Suppose F = (3y, -2z, 4x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation 6, F. dr, where C is the boundary of S. (Give an exact answer. Use symbolic notation and fractions where needed.) curl(F) dS = F. dr =

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