A function f(t) defined on an interval 0
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
Find the Fourier sine and cosine series and find the first 4 terms!
Transcribed Image Text:A function f(t) defined on an interval 0<t<L is given. Find the Fourier cosine and sine series of f and sketch the graphs
of the two extensions of f to which these two series converge.
(
f(t) =
0<t≤3;
12-2t, 3≤t<6
2t,
Type the first four non-zero terms of the Fourier cosine series of f.
f(t) = + ...
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Step 1: Analysis and Introduction.
VIEWStep 2: Check whether the function is odd/even
VIEWStep 3: Compute the coefficient of cosine series.
VIEWStep 4: Compute the integration on coefficient of cosine series.
VIEWStep 5: Find four terms of cosine series.
VIEWStep 6: Compute the coefficient of sine series.
VIEWStep 7: Graphs of f in two extensions
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