APPM 1360 Midterm: appm1360spring2018exam4

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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, lecture number, and instructor name. This exam is worth 150 points and has 8 questions on both sides of this paper: make sure all of your work is in your bluebook. Nothing on this exam sheet will be graded. Please begin each problem on a new page: show all work and simplify your answers! Answers with no justi - cation will receive no points unless the problem explicitly states otherwise: notes, papers, calculators, cell phones, and other electronic devices are not permitted. 1. (a) (12 pt) solve the differential equation e x/2 dy dx (b) (10 pt) evaluate z 1/2 dx. 0 (1 x2)3/2 x y2 for the function y: (12 pt) consider the region enclosed by the curve x2. + y2 = 1. (a) sketch the region. Label all intercepts. (b) suppose the region is rotated about the line x = 4.