Multivariable Calculus, 7th Edition

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

Chapter 14 - Partial Derivatives - 14.1 Exercises - Page 916: 70

Answer

a. Shift the graph of f(x,y) in the +x direction by 2 units. b. Shift the graph of f(x,y) in the -y direction by 2 units. c. Shift the graph of f(x,y) in the -x direction by 3 units, and then shift in the +y direction by 4 units.

Work Step by Step

Analogy with 2D graphs where $f(x-c)$ meant shifting to the right (the +x direction) by c units, $f(x+c)$ meant shifting to the left (the -x direction) by c units,
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