Question: Consider the three-dimensional vector field F(x, y, z) = (x xz,x - yz, z2). Let S be the part of the paraboloid z =

Consider the three-dimensional vector field F(x, y, z) = (x xz,x -

Consider the three-dimensional vector field F(x, y, z) = (x xz,x - yz, z2). Let S be the part of the paraboloid z = 1- x2 y? that lies above the xy-plane, oriented upward. Let C be the oriented curve given by the parametrisation c(t) = (cos t, sin t, 0) for 0 st < 27. Directly evaluate the surface integral | c url F dS. (a) Directly evaluate the line integral F (b)

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