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1. Find the Fourier cosine series for f(x) = x on the interval 0 ≤ x...

1. Find the Fourier cosine series for f(x) = x on the interval 0 ≤ x ≤ π in terms of cos(kx). Hint: Use the even extension.

2. Find the Fourier sine series for f(x) = x on the interval 0 ≤ x ≤ 1 in terms of sin(kπx). Hint: Use the odd extension.

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