For each of the following functions, determine whether the given stationary point corresponds to a local minimum, local maximum, or saddle point: (a) f (x, y) = 3x2 xy + y2 (0, 0) (b) f (x, y) = sin x+y3+3xy+2x3y (0,1) (c) f (x, y) = 1 3 x31 3 y3+3xy+2x2y (1,1) (d) f (x, y) = y x2 + x y2 + xy (1, 1) (e) f (x, y, z) = x3 + xyz + y2 3x (1, 0, 0) (f) f (x, y, z) = 1 4 (x4+ y4+z4)+ yzx 2y 2z (1, 1, 1)

NTRO TO ENVIRONMENTAL SCIENCE : ECOLOGY U NIT Woods have just as much or more industry than an urban area with factories Provides more services and produces more for more organisms Natural World Themes 1. All materials cycle and waste becomes food Used materials are ready for something else 2. Diversity is rewarded...