Find the Fourier Series [at least three non-zero terms (ao and at least two cosine terms...

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Find the Fourier Series [at least three non-zero terms (ao and at least two cosine terms and two sine terms if they are not all zero)] for the following periodic functions by using the Fourier Series [Eq'n 30.17, p. 953] and the Fourier Series Integrals [Eq'n 30.18, 30.19 and 30.20, p. 936] Sketch at least three periods of each function to aid in your calculations. Show all workings. 11. f(x) 11. = { -x TT x < 0 - x 0 x < y - 15 NX 3 5 II 4 [Ans.: ao = ; a1 = 2 ; a II = 4 0; a3 = 911' b = 0; b = 0; bn = 0 for all values of n; and f(x) = II =- 2 II - 2 - 4 4 - II :cosx + 0cos2x COSX 4 - - 911 4 cos3x + 911 cos3x+] Find the Fourier Series [at least three non-zero terms (ao and at least two cosine terms and two sine terms if they are not all zero)] for the following periodic functions by using the Fourier Series [Eq'n 30.17, p. 953] and the Fourier Series Integrals [Eq'n 30.18, 30.19 and 30.20, p. 936] Sketch at least three periods of each function to aid in your calculations. Show all workings. 11. f(x) 11. = { -x TT x < 0 - x 0 x < y - 15 NX 3 5 II 4 [Ans.: ao = ; a1 = 2 ; a II = 4 0; a3 = 911' b = 0; b = 0; bn = 0 for all values of n; and f(x) = II =- 2 II - 2 - 4 4 - II :cosx + 0cos2x COSX 4 - - 911 4 cos3x + 911 cos3x+]