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Question: sketch a graph of the function f defined on the...

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B2. (a) sketch a graph of the function f defined on the domain 0 S S T by f(ar) 0, S nr. (2 marks) (b) Obtain the Fourier cosine series of period 2T which represents f on the domain 0 r (9 marks) (c) By letting z in the Fourier cosine series obtained in (b), evaluate the series 1 (1 cos 2 2 2 COS 22 62 102 (5 marks) (d) Sketch the graph of the function that the Fourier cosine series for f(T obtained in (b) converges to over the domain r 3T. (4 marks)


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