Chapter 12.6, Problem 40E

To determine

a)

To find:

The eccentricity and the directrix of the conic $r=\frac{9}{2+2\cos \theta }$.

To determine

b)

To find:

Resulting equation of the conic obtained after rotation by $\theta =-\frac{5\pi }{6}$

To determine

c)

To sketch:

The graph of the original conic and rotated conic on the same screen.