Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.1 - Three-Dimensional Coordinate Systems - 12.1 Exercises: 32

Answer

A cylinder with its center along the z-axis and radius 2.

Work Step by Step

In two-space, $x^2+y^2 = r^2$ is a circle with radius $r$. In three-space, we must account for all z-values. This creates a cylinder that extends along the z-axis.
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