6 X, 一T Sx< 0, 10, f(x) = %3D f(x+27) = f(x) 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
In each of Problems 6 to 8
a. Sketch the graph of the given function for three periods.
b. Find the Fourier series for the given function.
6 f(x) =
0,
X, -T <xく 0,
0 <x < T;
f(x+27) = f(x)
Sx +1, -1 <x < 0,
11-x,
7 f(x) =
f(x+2) = f(x)
0<x < 1;
(x+L, -L< x <0,
0 < x < L;
8 f(x) =
f(x + 2L) = f(x)
%3D
L.
Transcribed Image Text:In each of Problems 6 to 8 a. Sketch the graph of the given function for three periods. b. Find the Fourier series for the given function. 6 f(x) = 0, X, -T <xく 0, 0 <x < T; f(x+27) = f(x) Sx +1, -1 <x < 0, 11-x, 7 f(x) = f(x+2) = f(x) 0<x < 1; (x+L, -L< x <0, 0 < x < L; 8 f(x) = f(x + 2L) = f(x) %3D L.
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