Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 16 - Vector Calculus - 16.6 Exercises - Page 1132: 18

Answer

Plot $VI$

Work Step by Step

Given: $x=(1-|u|)cosv$ $y=(1-|u|)sinv$ and $z=u$ To find the grid curves corresponding to $u$ as constant, substitute $u=k$ $x=(1-|k|)cosv$ $y=(1-|k|)sinv$ and $z=k$ This represents a family of circles parallel to $xy$ plane with radius $=1-|k|=1-|z|$ Only Plot $VI$ contains circular grid curves with radius $1-|z|$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.