Linearize f(x) = √2-x for a = 1 and use it to approximate the value of √1.5. L(x) = The approximated value of √1.5 is. (Round to two decimal places as needed.)
Linearize f(x) = √2-x for a = 1 and use it to approximate the value of √1.5. L(x) = The approximated value of √1.5 is. (Round to two decimal places as needed.)
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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Transcribed Image Text:Linearize f(x)=√√√2-x for a = 1 and use it to approximate the value of √1.5.
L(x) =
The approximated value of √1.5 is.
(Round to two decimal places as needed.)
Expert Solution
Step 1
The given problem is to linearize the f(x) for a=1 and also to find the approximate value of √1.5
Given f(x)=√(2-x).
We have to use the formula of linearization of the function and then we can find the approximate value of √1.5
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