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 exact where the exact value is given by a calculator f(x)=13-xat a=3; f(3.1)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
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.
c. Compute the percent error in the approximation, 100-
approximation - exact
exact
where the exact value is given by a calculator
f(x)=13-x² at a=3; f(3.1)
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 exact where the exact value is given by a calculator f(x)=13-x² at a=3; f(3.1)
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