APPM 1360 Final: appm1360summer2013examfinal_sol2
Document Summary
Instructions: books, notes, and electronic devices are not permitted. Nal, part 2, (3) instructor"s name/class time and (4) summer 2013 on the front of your bluebook. Also make a grading table with room for 5 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 maclaurin series for f (x) = sin(x2) x. 0 e x2 dx. (a) (4 pts) find an approximation to this integral, m4, using the midpoint rule and n = 4 subintervals. Remember: 0 t 2 : consider the polar curve de ned by r = , 2 . (a) (4 pts) provide a rough sketch of the curve. Indicate direction with an arrow. (b) (8 pts) set up but do not evaluate an integral for the length of this curve.
