Calculus: Early Transcendentals 9th Edition

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

Chapter 16 - Section 16.6 - Parametric Surfaces and Their Areas - 16.6 Exercise - Page 1180: 15

Answer

Plot $I$

Work Step by Step

When $u$ is set as constant, the $z$ component becomes constant. Hence, the grid curves must be parallel to $xy$ plane. When $v$ is set as constant, the $y$ component becomes constant. Hence, the grid curves must be parallel to $xz$ plane. Only plot $I$ has pair of grid curves such that one of them is parallel to $xy$ plane and the other is parallel to $xz$ plane.
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