Use local linearization to approximate √16.4 as follows: Let f(x)=√x. The local linearization of f at 16 is l16(x) = yo+m(x - 16), where m= and yo = Using this, we find our approximation √16.4~ l16 (16.4) = NOTE: For this part, use fractions or give your approximation to at least 9 significant figures.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
icon
Related questions
Question
Use local linearization to approximate √16.4 as follows:
Let f(x)=√x. The local linearization of f at 16 is 116(x) = yo+m(x - 16),
where m= and yo =
Using this, we find our approximation √16.4 116(16.4) =
NOTE: For this part, use fractions or give your approximation to at least 9 significant figures.
31
≈
Nov 4
Transcribed Image Text:Use local linearization to approximate √16.4 as follows: Let f(x)=√x. The local linearization of f at 16 is 116(x) = yo+m(x - 16), where m= and yo = Using this, we find our approximation √16.4 116(16.4) = NOTE: For this part, use fractions or give your approximation to at least 9 significant figures. 31 ≈ Nov 4
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning