Suppose f(x)=√x is to be approximated near x=8. Find the linear approximation to f at x = 8. Then, complete the following table, showing the errors in the various approximations. Use a calculator to obtain the exact values. The percent error is calculated using the formula below. Comment on the behavior of the errors as x approaches 8. 100 approximation-exact exact Complete the linear approximation column of the table. (Round to seven decimal places as needed.) X Linear approx 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 L X 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 7.9 Linear Exact Perc approx. value err

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Suppose fox)= x is to be approximated near x 8. Find the linear approximation to fat x= 8. Then, complete the following table, showing the errors
in the various approximations. Use a calculator to obtain the exact values. The percent error is calculated using the formula below. Comment on the
8.1
8.01
8.001
8.0001
7.9999
7.999
7.99
7.9
Linear Exact Percent
арprox. value
error
behavior of the errors as x approaches 8.
100 lapproximation - exact
lexact
Complete the linear approximation column of the table.
(Round to seven decimal places as needed.)
Linear approx
8.1
8.01
8.001
8.0001
7.9999
7.999
7.99
7.9
Transcribed Image Text:Suppose fox)= x is to be approximated near x 8. Find the linear approximation to fat x= 8. Then, complete the following table, showing the errors in the various approximations. Use a calculator to obtain the exact values. The percent error is calculated using the formula below. Comment on the 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 7.9 Linear Exact Percent арprox. value error behavior of the errors as x approaches 8. 100 lapproximation - exact lexact Complete the linear approximation column of the table. (Round to seven decimal places as needed.) Linear approx 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 7.9
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