A periodic function f(x)=f(x+27) is given by -7≤X<0 2 f(x)= A-X , 0≤x≤a 2 (a) Sketch f(x) and state whether it is odd, even or neither. (b) Hence determine the Fourier series of f(x).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 1
A periodic function f(x) = f(x+27) is given by
X+7
-7≤X<0
2
f(x) =
T-X
, 0≤x≤
2
(a) Sketch f(x) and state whether it is odd, even or neither.
(b) Hence determine the Fourier series of f(x).
.
Transcribed Image Text:Question 1 A periodic function f(x) = f(x+27) is given by X+7 -7≤X<0 2 f(x) = T-X , 0≤x≤ 2 (a) Sketch f(x) and state whether it is odd, even or neither. (b) Hence determine the Fourier series of f(x). .
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