Sketch the graph of the curve whose equation in polar coordinates is \(r=1-2\cos\theta\text{,}\) \(0\leq \theta \lt 2\pi\text{.}\) Sketch the graph of the curve whose equation in polar coordinates is ...

This question concerns the curve \(x=2\cos 3t\text{,}\) \(y=2\sin 2t\) for \(0\leq t\leq 2\pi\text{.}\) Find \(dy/dx\) for this curve. Find the equation of the two tangent lines at the origin.