- #1
ultra100
- 9
- 0
Homework Statement
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
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?