MAT 228 Midterm: F08mt2sol

• School: University of Maine
• Department: Mathematics and Statistics
• Course: MAT 228
• Professor: All

Document Summary

= lim h 0 (h 3) = 3. (b) find all critical points of f . Set f = hfx, fyi = h2x 3y, 3x + 2yi = h0, 0i. The y-component tells us that x = 3y/2. In the above, substitute for x using (1) to get. Therefore x = 3 0/2 = 0, so (0, 0) is the only critical point. (1) (c) for each critical point found above, determine whether it is a local maximum, local minimum, or saddle point. D = fxxfyy (fxy)2 = 2 2 ( 3)2 = 4 9 = 5. Because d(0, 0) < 0, the second derivative test tells us that (0, 0) is a saddle point: (18 pts) eggbert is shing on lake wigg. At a point (x, y) on the surface of the lake, the depth is given by. D(x, y) = y2 + 3xy + 20 feet.