Hello. I had always been annoyed when dealing with parametric equations but it finally dawned on me how awesome the concept it. I want to make sure I understand things properly.(adsbygoogle = window.adsbygoogle || []).push({});

So say I have a regular straight line given by rectangular equation y=2x+1

Now I can graph this. Now say I want to consider a particle moving in motion along the path of that line. But say I want that particle to move with exponential speed, say e^t, so shouldn't I then be able to paramaterize the curve to represent that? Is there any simple algorithmic process to do so?

Thanks!

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# Paramaterizing a curve

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