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## Homework Statement

Consider the function f(x,y) = (x

^{2}+ 4y

^{2})e

^{(1-x2-y2)}

Find all critical points, and identify them as maxima, minima, or saddle points.

## The Attempt at a Solution

I took the partial of x and the partial of y, and set them equal to 0. This is what I got:

f

_{x}(x,y) = 4y

^{2}- x

^{2}- 1 = 0

f

_{y}(x,y) = 4y - 2x

^{2}+ 4 = 0

But from here I'm kind of lost. I took Calc 3 a year ago, last fall, and now I've had to recall a lot of it for my PChem class. This is one of our homework questions, and I'm just having a lot of trouble remembering what the steps are for this. Help is greatly appreciated. Thanks!