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Consider the Polar Equation r=95+3sinθr = \frac { 9 } { 5 + 3 \sin \theta }

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Consider the polar equation r=95+3sinθr = \frac { 9 } { 5 + 3 \sin \theta } .
(a) Find the eccentricity and an equation of the directrix of the conic.
(b) Identify the conic.
(c) Sketch the curve.


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