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

Sketch the level curve of the surface [tex]z = \frac{x^2 - 2y + 6}{3x^2 + y}[/tex] belonging to height z = 1 indicating the points at which the curves cut the y−axis.

2. Relevant equations

3. The attempt at a solution

I put [tex]1 = \frac{x^2 - 2y + 6}{3x^2 + y}[/tex] but then don't know how to proceed.

The answer shows an inverted parabola at y = 2, but I don't know how to get that.

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# Sketching level curves of f(x,y)

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