MTH 254 Midterm: MTH 254 Oakland Midterm H 254 Exam 2 Summer 2005
Document Summary
In order to receive credit for a problem, complete work must be shown. A correct answer alone may receive no credit. You may use a calculator, and in some problems it may be useful to use one. There is a 5 point cushion on this exam as the total number of points is 105: [8 pts each] determine whether each of the limits below exists. If the limit exists, give the limit with justification. If the limit does not exist, justify. (b) 2x2,) lim (x,y)+(o,o) 4: [8,7 pts] (a) you are given a function w = f (x, y) and that - = 7 and. 21 . x=8 y=13 (b) in addition, you are given that - x=8 y=13 a2w ax2. Find : [ l o pts] let g(x, y) = x2 - 2x- zy2 . 2 (b) give a brief argument justifying that you have found the actual point where the objective function is minimized.
