Let S, be the part of the paraboloid z = 2? + y? that is inside the cylinder a? + y? = 1, S2, the part of the cylinder z? + y? =1 between the planes z = 0 and z 1 and S, the part of the plane z = 0 that is inside the cylinder z?+ y? = 1. Let Rbe the region that is enclosed by S, Sz and S3. a) Assume that units of æ, y, z are metres. Calculate the surface area of S1.

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