Prove that there is exactly one time when the particle crosses the line \(y=x\text{.}\) Let \(x=2\sin t+1\) and \(y=2t^3-3\) define a parametric curve. Find \(\ds \frac{d^2y}{dx^2}\) as a function of ...

Optimization - Elvis the Dog 4.7 Elvis the Calculus Wonderdog! Newton's Method 4.8 A dynamic ... Circle, Ellipses and Lissajous Parametric Curves Applet 10.1 Some of the most basic parametric curves.