Math 2413 Fall 2019 Final Exam

Math 2413 Fall 2019 Final Exam 12/7/19 Time Limit: 2 hours and 30 min. Name (Print): This exam contains 9 pages (including this cover page) and 18 problems. Check to see if any pages are missing. Enter all requested information on the top of this page, and put your initials on the top of every page, in case the pages become separated. You may not use your book or notes on this exam. You are required to show your work on each problem on this exam. The following rules apply: • Organize your work, in a reasonably neat and coherent way, in the space provided. Work scattered all over the page without a clear ordering will receive very little credit. • Mysterious or unsupported answers will not receive full credit. A correct answer, unsupported by calculations, explanation, or algebraic work will receive no credit; an incorrect answer supported by substantially correct calculations and explanations might still receive partial credit. • A stand-alone four function or scientific calculator only. Graphing calculators, calculators able to do derivatives and cell phones or other wireless devices are prohibited. Use of such is considered cheating and will result in a 0 on the test. Do not write in the table to the right. Problem 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Total: Points 3 3 3 3 3 3 3 3 9 3 6 5 5 9 12 9 6 12 100 Score Math 2413 Final Exam – Page 2 of 9 Find f 0 (x) if f (x) = 1. (3 points) A. f 0 (x) = B. f 0 (x) = C. f 0 (x) = D. f 0 (x) = E. f 0 (x) = 12/7/19 cot(x) e3x − cot(x)e3x − csc2 (x)e3x 3 (e3x )2 − csc2 (x)e3x − cot(x)e3x e3x − csc2 (x)e3x − cot(x)e3x 3 (e3x )2 csc2 (x)e3x − cot(x)e3x e3x − cot(x)e3x 3 − csc2 (x)e3x (e3x )2  x x
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