APPM 1360 Midterm: appm1360fall2017exam2_sol
Document Summary
This exam is worth 100 points and has 4 questions: on the front of your bluebook, write your name, a grading key, and appm 1360, show all work! Answers with no justi cation will receive no points: begin each problem on a new page, no notes or papers, calculators, cell phones, or electronic devices are permitted. 2 sin2(x) = 1 cos(2x) sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) sin2(x) A2 u2 a2 + u2 = u u2 a2 du. = sin 1(u/a) + c, u2 < a2 tan 1(u/a) + c. 1 a sec 1 |u/a| + c, u2 > a2. Center of mass info (x, y) =(cid:18) my m =z b. 2 a a a: (30 points) the following questions pertain to the shaded region in the gure below. 0 [(5x x2)2 x2]dx (a) use washers: r 4 (b) use cylindrical shells: r 4 (c) add lengths of top curve and bottom curve: r 4.
