Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 13 - Functions of Several Variables - Review Exercises - Page 960: 1

Answer

$$\eqalign{ & \left( {\text{a}} \right)9 \cr & \left( {\text{b}} \right)3 \cr & \left( {\text{c}} \right)0 \cr & \left( {\text{d}} \right)6{x^2} \cr} $$

Work Step by Step

$$\eqalign{ & f\left( {x,y} \right) = 3{x^2}y \cr & \left( {\text{a}} \right)\left( {1,3} \right) \cr & {\text{Evaluate, substitute 1 for }}x{\text{ and 3 for }}y \cr & f\left( {1,3} \right) = 3{\left( 1 \right)^2}\left( 3 \right) = 9 \cr & \cr & \left( {\text{b}} \right)\left( { - 1,1} \right) \cr & {\text{Evaluate, substitute }} - {\text{1 for }}x{\text{ and 1 for }}y \cr & f\left( { - 1,1} \right) = 3{\left( { - 1} \right)^2}\left( 1 \right) = 3 \cr & \cr & \left( {\text{c}} \right)\left( { - 4,0} \right) \cr & {\text{Evaluate, substitute }} - 4{\text{ for }}x{\text{ and 0 for }}y \cr & f\left( { - 4,0} \right) = 3{\left( { - 4} \right)^2}\left( 0 \right) = 0 \cr & \cr & \left( {\text{d}} \right)\left( {x,2} \right) \cr & {\text{Evaluate, substitute }}2{\text{ for }}y \cr & f\left( {x,2} \right) = 3{x^2}\left( 2 \right) = 6{x^2} \cr} $$
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.