finish all the questions

[17 pts] The region R is bounded by the curves y = 3 In(2x), y = 0, and x = 4. I. [3 pts] Find the coordinates of the intersection points A, B, and C' in the images below and record them in the spaces provided. No work is necessary, but you must give exact answers. Point A: Point B: Point C: Il. [4 pts] The base of a solid is the region R. Cross-sections through the solid taken parallel to the y-axis are semicircles. Set up, but do not evaluate, an integral or sum of integrals that would give volume of the solid. C y = 3 In(21) 1=4 y=0 B Ill. [10 pts] A solid S of revolution is formed by revolving R about the line r = 4. A. [5 pts] Set up, but do not evaluate, an integral or sum of integrals using the shell method that would give the volume of the solid S C y = 3 In(2x) =4 A y = 0 B B. [5 pts] Set up, but do not evaluate, an integral or sum of integrals using the washer method that would give the volume of the solid S. C y = 3 In(21) =4 y=0 B