8 Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) = 1+x? (Use decimal notation. Give your answer to three decimal places.) Af = Estimate the actual change. (Use decimal notation. Give your answer to six decimal places.) Af = Compute the error and the percentage error in the linear approximation. (Use decimal notation. Give your answer to six decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Using linear approximation to estimate f(3.2)-f(3) for f(x)8/(1+x^2)

8
Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) =
1+x?
(Use decimal notation. Give your answer to three decimal places.)
Af =
Estimate the actual change.
(Use decimal notation. Give your answer to six decimal places.)
Af =
Compute the error and the percentage error in the linear approximation.
(Use decimal notation. Give your answer to six decimal places.)
Transcribed Image Text:8 Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) = 1+x? (Use decimal notation. Give your answer to three decimal places.) Af = Estimate the actual change. (Use decimal notation. Give your answer to six decimal places.) Af = Compute the error and the percentage error in the linear approximation. (Use decimal notation. Give your answer to six decimal places.)
Af =
Compute the error and the percentage error in the linear approximation.
(Use decimal notation. Give your answer to six decimal places.)
The error in the Linear Approximation is
(Use decimal notation. Give your answer to two decimal places.)
The error in percentage terms is
Transcribed Image Text:Af = Compute the error and the percentage error in the linear approximation. (Use decimal notation. Give your answer to six decimal places.) The error in the Linear Approximation is (Use decimal notation. Give your answer to two decimal places.) The error in percentage terms is
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