A periodic function is defined as: F(t) = {"_2 - nst< 01 0st

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q6
A periodic function is defined as:
f(t) = {{_2
- nst<0N
0st <n S
a) Sketch the graph of the function f(t) for -3 nst <3n
b) Find the Fourier coefficients ao ‚an and bn:
c) State the fundamental frequency of the periodic function.
d) Write the first 3 non-zero terms of the Fourier series of f (t)
e) Based on the answer at (d), write the first 4 non-zero terms of the Fourier series of:
-πst< 0)
g(t) = {" ,
0 st<n
Transcribed Image Text:Q6 A periodic function is defined as: f(t) = {{_2 - nst<0N 0st <n S a) Sketch the graph of the function f(t) for -3 nst <3n b) Find the Fourier coefficients ao ‚an and bn: c) State the fundamental frequency of the periodic function. d) Write the first 3 non-zero terms of the Fourier series of f (t) e) Based on the answer at (d), write the first 4 non-zero terms of the Fourier series of: -πst< 0) g(t) = {" , 0 st<n
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