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3. This question concerns the function 2-x, 2, f(x) = f(x+2) (a) Find the Fourier series for f(x), giving explicit formulae for the coefficients ao, an and bn. f(x) = -1

3. This question concerns the function 2-x, 2, f(x) = f(x+2) (a) Find the Fourier series for f(x), giving explicit formulae for the coefficients ao, an and bn. f(x) = -1

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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Please solve all parts of this question.

(e) Sketch the Fourier series over the interval -3 ≤x≤3.
Transcribed Image Text:(e) Sketch the Fourier series over the interval -3 ≤x≤3.
3. This question concerns the function f(x) = (2-x, -1<x<0 2, 0<x< 1 f(x) = f(x+2) (a) Find the Fourier series for f(x), giving explicit formulae for the coefficients ao, an and bn. (b) Write down the values of ao, a1,..., as and bi, b2,..., bs correct to at least eight significant figures.
Transcribed Image Text:3. This question concerns the function f(x) = (2-x, -1<x<0 2, 0<x< 1 f(x) = f(x+2) (a) Find the Fourier series for f(x), giving explicit formulae for the coefficients ao, an and bn. (b) Write down the values of ao, a1,..., as and bi, b2,..., bs correct to at least eight significant figures.
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