QUESTION 5 a) Consider the following periodic function 1+r, -1...

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QUESTION 5 a) Consider the following periodic function 1+r, -1 <z< 0, f(x) = 0 < < 1, 1-1, f(x) = f(r+2). i. Determine whether f(r) is even, odd or neither. ii. Hence, find the Fourier series of f(r). b) Find the Fourier sine series of the following function 0 <z< 1, { 0, g(z) = 1, 1<z< 2. g(x) = 9(x + 4). %3D QUESTION 5 a) Consider the following periodic function 1+r, -1 <z< 0, f(x) = 0 < < 1, 1-1, f(x) = f(r+2). i. Determine whether f(r) is even, odd or neither. ii. Hence, find the Fourier series of f(r). b) Find the Fourier sine series of the following function 0 <z< 1, { 0, g(z) = 1, 1<z< 2. g(x) = 9(x + 4). %3D