APPM 1360 Midterm: appm1360fall2016exam1_sol

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31 Jan 2019
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On the front of your bluebook, please write: a grading key, your name, student id, your lecture number and instructor. This exam is worth 100 points and has 4 questions. The back side contains a formula sheet: submit this exam sheet with your bluebook. However, nothing on this exam sheet will be graded. Exam 1 sure all of your work is in your bluebook: show all work and simplify your answers! Answers with no justi cation will receive no points: please begin each problem on a new page, no notes or papers, calculators, cell phones, or electronic devices are permitted. 1. (a) (14 points each) evaluate the following integrals: z 1. 12y (y 1)(y2 + 2) dy (b) (7 points each) determine whether the following integrals are convergent or divergent. In your answer, state any theorems or tests used: z . X dx (a: let u = t2 and dv = e tdt.