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Find the Eccentricity and Directrix of the Conic r=31cosθ/2r = \frac { 3 } { 1 - \cos \theta / 2 }

question 29

Essay

Find the eccentricity and directrix of the conic r=31cosθ/2r = \frac { 3 } { 1 - \cos \theta / 2 } and graph the conic. Find an equation for the conic rotated counterclockwise about the origin through an angle π/6\pi / 6 , and graph it.

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