MTH 142 Midterm: MTH 142 University of Rochester 2002 Spring Midterm2 solutions

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

Document Summary

April 11, 2002: (10 pts) find the area of the region enclosed by the curves x = y2 + 2 and x = 4. Setting y2 + 2 = 4 yields y = . 4 (y2 + 2) dy = z. 2: (10 pts) a spring at rest has length of 2 m. assuming that the spring constant k equals. 10 n/m, calculate the work required to stretch the spring so as to increase its length to 4 m. We use x to denote the amount by which the spring is stretched beyond its rest length. Here we have made use of the hooke"s law which says that f (x) = kx. Setting 1 = x 1 yields x = 2. 1 (b) enclosed by y = x2 and y = 3x; about x = 4. Setting x2 = 3x yields x = 0, 3.