APPM 1360 Final: appm1360fall2013examfinal_sol
Document Summary
On the front of your bluebook, please write: a grading key, your name, student id, and section and instructor. This exam is worth 150 points and has 9 questions: show all work! Answers with no justi cation will receive no points: please begin each problem on a new page, no notes, calculators, or electronic devices are permitted, (20 points) evaluate the following: (a) z. 3 (x 1)(x2 + 2) dx (b) solve for y in the differential equation: = xy sin x with initial value y( ) = 1. 3 (x 1)(x2 + 2) dx =z (cid:18) a x 1. Bx + c x2 + 2 (cid:19) dx. A(x2 + 2) + (bx + c)(x 1) = 3 (a + b)x2 + ( b + c)x + (2a c) = 3. A + b = 0, b + c = 0, 2a c = 3. A = 1, b = 1, c = 1.
