Instructions: books, notes, and electronic devices are not permitted. Exam 2, (3) instructor"s name/class time and (4) summer 2016 on the front of your bluebook. Also make a grading table with room for 4 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. Find the area of the surface obtained by: (24 points) determine whether each sequence converges or diverges. If it converges, nd its limit. (a) {sin(n )} (b) an = n=0 n4. N7 3n3 + 8 ( 1)n arctan n (n + 1)1/4 (c) an : (24 points) consider the region bounded by the curves y = 2x and y = x3, for 0 y 1. 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.
