B- Find the Maclaurin’s series expansion for J (х) —sin х +xcos x then use it to estimate the value of f(0.45)with the result conforming o three significant figures. - Use the first 3 non-zero terms of Maclaurin's series expansion of x² sin(2x)to estimate the value of 1 I = | x sin(2x) dx.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3- Find the Maclaurin's series expansion for
f(x)=sin x +x cos x
, then use it to estimate the value of f(0.45)with the result conforming
to three significant figures.
4- Use the first 3 non-zero terms of Maclaurin's series expansion of
x² sin(2x)to estimate the value of
1
I = |x sin(2.x) dx.
Transcribed Image Text:3- Find the Maclaurin's series expansion for f(x)=sin x +x cos x , then use it to estimate the value of f(0.45)with the result conforming to three significant figures. 4- Use the first 3 non-zero terms of Maclaurin's series expansion of x² sin(2x)to estimate the value of 1 I = |x sin(2.x) dx.
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