Question #1

cbeth | Act 1, Sc.. Ebooks -Webreade. Bb Rhetorical Strategie. Integrated Chinese. 3 ap07_us_hist_q1 Calculus 1 Worksheet #52 Finding volume rotated around something other than the axes (disks) Find the volume of the solid that is generated by rotating about the indicated axis the region bounded by the given curves. 1. y= x ,y=0, x = 10 , x = 1 (x-axis) y= 9- x2, y=0 (x-axis) 3. y= x2, y=8- x2 (x-axis) (washer) y=x-x3, y = 0, Ist quadrant (x-axis) 5. y=6-x2, y=2 (y axis) 6 . y = 16-x, x=0, y=0 (y-axis) 7.# y= x + 1,y= 5 (around y = 5) 8." x= y' and x=9 (around x =9). Graph the region bounded by the given curves and then find its area. 9. y= x1/3_y = x3, 1st quadrant 10. y =x2 x -y2 11. If k(x) is a continuous function and k(x)dx - 5 and [k(x)dx - 14 then find [ k(x)dx. 13 . J 72x dx - 12. E(2K2 + 3) - k=0 14. Find the area bounded by y = x' - 3x + 1 and y = 5x -1 (graph paper!) m 15. If f(x) is continuous on the interval n