Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 10 - Parametric Equations and Polar Coordinates - 10.5 Conic Sections - 10.5 Exercises - Page 720: 38


$\dfrac{x^{2}}{2}+\dfrac{y^{2}}{4}=1$, which represents an equation of ellipse.

Work Step by Step

From the given vertices : $(0,\pm2)$ we find that $b=2$ and from foci: $( 0,\pm 2)$ we have $c=\sqrt 2$ and $a=\sqrt 2$ Hence, $\dfrac{x^{2}}{2}+\dfrac{y^{2}}{4}=1$, which represents an equation of ellipse.
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