Consider the function ?(?,?)=3?^2−4?+??^2 on the closed region ?={(?,?):−1≤?≤1 and −1≤?≤1}R={(x,y):−1≤x≤1 and −1≤y≤1}. (a) Find all...

Consider the function ?(?,?)=3?^2−4?+??^2 on the closed region ?={(?,?):−1≤?≤1 and −1≤?≤1}R={(x,y):−1≤x≤1 and −1≤y≤1}.

(a) Find all critical points of ?(?,?)f(x,y) in the region ?R, if any, and classify them (local maximum, local minimum, or saddle point).

(b) Determine the absolute maximum and absolute minimum of ?(?,?)f(x,y) on the closed region ?R, and all points at which they occur.

Expert Solution

milcah answered 2 years ago

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