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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa090fd06-34c7-4b81-bec0-4be5a3e0f7ff%2F64addfae-94e6-4633-bf5b-3d4b76cadb07%2Fieppqx_processed.png&w=3840&q=75)
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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