MATH 246 Midterm: Exam 2 No Solutions Spring 1997

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

Document Summary

Instructions: this exam has 4 pages (including a b lank) . Be sure to show all work for all problems. No credit will be given for answers without work shown. If you do not have enough room in the space provided you may use additional paper. Be sure to clearly label each problem and attach them to the exam. I certify that i have taken this exam without the aid of unauthorized people or objects. 1: (5 pts) show that the path c(t) = ( ~1 , f. r) is a flow line for the vector field f(x, y) = (y, 2xy) . ~" ( t) ~ f- ( c (_ -t) :r: ( c (_t) "> ~ (~, ) --0) j. I: (5 pts) for a c2 sc~ar-vah ied function [2n r 3 and a c2 vector field f on r 3. , circle the quantity below that is not necessarily zero.