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Problem 2. (4 pts) Let S be the unit sphere in R3, i.e., S = {(x, y, z) | 2+ 2 + 22 =1}. It

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Problem 2. (4 pts) Let S be the unit sphere in R3, i.e., S = {(x, y, z) | 2+ 2 + 22 =1}. It is oriented using the outward normal. Compute the following integrals. (You must justify your answer. ) (1) (2 pts) SSsads. [Possible hint: Consider SJs(24 + 4 + 24 ) as. ] (2) (2 pts) SSs x2dxdy + y-dydz + z dzdx

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