MTH 142 Midterm: MTH 142 University of Rochester 2004 Fall Midterm2

• School: University of Rochester
• Department: Mathematics
• Course: MTH 142
• Professor: All

Document Summary

Math 142, test2, practice problems: evaluate r ecos t sin tdt. Ecos t + c: evaluate r 1. 2: find the area of the region bounded by y = sin x, y = ex x = 0, x = 2: find the area of the region enclosed by. 8 . x = 2y2, x + y = 1: find the volume of the solid obtained by rotating about y = 1 the region enclosed by y = x and y = x2. 2 : find the average value, fave of the function f (x) = sec x tan x on [0, . ( 2 1): consider the function f (x) = (x 3)2 on [2, 5]. Find c in [2, 5] such that f (c) = fave. Ans. c = 2, 4: use the integration by parts to solve r ex cos xdx. 2 ex(cos x + sin x) + c: use the integration by parts to solve r 2.