Answer
$\frac{x^{2}}{9}-\frac{y^{2}}{36}=1$
Work Step by Step
Here, $a=3$ and also the asymptotes are $y=\pm2x$
which gives $\frac{b}{a}=2$
Put $a=3$ to get $b=6$
The equation of the hyperbola is
$\frac{x^{2}}{9}-\frac{y^{2}}{36}=1$
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: 47
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