[tex]V(x,y) = x^{2}+y^{2} - z; [/tex](adsbygoogle = window.adsbygoogle || []).push({});

I need to find the equilibrium points of this guy. I can do this in my sleep for two dimensions but I'm not getting anything useful with this particular function.

What would the graph look like for V(x,y) = c, c is arbitrary constant. It's a cone, I know, but I'm not sure how to graph it out.

Any suggestions?

If anybody cares, this is what the plot looks like in matlab. Looks like the EP is (0,0,0).

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# Equilibrium points

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