Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - 12.1 Exercises - Page 815: 31

Answer

A solid sphere centered at the origin with radius $\sqrt 3$.

Work Step by Step

The given inequality has the form of a sphere centered at the origin with radius less than or equal to $\sqrt 3$. This inequality therefore represents all the spheres with radii less than or equal to $\sqrt 3$ and center at (0, 0, 0). Putting all these together, we get a solid sphere with radius $\sqrt 3$ and center (0, 0, 0).
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