Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.1 - Functions of Several Variables - Exercises 14.1 - Page 787: 1

Answer

a. $f(0,0)=0$ b. $f(-1,1)=0$ c. $f(2,3)=58$ d. $f(-3,-2)=33$

Work Step by Step

For each of the following, plug the x value into x and the y value into y. Then solve each equation by simplifying: a. $f(0,0)=(0)^2+(0)(0)^3=0$ b. $f(-1,1)=(-1)^2+(-1)(1)^3=0$ c. $f(2,3)=(2)^2+(2)(3)^3=58$ d. $f(-3,-2)=(-3)^2+(-2)^3(-3)=33$
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