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: 2


a. $f(2,π/6)=\sqrt 3/2$ b. $f(-3, π/12)=-\sqrt 2/2$ c. $f(π, 1/4)=\sqrt 2/2$ d. $f(-π/2,-7)=-1$

Work Step by Step

For each of the following, plug the x value into x and the y value into y. Then solve the equation by simplifying: a. $f(2,π/6)=sin(2\times π/6)=\sqrt 3/2$ b. $f(-3, π/12)=sin(-3\times π/12)=-\sqrt 2/2$ c. $f(π, 1/4)=sin(π/4)=\sqrt 2/2$ d. $f(-π/2,-7)=sin(-π/2\times -7)=-1$
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