Given the function f(x) = a) b) c) cos(x), 0...

 

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Given the function f(x) = a) b) c) cos(x), 0<x< 1/1/2 2x-1, <x<n 2 Plot the graph of the periodic extension of f(x) as i) ii) iii) for the interval [-4, 5π] using a computer aided tool. an even extension. an odd extension. neither odd nor even. For each extension, find the first four terms of the Fourier Series. Hence, evaluate f(0) using the Fourier Sine series expansion. Given the function f(x) = a) b) c) cos(x), 0<x< 1/1/2 2x-1, <x<n 2 Plot the graph of the periodic extension of f(x) as i) ii) iii) for the interval [-4, 5π] using a computer aided tool. an even extension. an odd extension. neither odd nor even. For each extension, find the first four terms of the Fourier Series. Hence, evaluate f(0) using the Fourier Sine series expansion.