MATH 139 Midterm: MATH 139 McGill Examf07

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 139
• Professor: All

Document Summary

Explain all your work and give reasons to support your answers. Advice: don"t spend too much time on a single problem. Final exam - december 11, 2013: evaluate each of the following integrals. (9 pts. 3: evaluate each of the following integrals. (9 pts. 7x + 12 x2 dx (9 pts. )(a) use the method of separation of variables to solve the following initial value problem. y = 3x2e y, y(0) = 1. (8 pts. )(b) consider the following given data of a function f (x) on the interval [0, 3]. x f (x) Find m3 (midpoint sum) and r6 (right-hand sum). 4. (14 pts. ) (a) set up a de nite integral representing the volume of the solid formed when the region bounded by the parabola y = 2x x2 and the line y = x is revolved around the y-axis.