. Find Fourier series of the following functions on the interval [-1, 1]:a) f(x) = sin(6r),b) f(x) = sin()c) f(x) = 1d) f(x) = x²e) f(x) = 1+ x2%3Dſ1 re[-1,0]x Ef) f(x) =x E (0, 1]so0 xe [-1,0]g) f(x)хе (0, 1]

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Answered: . Find Fourier series of the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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. Find Fourier series of the following functions on the interval [-1, 1]: a) f(x) = sin(6r), b) f(x) = sin() c) f(x) = 1 d) f(x) = x² e) f(x) = 1+ x2 S1 (1 xE|-1,0] f) f(x) = || те (0, 1] so 0 xE [-1,0] g) f(x) ле (0, 1]