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: 15

Answer

Foci: $( 1, \pm \sqrt 5 )$ Vertices : $( 1,\pm 3)$

Work Step by Step

$9x^2-18x+4y^2=27$ Rewrite as $\frac{(x-1)^2}{(2)^2}+\frac{y^2}{(3)^2}=1$ $c^2=a^2-b^2=9-4=5$ $c=\sqrt 5$ Foci: $( 1, \pm \sqrt 5 )$ Vertices : $( 1,\pm 3)$
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