Analyze the Graph of the Given Polar Curve $$r = 3 \cos 3 \theta - \sin 3 \theta$$

Essay

Analyze the graph of the given polar curve. Include the following information: If possible, describe the shape of the
graph (circle, rose curve, limacon, etc.), and state the domain, range, and maximum r-value of the graph. State whether the
graph is continuous and whether it is bounded. Describe any symmetry that the graph has. Give the equations of any
asymptotes or state that the graph has no asymptotes.
- $$r = 3 \cos 3 \theta - \sin 3 \theta$$