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. |approximation - exact| |exact| c. Compute the percent error in the approximation, 100 - where the exact value is given by a calculator. f(x) = (1000 + x) a = 0, f(– 0.1) a. L(x) =D

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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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.
lapproximation - exact|
Jexact|
c. Compute the percent error in the approximation, 100 •
where the exact value is given by a calculator.
f(x) = (1000 + x)
3
a=0; f(-0.1)
a. L(x) =D
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. lapproximation - exact| Jexact| c. Compute the percent error in the approximation, 100 • where the exact value is given by a calculator. f(x) = (1000 + x) 3 a=0; f(-0.1) a. L(x) =D
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