2.1 Period T Find the Fourier series for each of the following periodic functions up to the fourth harmonic 5 a) f(x) = 3 0 < x < 1 1 < x < 2 2 ≤ x <3 f(x+3) = f(x)
2.1 Period T Find the Fourier series for each of the following periodic functions up to the fourth harmonic 5 a) f(x) = 3 0 < x < 1 1 < x < 2 2 ≤ x <3 f(x+3) = f(x)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Transcribed Image Text:2 Fourier series
2.1 Period T
Find the Fourier series for each of the following periodic functions up to the fourth
harmonic
5
a) f(x) = 3
b) f(x) =
2π
c) f(t) = -(t-1)²
d) f(t) = sin t
e) f(x) =
2x
f) f(x) =
1.23
0
0 ≤ x < 1
1 < x < 2
2<x<3
0≤x<T
T≤ x < 2T
0 ≤ t < 2,
-<t<,
0<x<T
π ≤ x < 2π
0≤ I <3
3 < x < 4
f(x+3) = f(x)
f(x+2) = f(x)
f(t + 2) = f(t)
f(t + π) = f(t)
f(x+2) = f(x)
f(x + 4) = f(x)
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