Hi!(adsbygoogle = window.adsbygoogle || []).push({});

Given a function [tex] r:\mathbb{R} \rightarrow \mathbb{R}^2, r(t) = (f_1(t), f_2(t))[/tex], is there a way to analytically determine if there are points (x1, x2) where r(t) = (x1, x2) for multiple t-values?

Lets say i was to find such points for the function [tex] r(t) = (t^3-t, 3t^2 + 1) [/tex]

How should i go about finding the points without having to plot the graf?

Thanks!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Parameterized function crosses own path

Loading...

Similar Threads - Parameterized function crosses | Date |
---|---|

I Derivative and Parameterisation of a Contour Integral | Feb 7, 2018 |

I What is the purpose of Arc-Length Parameterization? | Sep 18, 2016 |

I Parameterize an offset ellipse and calculate the surface area | Mar 16, 2016 |

Question on Arc Length parameterization. | Apr 8, 2013 |

Parameterizing z-value of Cylinder in Line Integral Projection (Using Stokes Theorem) | May 10, 2012 |

**Physics Forums - The Fusion of Science and Community**