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1. (14 points) Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating the region bounded by

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1. (14 points) Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating the region bounded by y = vx, y =v4-x, andy =0, about a. (7 points) the line y = - 5 using the method of cylindrical shells. b. (7 points) the x = - 7 using the disk/washer method.2. (12 points) Evaluate the integral. Do not use hyperbolic functions as the final answer. dx V3x- -43. (12 points) Find the exact value of the surface area generated by revolving the curve x 1 Isx

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