APPM 1360 Final: archive_appm1360summer2018examfinal
Document Summary
On the front of your bluebook, please write: a grading key, your name, student id, your lecture number and instructor. This exam is worth 150 points and has 5 questions: submit this exam sheet with your bluebook. However, nothing on this exam sheet will be graded. Make sure all of your work is in your bluebook: show all work, simplify your answers answers with no justi cation will receive no points. Please begin each problem on a new page: you will be taking this exam in a proctored and honor code enforced environment. This means: no notes or papers, calculators, cell phones, or electronic devices are permitted: (30 pts) consider the integral z 1. If so, what is the volume: (30 pts) find the length of the polar curve r = 2 on 0 2. 2 sin2(x) = 1 cos(2x) sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) sin2(x) = arcsin(u/a) + c, u2 < a2 du.
