C mylab.pearson.com/Student/PlayerTest.aspx?wl_access_status=opted-in&wl_access_dat 2023SP Calculus II (MATH-2414-42301) Khaled Al Sheblak 05/08/23 1:26 PM Test: Final Exam MML n 19 of 20 This test: 20 point(s) possible This question: 1 point(s) possible - 5 Question list K Use a series to estimate the following integral's value with an error of magnitude 0.5 sin x dx Question 12 Question 13 0.5 sinxax=] Question 14 (Do not round until the final answer. Then round to five decimal places as needed.) Question 15 Question 16 Question 17 Question 18 Question 19 Question 20 Time Remaining. 01 58.00 28 C Mostly cloudy Q Search I LOC - B OU ENG hoC mylab.pearson.com/Student/PlayerTest.aspx?wl_access_status=opted-in&wl access_dat 13701%3a48%3a5 2023SP Calculus II (MATH-2414-42301) Khaled Al Sheblak 05/08/23 1:26 PM n 20 of 20 This test: 20 point(s) possible Test: Final Exam MML This question: 1 point(s) possible Submit test Determine whether the following series converges. Question list K " 5(-1) * + 1 Question 12 Question 13 Let ax 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The series converges because ak = and for any index N, there are some values of k > N for which ak + 1 2 ax and some values of k > N for which ak + 1 Sak- Question 14 O B. The series diverges because ax = is nonincreasing in magnitude for k greater than some index N and lim ak = K -+ 0o Question 15 C. The series converges because ax = is nonincreasing in magnitude for k greater than some index N and lim ak = K -+ 00 D. The series diverges because ak = is nondecreasing in magnitude for k greater than some index N. Question 16 O E. The series diverges because ax = and for any index N, there are some values of k > N for which ak + 1 2 ax and some values of k > N for which ak + 1 Sak OF. The series converges because ax = is nondecreasing in magnitude for k greater than some index N. Question 17 Question 18 Question 19 Question 20 Time Remaining: 01 57 55 28"C Mostly cloudy Q Search ENG 4+ 144 ho 12 PY