Find all local maxima, local minima, and saddle points for f(x₁,x₂)=x²-3xx²+x₂² (a) (0,0) iù a saddle point, (3-3) ( 3 3 2 2 are each a local minimum of f. 2 2 3 3 3 3 (b) (0,0) is a saddle point, ( are each a local minimum of f. 2'2 2'2 3 3 (c) (0,0) is a saddle point, are each a local maximum of f. 2'2 (d) (0,0) is a saddle point, are each a local maximum of f. 3|2 25) MIN MIN

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