We have that the code outputs are
Generally The Matlab Code mathematically given as
f = [0.00 3.44 6.35 8.31 9.06 8.60 7.12 4.98 2,60 0.39 -1.36 -2.48 -3.00 -3.07 -2.89 -2.68 -260 -2.68 -2.88 -3.06 -3.06 -2.76 -2.11 -1.15 0.00 1;
f_ext = [-flip(f(2:25)); f1; % odd extension of f; plot(f_ext)
N = numel(f_ext); x = linspace(-pi, pi, N)';
b = zeros(4, 1);
for k = 1:4
b(k, 1) = 1/pi • cumtrapz(x, sin(k*x) .* f_ext)(N);; % integral approximation.
end
fprintf("%.2f\n“, b) % print b to stdout
Therefore
We have outputs
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