The periodic function f(t) is defined on its period -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The periodic function f(t) is defined on its period -2<t<2 by the formula:
f(t) ='+1, when -2<130.
|-1+1, when 0sts2.
a) Find the mean value of the function on its period.
b) Find the Fourier coefficients of the given function.
c) Present the function by the Fourier series using the symbol E.
d) Present first four terms of the Fourier series together with the mean value in the explicit
form.
Transcribed Image Text:The periodic function f(t) is defined on its period -2<t<2 by the formula: f(t) ='+1, when -2<130. |-1+1, when 0sts2. a) Find the mean value of the function on its period. b) Find the Fourier coefficients of the given function. c) Present the function by the Fourier series using the symbol E. d) Present first four terms of the Fourier series together with the mean value in the explicit form.
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