MAT 296 Midterm: MAT296-2007Spring
Document Summary
Write your answers and show all your work on this test. There are 9 problems on 9 pages (including this cover sheet), for a total of 100 points. To receive full or partial credit, the correct work leading to the correct answer must be written down. Unsupported answers will receive little or no credit. Symbolic calculators, such as ti-89 or ti-92, may not be used. 1. (15 points) consider the region enclosed by the curves y = x. 2 and y = x + 4. (a) sketch this region and find its area. (b) set up an integral that gives the volume of the solid obtained by rotating this region about the line x = 3. 4. (8 points) determine whether the integral . 5 (c) eliminate the parameter t, that is write down an equation for the curve involving only x and y.