Question: 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

 1. (14 points) Set up the integral (but do not evaluate)to find the volume of the solid obtained by rotating the regionbounded by y = vx, y =v4-x, andy =0, about a. (7points) the line y = - 5 using the method of cylindricalshells. b. (7 points) the x = - 7 using the disk/washer
method.2. (12 points) Evaluate the integral. Do not use hyperbolic functions asthe final answer. dx V3x- -43. (12 points) Find the exact valueof the surface area generated by revolving the curve x 1 Isximage text in transcribedimage text in transcribed

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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