14. Find the volume generated by revolving the regions bounded by y = vx, x = 4, y = 0 about the y-axis. A 128x B. 190 C. D. 120m 15. The volume generated by revolving the area bounded by the curves y = 4x and y = 8 - 4x about the line y = 16 equals A. 57on B. C. 1152x D. 172Be 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. B. C. 120m D. 56x 17. A solid is bounded by the graphs of y? = 4x and x = 4. If every cross section perpendicular to the y-axis is a semicircle, find the volume of the solid. A. B. 54 15 C. D. 64n 18. The base of a solid is the circular region bounded by the graph of x2 + y? = a?, where a > 0. Find the volume of the solid if every cross section perpendicular to the x-axis is a square. A. B. 16 C. D. 60319. Write the integral that gives the volume of a solid whose base is a circle centered at the origin, with diameter 6, if cross sections perpendicular to the x-axis are equilateral triangles. A [ V3( 9 -x ) dx B. 4(9-x3) dx D. 4V3(36 - x2) dx CALCULATOR ACTIVE MULTIPLE CHOICE 20. The water level at low tide is changing at a rate of w(t) = 1.25 sin(2 - 0.25t) inches per hour, where tis the hours since midnight. Find the number of inches the water level changed between t = 1 and t = 5. A. 4.5 B. 4.6 C. 2.3 D. 1.1 21. The base of a solid is the region shown at right, bounded by the x-axis, the y-axis, and the graph of y = (4 - x)ex. If cross sections of the solid perpendicular to the x-axis are squares, what is the volume of the solid? A. 3.018 B. 6.249 C. 9.963 D. 10.622 22. Find the area of the region in the first quadrant enclosed by the graph of y = sin(x) + 1, y = =x, and the y- axis. A. 3.178 B. 6.416 C. 0.787 D. 2.78323. The area of the region enclosed by the graphs of y = 3 cosx, y = x, and they-axis is A. 3.447 B. 3.142 C. 2.078 D. 1.571 24. Which of the following integral expressions represents the area of the region bounded by the graphs of y = 3 - x, y = Inx, and the x-axis? 22079 A. (3-x -Inx) dx B. 22079 Inxax + [ (3-x) dx 2.20793 C. (Inx - 3 + x) dx 2.2079 D. [ (3-max - Inx dx