Find the Fourier series of whose graph is an triangle with vertices at and is assumed to have a period . Show the details of your work. Sketch or graph the partial sums up to that including cos5x and sin 5x.

Find the Fourier series of whose graph is an triangle with vertices at and is assumed to have a period . Show the details of your work. Sketch or graph the partial sums up to that including cos5x and sin 5x.

2) Using Parseval’s identity, show that

Find the Fourier transform of

Show that if f(x) has a Fourier transform, so does f(x-a), and its Fourier transform is

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