The periodic function 0< and z < 4 7 4T and z < 8 m 5. f(z) = S( +8 7) otherwise has period 8 r and its graph is displayed below. 5- 4- 2- 1- -1- The function can be approximate by the Fourier series f (z) = ao + 1 (an cos (nz) +bm sin Calculate the coefficients of the Fourier series and enter them below in Maple syntax. a2k-1 = a2k bzk-1 %3D for k = 1, 2, ...

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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The periodic function
0< and r< 4 7
f(x) =
4 T<a and I< 8 T
S ( +8 m)
otherwise
has period 8 n and its graph is displayed below.
6.
4-
2-
1
8%
-1.
The function can be approximate by the Fourier series
f (x) = an + 0
E 1 (an cos ( na) + bn sin ( nz))
Calculate the coefficients of the Fourier series and enter them below in Maple syntax.
a0 =
0.
a2k-1 =
a2k =
bっk-1=
b2k
for k = 1, 2, ...
Transcribed Image Text:The periodic function 0< and r< 4 7 f(x) = 4 T<a and I< 8 T S ( +8 m) otherwise has period 8 n and its graph is displayed below. 6. 4- 2- 1 8% -1. The function can be approximate by the Fourier series f (x) = an + 0 E 1 (an cos ( na) + bn sin ( nz)) Calculate the coefficients of the Fourier series and enter them below in Maple syntax. a0 = 0. a2k-1 = a2k = bっk-1= b2k for k = 1, 2, ...
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