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Find the local maximum and minimum values and saddle point(s) of the function f ( x...

Find the local maximum and minimum values and saddle point(s) of the function f ( x , y ) = f(x,y)=xe^(-2x2-2y2). If there are no local maxima or minima or saddle points, enter "DNE."

The local maxima are at ( x , y ) = (x,y)= .

The local minima are at ( x , y ) = (x,y)= .

The saddle points are at ( x , y ) =

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