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)= ;a=1; f(1.1) X X+1¹ a. L(x)= (Use integers or fractions for any numbers in the expression.)
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)= ;a=1; f(1.1) X X+1¹ a. L(x)= (Use integers or fractions for any numbers in the expression.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 9SC
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![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.
approximation- exact/
C. Compute the percent error in the approximation, 100 •
where the exact value is given by a calculator.
exact
f(x) =
X + 1
a = 1; f(1.1)
a. L(x) =|
(Use integers or fractions for any numbers in the expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec7a888d-f205-4cdb-8106-1ac64a94a20a%2Ff725188c-fb31-4e4d-95b4-17843a85da85%2Fzddw89_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.
approximation- exact/
C. Compute the percent error in the approximation, 100 •
where the exact value is given by a calculator.
exact
f(x) =
X + 1
a = 1; f(1.1)
a. L(x) =|
(Use integers or fractions for any numbers in the expression.)
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