(a) Find the eccentricity and directrix of the conic r = 1 / (4 3 cos...

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(a) Find the eccentricity and directrix of the conic r = 1 / (4 – 3 cos θ) and graph the conic and its directrix.
(b) If this conic is rotated counterclockwise about the origin through an angle π/3, write the resulting equation and graph its curve.
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