Compute T₂(x) at x = 0.7 for y=e" and use a calculator to compute the error |eª – T₂(x)| at x = 1.5. T₂(x): |eª – T₂(x)| = =
Compute T₂(x) at x = 0.7 for y=e" and use a calculator to compute the error |eª – T₂(x)| at x = 1.5. T₂(x): |eª – T₂(x)| = =
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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![To compute the Taylor polynomial \( T_2(x) \) at \( x = 0.7 \) for \( y = e^x \), and use a calculator to compute the error \( |e^x - T_2(x)| \) at \( x = 1.5 \), please follow the instructions below:
First, find the second-degree Taylor polynomial \( T_2(x) \):
\[ T_2(x) = \]
Next, calculate the absolute error between the actual value \( e^x \) and the Taylor polynomial \( T_2(x) \) at \( x = 1.5 \):
\[ |e^x - T_2(x)| = \]
Note: Use a scientific calculator for the calculations to ensure accuracy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85a13651-0641-4e1f-9366-64e873b85445%2F2e1f6bb5-858a-41df-8093-618b3c6cb1ef%2F55ke9cf_processed.png&w=3840&q=75)
Transcribed Image Text:To compute the Taylor polynomial \( T_2(x) \) at \( x = 0.7 \) for \( y = e^x \), and use a calculator to compute the error \( |e^x - T_2(x)| \) at \( x = 1.5 \), please follow the instructions below:
First, find the second-degree Taylor polynomial \( T_2(x) \):
\[ T_2(x) = \]
Next, calculate the absolute error between the actual value \( e^x \) and the Taylor polynomial \( T_2(x) \) at \( x = 1.5 \):
\[ |e^x - T_2(x)| = \]
Note: Use a scientific calculator for the calculations to ensure accuracy.
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