91Ó°ÊÓ

Use PolarPlot to graph (a) \(r=2 \cos \theta, 0 \leq \theta \leq \pi\) and (b) \(r=\cos 2 \theta, 0 \leq\) \(\theta \leq 2 \pi\).

Graph the function \(f(x, y)=\sin \left(x^{2}+y^{2}\right)\). Use the Interactive 3D control to rotate the graph in order to investigate the level curves of the function. Compare your findings to those obtained with ContourPlot.