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  3. a find the critical point of f x y 2x y 2 4y x y..

a Find the critical point of f x y 2x y 2 4y x y...

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Calculus

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a Find the critical point of f x y 2x y 2 4y x y b Find the discriminant D x y for the function D x y what is the value of the discriminant at the critical point D What does this tell us about the critical point The discriminant doesn t tell us anything c Sketch contours near the critical point to determine or confirm whether it is a local maximum a local minimum a saddle point or none The critical point is a saddle point

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