(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the product of the maximum and minimum values of the function f(x, y) = xy

on the ellipse (x^2)(1/9) + y^2 = 2

3. The attempt at a solution

I tried soving using lagrange multiplier and got:

fx = y - (2/9)(x*lambda)

fy = x - 2y*lambda

flambda = (x^2)(1/9) + y^2 - 2

then I set these = 0, but my answer came out wrong.. any suggestions for figuring out the min/max?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Finding max/min given contraint

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