2. (20 points) Let f be a periodic function with period 2L for some L > 0. Suppose f(x) -x for -L < x < L. = ― (a) (10 points) Sketch the graph of the given function for -3L ≤ x < 3L. (b) (10 points) Find the Fourier series for f.
2. (20 points) Let f be a periodic function with period 2L for some L > 0. Suppose f(x) -x for -L < x < L. = ― (a) (10 points) Sketch the graph of the given function for -3L ≤ x < 3L. (b) (10 points) Find the Fourier series for f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 35RE
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Transcribed Image Text:2. (20 points) Let f be a periodic function with period 2L for some L > 0. Suppose
f(x) -x for -L < x < L.
= ―
(a) (10 points) Sketch the graph of the given function for -3L ≤ x < 3L.
(b) (10 points) Find the Fourier series for f.
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