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Problem 3 (20 pts) Let the surface S be the portion of the cylinder x + y = 4 in the first octant that lies

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Problem 3 (20 pts) Let the surface S be the portion of the cylinder x + y = 4 in the first octant that lies below the plane z = 1. Find the outward flux of F = zi+ xj + yk across S. ("Outward" means that the normal vector points away from the z-axis.)

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