Find the osculating circle $C$ of the parabola $x^2+y=0$ at the origin $(0,0)$. Find a function $f(x,y)$ such that $C$ is a level curve of $f$.
Please, solve the problem completely with precise function $f$. Thanks in advance!
2026-03-25 04:37:21.1774413441
Osculating circle with level curve of function
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