Define the force field F(x, y, z) = (xy, —-yz, xz). Find the divergence and curl of F. Let C be the directed line segment from (0, 0, 0) to (1,1,2). Find the work done by F in moving a particle along C. Let S be the portion of the plane z = 2 - 2x in the first octant bounded by the coordinate planes and the plane y = 1 with upward ori- entation. Set up an iterated double integral equal to the flux of F across S.

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