A graphing calculator is required for this problem. Let R and S be the regions in the rst quadrant shown in the gure. The region R is bounded by the x~axis and the graph ofy = Zsimr. The region Sis bounded by the y~ axis and the graphs ofy : 3 - 2x and y : 25inx. Part A: Find the area of S. (15 points} Part B: Find the volume of the solid generated when R is revolved about the x-axis. (15 points) Part C: Write' but do not evaluate, an integral expression that can be used to nd the volume of the solid when Sis revolved about the xaxis. (10 points) C r, = 3 - 2x 2 inx 1 2 Area beth disc 12 ( 1 2 ) 5 - 1 ( riz z Area = It / ( 3 - 2 20 ) 2 - ( 2usin 2) 2 7 Now volume of disc with widty da 0. 7896 V O 0. 789 0 V z ( 3 - 2 x ) ' - (zsinx) ? / dx 0. 7896 V Z O