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Problem 2. (4 pts) Let S be the unit sphere in R3, i.e., S = {(x, y, z) | 22 + 2 + 22 =

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Problem 2. (4 pts) Let S be the unit sphere in R3, i.e., S = {(x, y, z) | 22 + 2 + 22 = 1}. It is oriented using the outward normal. Compute the following integrals. (You must justify your answer.) (1) (2 pts) SSs x2ds. (2) (2 pts) SSs xdydz + yazdx + zdxdy

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