10 points Save Answer 8. Which definite integral will result in the area of the shaded region? y A . [ , ( ev - 1 2 - 2 ) dy x = y2- 2 y =1 B. / ( y 2 - 2 - ev ) dy x = ey X c . L ( 4 2 - 2 + ev ) dy y =-1 D. / (ev - 32 + 2) dy E. / ( ev + 2 2 + 2 ) dy For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B U10 points Save Answer 9. The given shaded region is revolved about the y-axis. Which definite integral will result in the volume of this solid? y = 8 A . n x3 dx B. P1 y = x3 C. T Vy2 dy y = 1 8 D. T By dy X E. TVyz dy For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac)10. The given shaded region is revolved about the y-axis. Which definite integral will result in the volume of this solid? y A . J 27 ( 3. 2 - 23 ) da y = 4x -x2 y = x B. 27 ( 42 2 - 23 ) dx C. 27 (23 - 4x2 ) dix D. o 2nx (x2 - 3x) dx E. 27 (3x - x2) dx For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10ptQUESTION 11 10 points Save Answer 11. The given shaded region is revolved about the y-axis. Which definite integral will result in the volume of this solid? -0.5 A . Tx (x4 - x6) dx .0.5 B. 2n (x3 - x4) dx y = x2 -0.5 y= x' C. 27 (24 - 23) dx 0 X N/- - .0.5 D. 74 (1 - x2) dx o .0.5 E. 2nx (x3 - x4) dx the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). 3 I US Paragraph V Arial 10pt V A V E . .. X 2 1BC V X EXE O ?12. The graph of g(x) is given below. What's the exact value of A. 2 + 1 B. 2 + 21 C. 4 + 2T D. 8 + 4T E. 16 + 87 For the toolbar, press ALT+F10 (PC) OF ALT+FN+F10 (Mac). BIUS Paragraph Arial 10p E A V TX E E E . . . X2 X2 ABC V X EXE ?10 points Save Answer 13. In the process of doing the anti-derivative of sing (x) cos (x), which substitution is required? A. U = sin(x) B. U = cos(x) C. U = cos (x) D. U = cos3 (x) E. U = sin' (x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt V E V A & v IX E . .. X2 X2 + ABC X EX: O P14. Using the integration by parts for the anti-derivative of e27 cos(3x), which set-up results in the correct answer? A. U = e2t, dV = sin(3x) dx B. U = e2x, dV = cos(3x) dx C. U = cos(x), dV = edx D. U = sin(x), dV = edx E. B and C For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt E v A TX E E