Determine the appropriate f(x) and a, and evaluate L(x) (1 + 11/01 ) ²⁰0 10 = f(a) + f'(a)(x − a). - Calculate the numerical error in the linear approximation. (Round your answer to five decimal places.)
Determine the appropriate f(x) and a, and evaluate L(x) (1 + 11/01 ) ²⁰0 10 = f(a) + f'(a)(x − a). - Calculate the numerical error in the linear approximation. (Round your answer to five decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Determine the appropriate \( f(x) \) and \( a \), and evaluate \( L(x) = f(a) + f'(a)(x - a) \).**
\[
\left( 1 + \frac{1}{10} \right)^{10}
\]
[Input Box]
**Calculate the numerical error in the linear approximation. (Round your answer to five decimal places.)**
[Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8a2c134-fb3c-44c6-97f5-4efcb1457dc7%2F7dc7d7ac-cd8c-44bf-8331-93b35114bae3%2Fdeolfmm_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine the appropriate \( f(x) \) and \( a \), and evaluate \( L(x) = f(a) + f'(a)(x - a) \).**
\[
\left( 1 + \frac{1}{10} \right)^{10}
\]
[Input Box]
**Calculate the numerical error in the linear approximation. (Round your answer to five decimal places.)**
[Input Box]
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