Use the Linear Approximation to estimate Af for f(x) 5+x2 when a = 2 and Ax = -. (Use decimal notation. Give your answer to five decimal places.) Aƒ = Compute the error and the percentage error. (Use decimal notation. Give your answer to four decimal places.) error: (Use decimal notation. Give your answer to two decimal places.) percentage error:

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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Question
11
Use the Linear Approximation to estimate Af for f(x) =
when a =
2 and Ax
%3D
5+x2
(Use decimal notation. Give your answer to five decimal places.)
Af =
Compute the error and the percentage error.
(Use decimal notation. Give your answer to four decimal places.)
error:
(Use decimal notation. Give your answer to two decimal places.)
percentage error:
%
1/2
Transcribed Image Text:11 Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax %3D 5+x2 (Use decimal notation. Give your answer to five decimal places.) Af = Compute the error and the percentage error. (Use decimal notation. Give your answer to four decimal places.) error: (Use decimal notation. Give your answer to two decimal places.) percentage error: % 1/2
Expert Solution
Step 1

Given :

  f(x) = 11  / 5+x2 

   a = 2 

   ∆x = - 1/2 = -0.5

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