Portfolio Problem 9 1. The given curve is rotated about the y-axis. Find the EXACT lateral surface area of the resulting solid. Include 7 in your final answer. y = 16 27 2 for 1 S x $ 2 2. Find the EXACT coordinates of the centroid of the region bounded by the curves below. Show the applicable integrals and your work to solve them. DO NOT use double integrals or methods from Calculus 3. You MUST use the techniques from Calculus 2 as found in the associated 'Learn the Material' page. If you use double integrals in your work, then you will automatically be DEDUCTED 3 points AFTER you are scored using the accompanying rubric. y = \\x and y = ,* on the interval 0 S x $ 4