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2. (25pts) The following questions are on surface integrals. (a) (10pts) Find the area of the surface S, which is the part of x2 +

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2. (25pts) The following questions are on surface integrals. (a) (10pts) Find the area of the surface S, which is the part of x2 + y? + 22 = 4 that lies inside the cylinder a2 + y? = 3. (b) (15pts) Find the mass of the surface S, where S is given by r(u, v) = (2uv, u] - v2, u + v?), (u, v) ED with D := {(u, v) ER3 : u3 + v?

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