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. Japproximation- exact |exact| c. Compute the percent error in the approximation, 100 • where the exact value is given by a calculator. f(x) = 13-x at a= 2; f(1.9)
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. Japproximation- exact |exact| c. Compute the percent error in the approximation, 100 • where the exact value is given by a calculator. f(x) = 13-x at a= 2; f(1.9)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![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.
Japproximation - exact
|exact|
c. Compute the percent error in the approximation, 100 •
where the exact value is given by a calculator.
f(x) = 13-x at a = 2; f(1.9)
a. L(x) =|
%3D
b. Using the linear approximation, f(1.9) .
(Type an integer or a decimal.)
%.
c. The percent error in the approximation is
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2293bb01-2422-4bfb-86be-506243e426ef%2F636ab4a8-6439-4fba-8ace-7664c35a8979%2Foaa7ytk_processed.jpeg&w=3840&q=75)
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.
Japproximation - exact
|exact|
c. Compute the percent error in the approximation, 100 •
where the exact value is given by a calculator.
f(x) = 13-x at a = 2; f(1.9)
a. L(x) =|
%3D
b. Using the linear approximation, f(1.9) .
(Type an integer or a decimal.)
%.
c. The percent error in the approximation is
(Round to three decimal places as needed.)
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