Calculus 2 :

Chapter 7 Review: Problem 1 (1 point) If f(ex ) has a vertical asymptote at x = 0 and a > 0, then (" f(c)dx converges. This statement is: OA. None of these. B. true for all functions f(I). C. true for all even functions f(x). OD. false for all functions f(x). OE. true for some functions f(I).Section 8.4: Problem 10 {1 point] Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. _ - 31h}; _ .. p\"hl a. C](Enterlnf'furm_] DD 3 Z n4+ 8 is: n=1 Q A. convergent C: E divergent Q C. The Ratio Test is inconclusive Chapter 7 Review: Problem 5 {1 point] Consider a solid of revolution obtained by rotating a region R around the xaxis. Select all the Tme statements below: [1 A. The shell method will always result in a less complicated integral. [J B. The 1.rolume of the solid of revolution can be interpreted as the limit of Riemann sums. [J C. ii'lihen using the shell method, we cut the region into small slices perpendicular to the maxis. I] I]. it"i'hen using the disk method, we cut the region into small slices parallel to the zaxis. [J E. The thickness of the slices will be cl: for both methods. [J F. When using the shell method, we cut the region into small slices parallel to the z-axis. I] G. I|.l"v.I'hen using the disk method, we cut the region into small slices perpendicular to the :caxis. Section 8.4: Problem 8 (1 point) Use the ratio test to determine whether E n=15 (n + 2) ! converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 15, lim an+1 = lim 7+00 n-+00 (b) Evaluate the limit in the previous part. Enter oo as infinity and -oo as -infinity. If the limit does not exist, enter DNE. lim On+1 1-+00 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose Choose Converges Note: You can earn 40% partial credit for 2 - 3 correct answers. Diverges Inconclusive Preview My Answers Submit AnswersSection 8.4: Problem 9 (1 point) Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. 213 iM8 P = lim (Enter 'inf for co.) 00 is : n! OA. convergent OB. divergent OC. The Ratio Test is inconclusive Note: You can earn partial credit on this problem. Preview My Answers Submit Answers