(1 + x) -3= 1 – 3x
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.4: Irrational Square Roots
Problem 9MRE
Related questions
Question
Verify the given linear approximation at a=0 . Then
determine the values of x for which the linear approximation is
accurate to within 0.1.
![(1 + x)
-3= 1 – 3x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F172dc820-2806-4b83-b45d-4d304b28bef3%2F8236c8ac-137a-4585-8302-2e7c09718648%2F9ze0otf.png&w=3840&q=75)
Transcribed Image Text:(1 + x)
-3= 1 – 3x
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The linear approximation: for a function at is defined by the formula:
Step 2
Calculate for the function: as follows.
Substitute in the equation: to obtain the linear approximation of the function: at .
Hence, it is proved that .
Step by step
Solved in 3 steps with 1 images
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