2. This question concerns the function f(x) = x² exp(−) 0

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2. This question concerns the function
f(x) = x² exp(−)
0<x<2
(a) Use MATLAB to find the coefficients of the first five harmonics of the Fourier cosine
series for f(x) and plot its approximate series.
Your solution should include a copy of the m-file fnc.m which you use to obtain the
coefficients.
(b) Use MATLAB to find the coefficients of the first five harmonics of the Fourier sine
series for f(x) and plot its approximate series.
(c) Use MATLAB to plot the sine series with n terms in the cases = 10, 20, 30, 40, 50 and
comment on the results.
Transcribed Image Text:2. This question concerns the function f(x) = x² exp(−) 0<x<2 (a) Use MATLAB to find the coefficients of the first five harmonics of the Fourier cosine series for f(x) and plot its approximate series. Your solution should include a copy of the m-file fnc.m which you use to obtain the coefficients. (b) Use MATLAB to find the coefficients of the first five harmonics of the Fourier sine series for f(x) and plot its approximate series. (c) Use MATLAB to plot the sine series with n terms in the cases = 10, 20, 30, 40, 50 and comment on the results.
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