Let F(x) = f*te t²e 3tª dt. Find the MacLaurin polynomial of degree 11 for F(x). T₁1 = 0.87 • ft 2² t².e-3¹ dt. Use this polynomial to estimate the value of
Let F(x) = f*te t²e 3tª dt. Find the MacLaurin polynomial of degree 11 for F(x). T₁1 = 0.87 • ft 2² t².e-3¹ dt. Use this polynomial to estimate the value of
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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![Let \( F(x) = \int_{0}^{x} t^2 e^{-3t^4} \, dt \).
Find the Maclaurin polynomial of degree 11 for \( F(x) \).
\[ T_{11} = \]
Use this polynomial to estimate the value of \( \int_{0}^{0.87} t^2 \cdot e^{-3t^4} \, dt \).
\[ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dbff557-c987-45fc-8dd6-6084416c9157%2F63a4ef9c-37c5-423e-a9af-c1d9c44bfb31%2F1xe9d3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( F(x) = \int_{0}^{x} t^2 e^{-3t^4} \, dt \).
Find the Maclaurin polynomial of degree 11 for \( F(x) \).
\[ T_{11} = \]
Use this polynomial to estimate the value of \( \int_{0}^{0.87} t^2 \cdot e^{-3t^4} \, dt \).
\[ \]
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