Exercises 2 Let f(x) be a function of period 27 such that 0 < x < T T < x < 2T TT - x, f (1x) = { 0, a) Sketch a graph of f(x) in the interval -2n < x < 2n b) Show that the Fourier series for f(x) in the interval 0 < x < 27 is + 4 1 cos 3x + 32 Cos 5x + 52 COS x + 1 sin 4.x +... sin x + sin 2x + sin 3x + 3 c) By giving an appropriate value to x, show that 1 = 1+ 32 1 ... 8 52

Q: Exercises 2 Let f(æ) be a function of period 27 such that f(1) = {" *- a, 0<x < * 0, T <x < 27 a)…

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Q: A periodic function f(t) has a Fourier series (−1)" + 1 n² F(t) = 2 + ∞ ∞ cos(nat) + n=1 (²)…

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Q: Exercises 3 Let f(r) be a function of period 27 such that f(r) = r in the range < r < T. a) Sketch a…

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Q: 1. a) Find the Fourier series expansion of the periodic function of period 27, defined by, y =…

A: The given problem is to find the Fourier series expansion of the given periodic function with period…