MATH 111 Final: STAT 111 Amherst S17Stat135 283 20and 204 29FinalHorton

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 111
• Professor: All

Document Summary

Partial credit will be given only if su cient progress towards an answer is shown. Spring 2016: (10 points) i was fortunate to have you this semester as a student. Now, write: my worth as a person is not determined by the grade on a test! I know more now about these topics than fourteen weeks ago. Spring 2016 (b) (10 points) find the orthogonal trajectories to the family of curves 2x2y2 + x4 = c. Write your answer in the form f (x, y) = c. Spring 2016: (20 points) consider the di erential equation y d2y dx(cid:19)2 dx2 +(cid:18) dy. 2 y with initial conditions y(0) = 1 y (0) = 1 (a) (5 points) show that the given equation is equivalent to dz dy z y. 2z after applying a basic reduction of order. (b) (10 points) solve the equation dz dy z y.