MATH 131 Midterm: MATH131 ALL-SECTIONS SPRING2013 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 131
• Professor: All

Document Summary

You may use the back, and may request additional sheets of paper. Put a box around the nal answer to a question. Show enough work that we can follow your thinking. You must show all appropriate algebraic work in order to receive full credit for an answer: (25 points) estimate r 3. 1 x2 dx. (a) using the trapezoidal method with n = 4. (b) using simpson"s method with n = 2. Math 130: (25 points) (a) find r x2e3x dx (b) find r 4. Math 130: (25 points) the solid of revolution of f . (a) let f (x) = x3 + x on the interval [1,3]. 3 (b) find the eigenvalues of the following matrix: 3 (c) as you know, the eigenvalues of the following matrix are 3 and 5. Jordan method: (a) solve the following system of linear equations by the gauss- 0 (c) find the inverse of the following matrix: (cid:18) 3 4.