Sketch several periods of the corresponding periodic function of period 27. Expand the In each of the following problems you are periodic function in a sine-cosine Fourier series. 1, -7
Sketch several periods of the corresponding periodic function of period 27. Expand the In each of the following problems you are periodic function in a sine-cosine Fourier series. 1, -7
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Transcribed Image Text:Sketch several periods of the corresponding periodic function of period 27. Expand the
In each of the following problems you are given a function on the interval -7 <I< T.
Answer: f(z) =+(
periodic function in a sine-cosine Fourier series.
1, -7 <a < 0,
1. f(x) =
%3D
0<gくT。
In this case the sketch is:
-27
sin a
sin 3x
sin 5æ
Your answer for the series is: f(x) =
%3D
2
3
Can you use the ideas of Example 2 to find this result without computation?
(0, -Tくaく0,
2. f(x) =
1,
0,
くaくT。
Cos 2
cos 3x
cos 5x
Answer: f(x):
%3D
3
:).
sin a
2 sin 2a
sin 3x
sin 5x
2
3
5
O klN
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