Question 52, 6.2.29 Hw Score: 76.: Part1 016 ent #1[Chapter 6} Compute the volume of the solid generated by revolving the region bounded by y = x and y = x2 about each coordinate axis using the methods below. a. the shell method A b. the washer method :1. Using the shell method: set up the integral to nd the volume of the solid generated by rotating the region bounded by y = x2 and y = )1 about the xaxis. D l l: v nt #1(Chapter 6) Question 64, 6.4.7-T Part 1 of 3 a. Set up an integral for the area of the surface generated by revolving the curve x = 4 cost dt, 0 sys - about the y-axis. 0 b. Graph the curve. c. Use technology to find the surface area numerically. a. Choose the correct integral below. x/3 O A. 2x (4 cosy) 1 1 + ( -4 sin y)- dy */3 OB. 2 x 4cost at 1+ ( - 4 sin y) dy /3 O C. 2x (4 cosy) 1+ (4 cos y) dy x/3 OD. 2 1 4 cost at 1 + (4 cos y ) dy 0Question 55, 5.4.9 7" Find the lateral {side} surface area efthe cene generated by revolving the line segment 1; = Ex: [II 5x56: about the x-axis. (E) The lateral surface area of is E. [Type an exact answer: using it as needed.)