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

z=f(x,y)= -[tex]\sqrt{9-2x^2-y^2}[/tex]

Sketch the level curves for f(x,y)

2. Relevant equations

3. The attempt at a solution

I am really poor at this. I let z = c (a constant) . Substituting c into the equation and rearranging it, I got this 9-c[tex]^{2}[/tex]=2x[tex]^{2}[/tex]+y[tex]^{2}[/tex]

From this, I know i will get a ellipse. But I am stuck here. How do I find the domain for c and the radius? Some hints will be helpful. Thanks

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# Homework Help: Sketching Level Curves

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