Chapter 12.6, Problem 21E

To determine

(a)

To show:

The given conic $r=\frac{4}{2-\cos \theta }$ is an ellipse and plot its graph.

To determine

(b)

The vertex and directrix of the conic $r=\frac{4}{2-\cos \theta }$, and denote vertex and directrix in the graph.

To determine

(c)

The center, length of the major axis and length of the minor axis of the conic $r=\frac{4}{2-\cos \theta }$.