Analyzing Parametric Equations

I saw a tweet that sumidiot posted on the parametric equations x(t)=t+c*\sin(2t) and y(t)=\cos(t) and spent a good 30 minutes thinking about the value of c which makes the graph intersect itself exactly once. I was going to post about my solution, but I was beaten to the punch. And thank goodness, because there are graphs and everything on sumidiot’s solution, which you should read here.

I still haven’t fully evaluated twitter, which I will post about later once I come to some solid conclusions. But I’m leaning towards liking it. I’ve got lots of good links, anyway. If you want to be my twitter friend, I’m here!


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