calculus subject

Q2 (11 points) Let R be the region enclosed by the curves C : y - In(: 1 6) + 2 C2 : y - In(2 - ) + 2 and the horizontal line y = 2 as depicted below. -C2 B A 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 z 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