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Differential Equations If there are any general equations please include it and any notes you think is necessary

Consider the periodic function defined by
f(x) =
sin(x) 05xlt;T
and f(x) = f(2 + 27).
(a) Sketch f(x) on the interval -37 lt; gt; lt; 37.
(b) Find the complex Fourier series of f (a) and obtain from it the regular Fourier series.