14,15,16,17

14. Find the volume generated by revolving the regions bounded by y = Vx , x = 4, y = 0 about the y-axis. 7X X A. 128n 198nT 5 B. = TL(5 X5 10) 5 C. 256TT = 3272 15 D. 128n 3 15. The volume generated by revolving the area bounded by the curves y = 4x2 and y = 8 - 4x about the line y = 16 equals A. 576TT 4 x ? = 8 - 4X 2 B. 288n 5 3 C. 1152n 4 x 2 74X = 3 ( X- 1) (*+2) 1728n 5 4x 2 + 4x - 8= 0 X= 1 or X -2 D. 5 4 ( X 2 + X - 21 = 0 16. The volume generated by revolving the area bounded by the curves y = x3, x = 2, and y = 0 about the x-axis equals A. 64TT 5 B. 5 C. 128TT D. 567T 5 17. A solid is bounded by the graphs of y2 = 4x and x = 4. If every cross section perpendicular to the y-axis is a semicircle, find the volume of the solid. A. 128n B. 64TT 15 3 C. 32TT 3 D. 641