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
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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
Question
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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