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Find the flux of the field F(x,y,z) = z i+ x j - 3z k outward through the surface cut from the parabolic cylinder z

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Find the flux of the field F(x,y,z) = z" i+ x j - 3z k outward through the surface cut from the parabolic cylinder z = 4 - y by the planes x = 0, x = 1, and z = 0. The flux is (Simplify your answer.)Use the surface integral in Stokes' Theorem to calculate the circulation of the eld F =x2i + 2x] + 22k around the curve C: the ellipse 9x2 + 4y2 = 7 in the xy-plane, counterclockwise when viewed from above. 99M: C (Type an exact answer, using 1: as needed.)

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