Use Gauss's theorem to evaluate the following, where F = zex2i + 7yj + (17 − yz7)k and S is the union of the five "upper" faces of the unit cube [0, 1] [0, 1] [0, 1]. That is, the z = 0 face is not part of S. (Hint: Note that S is not closed, so to apply Gauss's theorem you will have to close it up.)
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