# Given, ?(?) = { 4 , 0 ≤ ? < 2 ? + 1, 2 ≤...

###### Question:

Given, ?(?) = { 4 , 0 ≤ ? < 2 ? + 1, 2 ≤ ? < 4 (a) Sketch the graph of ?(?) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval −12 < ? < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out ?(?) in terms of Fourier coefficients you have found in Q1(b)

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