedron with vertices (0,0,0), (1,0,0), (0, 1,0), and (0,0,1) with outward orientation

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