MATH 246 Final: MATH246 COHEN-J SUMMER II2000 0101 FINAL EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 246
• Professor: All

Document Summary

Make sure that you do not use rules such as (a+c) = 1 c , or log(a + b) = log a + log b. a + 1. Show all your work on these pages, using the backs for scratch paper. Check your answers: (40 points) for each of the following matrices a, nd the eigenvalues and the corresponding eigenvectors. 4 2 (a) 2 5 (b) 8. 2 0 1: (20 points) solve the following initial value problem: x = 2x + 3y y = 3x 2y where x(0) = 1, y(0) = 1. 1 and their conjugates. (b) r = 2, v = 4. 2 ; r = 2, v = 3. 2 . (c) r = 4, v = 0. 1 ; r = 2, v = 3. 5 : (30 points) let us suppose that we have two tanks which are interconnected with two pipes. Each tank contains 100 gallons of salt water solution.