Use linearization to estimate v26. Use L(x) = f(a) + f'(a)(x – a), where f(x) = vx and a = 25. Once you have the line L(x), simply input x = 26 and evaluate.
Use linearization to estimate v26. Use L(x) = f(a) + f'(a)(x – a), where f(x) = vx and a = 25. Once you have the line L(x), simply input x = 26 and evaluate.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Using Linearization to Estimate \(\sqrt{26}\)**
To estimate \(\sqrt{26}\), apply the linear approximation formula:
\[ L(x) = f(a) + f'(a)(x - a) \]
where \( f(x) = \sqrt{x} \) and \( a = 25 \).
Once you have found the linear function \( L(x) \), input \( x = 26 \) and evaluate the result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3582dc40-8580-4398-8862-6fe765d61089%2Fb5cbf38e-8881-4c7a-a68c-d399001d9e14%2Fjpbr5sq_processed.png&w=3840&q=75)
Transcribed Image Text:**Using Linearization to Estimate \(\sqrt{26}\)**
To estimate \(\sqrt{26}\), apply the linear approximation formula:
\[ L(x) = f(a) + f'(a)(x - a) \]
where \( f(x) = \sqrt{x} \) and \( a = 25 \).
Once you have found the linear function \( L(x) \), input \( x = 26 \) and evaluate the result.
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