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**find min/max:**

f(x,y)=xy with constraint being 4x^2+9y^2=32

f(x,y)=xy with constraint being 4x^2+9y^2=32

**[gradient]f=[lambda]gradient g**

## The Attempt at a Solution

I thought I understood the Lagrange problems, but I can't seem to get the minimum right on the last few problems. I get x=+/-2 and then plug back in to find y, then I use my critical points to find my min/max in f(x,y). I got 8/3 for my max on my problem (which is right), but can't get the minimum right. I set it up as such:

f(-2,-4/3)=xy and get +8/3 again, but the answer in the back of the book is -8/3 for the minimum. What am I doing wrong?