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Problem 2. (4 pts) Let S be the unit sphere in R3, i.e., S = {(x, y, z) | x2 + 32+ 22 = 1}.

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Problem 2. (4 pts) Let S be the unit sphere in R3, i.e., S = {(x, y, z) | x2 + 32+ 22 = 1}. It is oriented using the outward normal. Compute the following integrals. (You must justify your answer. ) (1) (2 pts) SSs ads. [Possible hint: Consider SJs(24 + 4 + 24 ) as.] (2) (2 pts) SSs x2dady + y?dydz + z2dzdx

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