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# sec10_5 - 10.5 Conic Sections 1 Parabolas An equation of...

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10.5 Conic Sections 1. Parabolas An equation of the parabola with focus (0 ,p ) and directrix y = - p is x 2 =4 py An equation of the parabola with focus ( p, 0) and directrix x = - p is y 2 px 2. Ellipses An equation of the ellipse with foci ( ± c, 0) , where c 2 = a 2 - b 2 , and vertices ( ± a, 0) is x 2 a 2 + y 2 b 2 =1 ,a b> 0 An equation of the ellipse with foci (0 , ± c ) , where c 2 = a 2 - b 2 , and vertices (0 , ± a ) is x 2 b 2 + y 2 a 2 0 1

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Section 10.5 Conic Sections 2 3. Hyperbolas An equation of the hyperbola with foci ( ± c, 0), where c 2 = a 2 + b
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## This note was uploaded on 03/14/2011 for the course MAC 2312 taught by Professor Zhang during the Fall '07 term at FSU.

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sec10_5 - 10.5 Conic Sections 1 Parabolas An equation of...

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