a. Sketch the curve y = (x 3) 2 + 2. b. The region enclosed by

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a. Sketch the curve y = (x − 3)2 + 2.
b. The region enclosed by the curve, the x-axis, the y-axis, the line x = 3 is rotated through 360° about the x-axis. Find the volume obtained, giving your answer in terms of π.

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