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6. (5 pts) Openstax 6.4 #207 The base of a lamp is constructed by revolving a quarter circle y = 2x-x2 around the y-axis

6. (5 pts) Openstax 6.4 #207 The base of a lamp is constructed by revolving a quarter circle y = 2x-x2 around the y-axis from x = 1 to x = 2. Develop an integral for the surface area of this curve and compute it. 2 .0 .5 .0 10 -2 -1 10 1 2

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