Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.5 Exercises - Page 700: 38

Answer

$\frac{x^{2}}{144}+\frac{y^{2}}{169}=1$

Work Step by Step

Vertices : $(0,\pm13)$ This means $b=13$ Foci: $(0, \pm 5)$ $c=5$ $a^2=b^2-c^2=169-25=144$ $\frac{x^{2}}{144}+\frac{y^{2}}{169}=1$, This is an equation of an ellipse.
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