Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 14 - Section 14.1 - Functions of Several Variables - 14.1 Exercise - Page 946: 9

Answer

$D=\{(x,y)\in\mathbb{R}|x\ge 0, 4\ge4x^2+y^2\}$

Work Step by Step

The values under the square root must be greater than or equal to 0. Thus, we need values of x and y where $x\ge 0$ and $4\ge4x^2+y^2$. $D=\{(x,y)\in\mathbb{R}|x\ge 0, 4\ge4x^2+y^2\}$. In the image, the domain is the intersection of the two shaded regions.
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