# MTH 251 Lecture Notes - Lecture 33: Parametric Equation

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15 May 2018

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Section : Parametric equations

Suppose an ant traces out a path on a flat surface

Suppose the curve is something like:

This curve is neither a function of nor

But both and are functions of ; we can write

So, for a given we have the point

These are called parametric equations, as varies, traces out the curve.

Example: Sketch

No restriction no here.

We can eliminate the parameter :

So,

Sometime, can be restricted: