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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.10: Inverse Variation
Problem 8P
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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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