Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 16 - Multiple Integration - 16.6 Change of Variables - Exercises - Page 905: 26

Answer

${G_2}\left( {u,v} \right) = \left( {2 + 4u + 2v,2 + u + 3v} \right)$ ${G_3}\left( {u,v} \right) = \left( { - 1 + 4u + 2v,1 + u + 3v} \right)$

Work Step by Step

1. The translate ${G_2}$ Using Figure 15, we see that $a=2$, $b=2$. Therefore, ${G_2}\left( {u,v} \right) = \left( {2 + 4u + 2v,2 + u + 3v} \right)$ 2. The translate ${G_3}$ Using Figure 15, we see that $a=-1$, $b=1$. Therefore, ${G_3}\left( {u,v} \right) = \left( { - 1 + 4u + 2v,1 + u + 3v} \right)$
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.