APPM 1360 Final: appm1360summer2013examfinal
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Instructions: books, notes, and electronic devices are not permitted. Nal, part 1, (3) instructor"s name/class time and (4) summer 2013 on the front of your bluebook. Also make a grading table with room for 6 problems and a total score. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. 1. (a) (6 pts) find the x-coordinate of the center of mass of the in nite region bounded by x = 0, y = 0 and y = e x, where > 0. You may use the fact that z . E xdx = 1, for > 0. (b) (4 pts) write out the full partial fraction decomposition of coe cients. 2. (a) (4 pts) suppose the nth partial sum of the series p an is given by sn = n1/n. Find an expression for the nth term of the series, an.
