Recall that the Maclaurin series for f(r) = e is: e = Pe° dt. (a) Use this series to find a degree 11 polynomial for the function F(z2) = Pe* d Hint: Find F'(x) first. (b) Use your result from part (a) to approximate e ?² dx. Your final answer can be a decimal rounded to 4 decimal places.
Recall that the Maclaurin series for f(r) = e is: e = Pe° dt. (a) Use this series to find a degree 11 polynomial for the function F(z2) = Pe* d Hint: Find F'(x) first. (b) Use your result from part (a) to approximate e ?² dx. Your final answer can be a decimal rounded to 4 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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a, b
Transcribed Image Text:Recall that the Maclaurin series for f(r) = e is:
e =
Pe° dt.
(a) Use this series to find a degree 11 polynomial for the function F(z2) = Pe* d
Hint: Find F'(x) first.
(b) Use your result from part (a) to approximate e
?² dx.
Your final answer can be a decimal rounded to 4 decimal places.
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