Find the linear approximation of the function f(x) = √√4 - x at a = 0. L(x) = 2 3.99 - X 4 Use L(x) to approximate the numbers √3.9 and 3.99. (Round your answers to four decimal places.) 3.9 1.925 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Find the linear approximation of the function f(x)
4x9-2-4
L(x)
=
Use L(x) to approximate the numbers 3.9 and
√3.9 1.925
X
3.99
=
√4x at a = 0.
3.99. (Round your answers to four decimal places.)
Transcribed Image Text:Find the linear approximation of the function f(x) 4x9-2-4 L(x) = Use L(x) to approximate the numbers 3.9 and √3.9 1.925 X 3.99 = √4x at a = 0. 3.99. (Round your answers to four decimal places.)
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