A periodic function is defined by { f(t+1) = f(t). f(t) This function is to be represented by the Fourier series B3 -2π, -≤t<0, 3π, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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A periodic function is defined by
f(t) =
-2, -≤t<0,
3π, 0<t < 1/1/2,
f(t+1) = f(t).
This function is to be represented by the Fourier series
F(t) = Ao +(An cos(2πnt) + B₂ sin(2πnt)).
[₁4
n=1
Enter the value of the constant B3 in the box below (use pi to represent 7 if necessary).
B3 =
2
Transcribed Image Text:A periodic function is defined by f(t) = -2, -≤t<0, 3π, 0<t < 1/1/2, f(t+1) = f(t). This function is to be represented by the Fourier series F(t) = Ao +(An cos(2πnt) + B₂ sin(2πnt)). [₁4 n=1 Enter the value of the constant B3 in the box below (use pi to represent 7 if necessary). B3 = 2
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