# Parametric cusp --- Introduction ---

A cusp of a plane parametric curve
$x=f\left(t\right),y=g\left(t\right)$
is a singular point for a value ${t}_{0}$ of $t$, characterized by the simultaneous conditions
$f\prime \left({t}_{0}\right)=g\prime \left({t}_{0}\right)=0$.
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.
• Values to determine:
• his tolerance should be between 0.000001 and 0.01.
Other exercises on:
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• Description: parametrize a parametric curve so that it has a cusp. serveur web interactif avec des cours en ligne, des exercices interactifs en sciences et langues pour l'enseigment primaire, secondaire et universitaire, des calculatrices et traceurs en ligne
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