Question: 6. Suppose that E is the unit cube in the rst octant and F(:s,y,z) = (2x, 2y, 2). Let S be the surface obtained by

6. Suppose that E is the unit cube in the rst

6. Suppose that E is the unit cube in the rst octant and F(:s,y,z) = (2x, 2y, 2). Let S be the surface obtained by taking the surface of E without its bottom (so 8 has ve sides and is oriented \"out\" from E). Calculate [IS F - dS directly and by using the divergence theorem

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