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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 c. Compute the percent error in the approximation, 100. approximation - exact exact where the exact value is given by a calculator f(x)=10-3x² at a=2f(19) a. L(x) = b. Using the linear approximation, f(1.9) (Type an integer or a decimal) c. The percent error in the approximation is (Round to three decimal places as needed.)

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)=10-3x² at a=2f(19) a. L(x) = b. Using the linear approximation, f(1.9) (Type an integer or a decimal) c. The percent error in the approximation is (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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 c. Compute the percent error in the approximation, 100. approximation - exact exact where the exact value is given by a calculator f(x)=10-3x² at a=2f(19) a. L(x) = b. Using the linear approximation, f(1.9) (Type an integer or a decimal) c. The percent error in the approximation is (Round to three decimal places as needed.)
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 c. Compute the percent error in the approximation, 100. approximation - exact exact where the exact value is given by a calculator f(x)=10-3x² at a=2f(19) a. L(x) = b. Using the linear approximation, f(1.9) (Type an integer or a decimal) c. The percent error in the approximation is (Round to three decimal places as needed.)
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