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 - 10.3 Exercises - Page 687: 15

Answer

This curve represents a circle with radius equal to $\sqrt 5$ and center at $(0,0)$.

Work Step by Step

- Knowing that $r^2 = x^2 + y^2$ $r^2 = 5$ $x^2 + y ^2 = 5$ - This Cartesian equation follows the pattern* for a circle with its center at the origin (0,0), and the radius is equal to $\sqrt {(radius)^2} = \sqrt 5$. * Pattern: $x^2 + y^2 = (radius)^2$
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