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(3) Let D denote the disk in the xy-plane bounded by the circle with equation y2...

(3) Let D denote the disk in the xy-plane bounded by the circle with equation y2 = x(6−x). Let S be the part of the paraboloid z = x2 +y2 + 1 that lies above the disk D.

(a) Set up (do not evaluate) iterated integrals in rectangular coordinates for the following.

(i) The surface area of S.

(ii) The volume below S and above D.

(b) Write both of the integrals of part (a) as iterated integrals in cylindrical coordinates. Do not evaluate.

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