MATH 132 Final: MATH 132 UMass Amherst Math-132-Final-Exam-Spring-2016
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Johnson: no calculators, papers, or notes may be used, please don"t just give an answer. Clearly explain how you get it, provid- ing appropriate mathematical details. An answer with no support- ing work will be awarded zero points: this is a 2 hour exam. 9 (out of 20) a. a. a. a. Total (out of 100) kb. kb. kb. kb. Mutiple choice section: choose the one option that best answers the question. 5 (b) 1 (c) 5 (d) : [5 points] for which x values does the following series converge? (a) 3 < x < 3 (b) 1. 3 < x < 1 (c) 3 x 3 (d) 1. 2: [5 points] consider the integral z ln(2x) dx. Please ll in your letter answer for questions 1-5 below: (1) (2) (3) (4) (5) Free response portion: show all work for each of the following ques- tions. Partial credit may be awarded for questions 6-9.
