Use Gausss theorem to evaluate S F dS, where F = zex2 i + 3y j + (2 yz7) k and S is the

Chapter 7, Problem 20

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Use Gausss theorem to evaluate S F dS, where F = zex2 i + 3y j + (2 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 Gausss theorem you will have to close it up.)

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