Find the linear approximation of the function f(x) = √25-x at a = 0 and use it to approximate the numbers √24.9 and √24.99. L(x) = 5 -0.1x √24.9 2.51 √24.99 = 2.501 X X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Find the linear approximation of the function f(x) = √/25-x at a = 0 and use it to approximate the numbers √24.9 and √24.99.
L(x) = 5 -0.1x
√24.9 2.51
√24.99 2.501
X
X
Transcribed Image Text:Find the linear approximation of the function f(x) = √/25-x at a = 0 and use it to approximate the numbers √24.9 and √24.99. L(x) = 5 -0.1x √24.9 2.51 √24.99 2.501 X X
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