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Q2 (11 points) Let R be the region enclosed by the curves Ci : y = In(x + 6) + 2, C2 : y =

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Q2 (11 points) Let R be the region enclosed by the curves Ci : y = In(x + 6) + 2, C2 : y = In(2 - ) + 2 and the horizontal line y = 2 as depicted below. -C2 B C1 A C a) [3 points] Find the coordinates of the points of intersection A, B and C. b) [3 points] Set up a definite integral for the area of R. Do not evaluate the definite integral. c) [5 marks] The area of R is rotated about the line I = 7 to generate a volume of a solid of revolution. Set up a definite integral for the volume of the solid of revolution. Do not evaluate the definite integral

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