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Tricky visualization of maximization problem

• To: mathgroup at smc.vnet.net
• Subject: [mg71034] [mg71004] Tricky visualization of maximization problem
• From: Uwe Ziegenhagen <newsgroup at ziegenhagen.info>
• Date: Mon, 6 Nov 2006 02:52:34 -0500 (EST)
• Organization: Humboldt Universitaet zu Berlin

Hi,

I want to maximize

x1^2 + 4*x1*x2 + 3*x2^2  (eq.1)

under the constraint

x1^2 + x2^2 == 1 (eq. 2)

So far no problem, Maximize gives me 2 + sqrt(5)

But how can I display this visually?

For eq. 1 I can use Plot3D[], for eq. 2 ImplicitPlot[] but how to have
them in one picture?


Thanks in advance,


Uwe