Question: Obtain the surface and contour plots for the function z = -x 2 + 2xy + 3y 2 . This surface has the shape of

Obtain the surface and contour plots for the function z = -x² + 2xy + 3y². This surface has the shape of a saddle. At its saddlepoint at x = y = 0, the surface has zero slope, but this point does not correspond to either a minimum or a maximum. What type of contour lines corresponds to a saddlepoint?

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