Thomas' Calculus 13th Edition

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

Chapter 3: Derivatives - Section 3.9 - Linearization and Differentials - Exercises 3.9 - Page 175: 31

Answer

x. +dx=1.0+1=1.1 so using in given formula in part a = 1.1^3 -1.1-(1^3-1) =1.331-1.1-0 =0.231 now for df/dx df/dx =3x-1 df=(3(1)-1)*dx df=(2)*0.1 df=0.2 the approximation error =Idaltaf - dfI =I0.231- 0.2I =0.031 So, the approximation error is 0.031

Work Step by Step

a. 0.231 b.0.2 c.the approximate error = 0.031
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