Chapter 6.9, Problem 77E

(a)

To determine

The type of conic represented by the equation $r=\frac{4}{1-0.4\cos \theta }.$

(b)

To determine

The way in which the type of conic represented by $r=\frac{4}{1-0.4\cos \theta }$ differs from $r=\frac{4}{1+0.4\cos \theta }$ and $r=\frac{4}{1-0.4\sin \theta }$.

(c)

To determine

To graph: The conic equations $r=\frac{4}{1-0.4\cos \theta }$, $r=\frac{4}{1+0.4\cos \theta }$, and $r=\frac{4}{1-0.4\sin \theta }$ by using graphing utility and verify the result of part $\left(b\right)$.