Looking to find and classify critical points:

subject to constraint:

So, let

which gives:

which gives:

Thus:

And I'm stuck...

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- Oct 17th 2009, 02:29 PMbillymLagrange Argh...
Looking to find and classify critical points:

subject to constraint:

So, let

which gives:

which gives:

Thus:

And I'm stuck... - Oct 17th 2009, 02:43 PMtonio

...then you continue! Cross multiply and get: 2x^2 + 3yx - 2y^2 = 0 . This is a quadratic in x, and solving it we get 2(x + 2y)(x - y/2) = 0 ==> input these solutions for x now in g(x,y) and find y, and then x. I thinbk there are 4 different points, two of which are (2,4) and (-2, -4)...check this, though! I could easily be wrong...

Tonio - Oct 17th 2009, 04:07 PMbillym
ugh... I think my brain might is broken:

for

for :

?!! - Oct 17th 2009, 04:37 PMtonio
- Oct 17th 2009, 04:37 PMbillym
?

- Oct 17th 2009, 08:28 PMtonio