Estimate In 1.08 using the linearization L(x) of f(x) = In(x) at a = 1. (Use decimal notation. Give your answer to two decimal places.) L(1.08) Find the actual value of In(1.08). (Use decimal notation. Give your answer to five decimal places.) In(1.08) Calculate the percentage error of Linear Approximation. (Use decimal notation. Give your answer to two decimal places.) Percentage error as

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 17E
Question
-
Estimate In 1.08 using the linearization L(x) of f(x) = In(x) at a = 1.
(Use decimal notation. Give your answer to two decimal places.)
Search
L(1.08)
Find the actual value of In(1.08).
(Use decimal notation. Give your answer to five decimal places.)
x
F4
4
$
In(1.08)
Calculate the percentage error of Linear Approximation.
(Use decimal notation. Give your answer to two decimal places.)
Percentage error
C
F5
-
F6
F7
F8
55
%
91
6
&
27
*
8
R
T
Y
U
F
G TH TJ
F9
F10
8-
Resources
%
PriSc
Inse
F11
F12
(
9
0
K
P
| 1
+ 11
=
[
Transcribed Image Text:- Estimate In 1.08 using the linearization L(x) of f(x) = In(x) at a = 1. (Use decimal notation. Give your answer to two decimal places.) Search L(1.08) Find the actual value of In(1.08). (Use decimal notation. Give your answer to five decimal places.) x F4 4 $ In(1.08) Calculate the percentage error of Linear Approximation. (Use decimal notation. Give your answer to two decimal places.) Percentage error C F5 - F6 F7 F8 55 % 91 6 & 27 * 8 R T Y U F G TH TJ F9 F10 8- Resources % PriSc Inse F11 F12 ( 9 0 K P | 1 + 11 = [
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