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.
Multivariable Calculus, 7th Edition
by Stewart, James
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
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