MATH 131 Midterm: MATH131 ALL-SECTIONS SPRING2013 MID EXAM 1

• 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. Y2 + 3x 6y 4 (b) f (x, y) = 2x3 + 3y2. 12xy + 4 (c) f (x, y) = y4. Math 130: (25 points) each of the following double integrals. Interchanging the order of integration when necessary, calculate (a) z 4. 1 x x y dydx (b) z ln 2. Math 130: (25 points) solve these rst order di erential equations and initial value prob- lem, the rst being an ivp. (a) dy dx x2 + 1 y3 + 2y. Math 130: (25 points) (a) use euler"s method to estimate y(3) given that y(2) = 0 and dy dx. , and using n = 2. x y + x (b) solve the following system of di erential equations: dx dt dy dt.