Question

Set up the integrals but do not evaluate. Provide graphs. a. Of the area of the region outside of r = 3sine and inside r = 2-sin. Shade the region and show how you found the limits of integration. Show them on the graph. b. Of the surface of the solid by rotating the region given by y = 15-xon (1,2) and (5,0) about the x- axis, both explicitly and implicitly

Answer 1

Date : Solution : to find 4 +8=3 sino -T rdrdot Notes (9) we have to set up the the integrals the area (region) outside of r=asino and insinde 8-2-sino. 2-sino . 3 Sino= 2-sino » o - sinh - 7 The 3 Sino The 2-sino 2 ododo 772- Sino T because region is symmetrie about the Vertical line. So we multply it by a. fo (6) The integral of surface of the solid by rotating the region given by - Isan on (1, 2) and (5,0) about g - anis (1,2) 5 2 (50) I- foy dre 李 2 6 T ( 52) de 4,-2)