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  3. consider the function ?(?,?)=3?^2−4?+??^2 on

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...

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Basic Math

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) inthe region ?R, if any, and classify them (local maximum, localminimum, or saddle point).

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

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