a. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. lapproximation - exact| Jexact| c. Compute the percent error in the approximation, 100 • where the exact value is given by a calculator. 1 f(x) = x +1 1 a = 0; 1.1 a. L(x) = - 1x + 1 b. Using the linear approximation, 0.900 (Round to three decimal places as needed) c. The percent error in the approximation is 1.000 %. (Round to three decimal places as needed)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 8T
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How do we get the given answer of 0.900 for part b?

a. Write the equation of the line that represents the linear approximation to the following function at the given point a.
b. Use the linear approximation to estimate the given quantity
c. Compute the percent error in the approximation, 100 •
approximation - exact
where the exact value is given by a calculator.
|exact|
1
f(x)%3D
x+1
1.
a = 0;
1.1
a. L(x)= - 1x+1
b. Using the linear approximation,
0.900
1.1
(Round to three decimal places as needed )
N
c. The percent error in the approximation is 1.000 %
(Round to three decimal places as needed)
Transcribed Image Text:a. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity c. Compute the percent error in the approximation, 100 • approximation - exact where the exact value is given by a calculator. |exact| 1 f(x)%3D x+1 1. a = 0; 1.1 a. L(x)= - 1x+1 b. Using the linear approximation, 0.900 1.1 (Round to three decimal places as needed ) N c. The percent error in the approximation is 1.000 % (Round to three decimal places as needed)
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