MATH 222 Final: MATH 222 KSU Final Exam f14
Document Summary
Instructions: wait to open the exam until instructed to do so. Then answer the questions in the spaces provided on the question sheets. If you run out of room for an answer, continue on the back of the page. You will have 1 hour and 50 minutes to complete this exam. December 17, 2014: calculate the following quantities if they exist. Otherwise, explain why they do not exist. (a) (5 points) lim (x,y) (0,0) x6 + y6 px2 + y2 (b) (5 points) for f (x, y) = ye x2+y2, compute fx(0, 0) December 17, 2014: let and f (x, y) = x2 yx + y2. D = {(x, y) : x2 + y2 8}. (a) (5 points) find the critical points of f (x, y) in d. (b) (5 points) describe the local behavior of f (x, y) at its critical points.