$x=f(t),y=g(t)$

is a singular point for a value ${t}_{0}$ of $t$,
characterized by the simultaneous conditions
$f\prime ({t}_{0})=g\prime ({t}_{0})=0$.

In this exercise, your goal is either to find a cusp in a
given parametric curve, or to determine the parametric curve
having a given cusp.
This exercise accepts several configuration parameters
which determine the aspect and the level of difficulty of
the problem asked.
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- Description: parametrize a parametric curve so that it has a cusp. interactive exercises, online calculators and plotters, mathematical recreation and games
- Keywords: interactive mathematics, interactive math, server side interactivity, geometry, analysis, curves, parametric_curves, cusp, singularity