Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.6 - Cylinders and Quadric Surfaces - Exercises 12.6 - Page 732: 13

Answer

See image:
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Work Step by Step

No z in the equation $\Rightarrow$ the z-axis is the axis of the cylinder. In the plane xy, the surface leaves a circle of radius 2 as a trace. We draw several circles of radius 2, above each other, centered on the z-axis and then draw the cylinder.
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