Question
Sketch some of the level curves of the functions.$$f(x, y)=\sqrt{\frac{1}{y}-x^{2}}$$
Step 1
We can do this by squaring both sides and rearranging the equation to isolate y. So, we have: \[f(x, y)=\sqrt{\frac{1}{y}-x^{2}}\] Squaring both sides gives us: \[f(x, y)^2=\frac{1}{y}-x^{2}\] Rearranging the equation to isolate y gives Show more…
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