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: 13

Answer

Plot $IV$

Work Step by Step

Given that $r(u,v)=ucosvi+usinvj+vk$ To find the grid curves corresponding to $u$ as constant, substitute $u=k$ $r(k,v)=kcosvi+ksinvj+vk$ This is an equation of a helix with circular orbits and constant radius $=k$ Only plot $IV$ and $V$ contain grid curves which are helix. But only plot $IV$ contains helical grid curves with constant radius.
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