MATH 220 Final: MATH 220 Amherst S09M15Final 0

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 220
• Professor: All

Document Summary

Instructions: there are 12 questions on this exam for a total of 100 points. You may not use any outside materials (e. g. , notes, calculators, cell phones, etc. ). You have 3 hours to complete this exam. 2 . (a) find the tangent line to the curve at (cid:16) 3 3. 8 , 1 (b) find the length of the curve. 1: (6 points) let c1 be the curve given by the polar coordinates equation r = 2 sin , 0 , and let c2 be the curve given by the polar coordinates equation r = 1. Find the area of the region inside c1 and outside c2: (6 points) find the area of the surface obtained when the curve y = 1 x 2 is rotated about the y-axis. x3. 2x for: (12 points) determine whether each series converges absolutely, converges condition- ally, or diverges. Xn=0 cos(n + 10) n2 + 10n n!