Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 16 - Vector Calculus - 16.6 Parametric Surfaces and Their Areas - 16.6 Exercises - Page 1160: 13



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 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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