(a) Find the linear approximation of the function f(x) = /1– x about a = 0. Use it to approximate the square root of 9/10.
(a) Find the linear approximation of the function f(x) = /1– x about a = 0. Use it to approximate the square root of 9/10.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Hey, since there are multiple questions posted, we will answer the first question. If you want any specific question to be answered, then please submit that question only or specify the question number in your message.
Step 2
(a) The given function is .
We have to find the linear approximation of about .
We know that the linear approximation of a function about a is given by .
Here, we have and .
Now,
Therefore, when , by the linear approximation formula
Thus, the linear approximation of the function about is .
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