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A function is defined over (0,6) by 0

A function is defined over (0,6) by 0

Advanced Engineering Mathematics
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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A function is defined over (0,6) by 0<z and a<3 f(z) ={ 4 3< and r <6 We then extend it to an odd periodic function of period 12 and its graph is displayed below. 1.5 y 0.5 -10 -5 10 15 5- -1 -1.5 The function may be approximated by the Fourier series f (z) = a0+1 (an cos () + bra sin ()) where L is the half-period of the function. Use the fact that f(z) and f(z) cos ( are odd functions, enter the value of an in the box below. an = for n =0,1,2, ... Hence the Fourier series made up entirely of sines. Calculate the following coefficients of the Fourier series and enter them below in Maple syntax. by = bo = bg =
Transcribed Image Text:A function is defined over (0,6) by 0<z and a<3 f(z) ={ 4 3< and r <6 We then extend it to an odd periodic function of period 12 and its graph is displayed below. 1.5 y 0.5 -10 -5 10 15 5- -1 -1.5 The function may be approximated by the Fourier series f (z) = a0+1 (an cos () + bra sin ()) where L is the half-period of the function. Use the fact that f(z) and f(z) cos ( are odd functions, enter the value of an in the box below. an = for n =0,1,2, ... Hence the Fourier series made up entirely of sines. Calculate the following coefficients of the Fourier series and enter them below in Maple syntax. by = bo = bg =
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