CS 373 Quiz: CS 373 Binghamton Quiz7f03 sol post

• School: Binghamton University
• Department: Computer Science
• Course: CS 373
• Professor: All

Document Summary

You have until 6:50 to complete this exam. Each question is worth 20 points, for a total of 100 points. Good luck: on r2, maximize 3x + y under the constraint x2 + y 9. Is your solution a maximum: on r2. +, nd demand by maximizing the utility function u(x, y) = 3x e y subject to the constraints pxx + pyy m, x 0, y 0 where px, py, m > 0. 3 = 1} be the unit sphere in r3. 2 + x2: use the implicit function theorem to show that if x0 = (x0, s, we can write one of the coordinates in terms of the other two in some neighborhood of x0. 1, x0: give an example of how to do this at the point x0 = (0, 1, 0), consider the di erence equation xt+1 = axt where.