Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.1 - The Ellipse - Exercise Set - Page 968: 89


small circle: $x^2+y^2=9$ large circle: $x^2+y^2=25$

Work Step by Step

Step 1. Using the figure in the exercise and given conditions, we have $a=5, b=3$, centered at $(0,0)$ for all curves. Step 2. For the small circle (green), we have $r=b=3$; thus the equation is $x^2+y^2=9$ Step 3. For the large circle (blue), we have $r=a=5$; thus the equation is $x^2+y^2=25$
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