Question: Consider the function f(x,y) = x 3 4 x y + 2 y 2 . (a) Let's find the (x,y) coordinates of all of the

Consider the function f(x,y) = x34xy+2y2.

(a) Let's find the (x,y) coordinates of all of the critical points of f.

(b) Classify each critical point of f found int he previous part as a local max/min or a saddle point.

(c) Let's find the absolute max/min values of the same function found in (b) on the region determined by 0x1 and x1y0.

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