$$\text { Consider the polar equation } r = \frac { 7 } { 5 + 5 \cos \theta } \text {. }$$

Essay

$$\text { Consider the polar equation } r = \frac { 7 } { 5 + 5 \cos \theta } \text {. }$$ (a) Find the eccentricity and an equation of the directrix of the conic.
(b) Identify the conic.
(c) Sketch the curve.