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a) Draw a graph of f(t) and determine ∫_(-∞)^∞▒|f(t)| dt  b) Write the Fourier integral representation.  c) Determine what this representation converges to.

a) Draw a graph of f(t) and determine ∫_(-∞)^∞▒|f(t)| dt  b) Write the Fourier integral representation.  c) Determine what this representation converges to.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

a) Draw a graph of f(t) and determine ∫_(-∞)^∞▒|f(t)| dt 
b) Write the Fourier integral representation. 
c) Determine what this representation converges to. 
d) Find the Fourier transform of f(t).

 
4. Dada la función f(t) definida para todo número real t. 3 (-1<t<0) f(t) (0< t<1) (|t|>1) -3 a) Dibuje gráfica de f(t) y determine lf (t)| dt b) Escriba la representación en integral de Fourier. c) Determine a qué converge esta representación. d) Encuentre la transformada de Fourier de f (t).
Transcribed Image Text:4. Dada la función f(t) definida para todo número real t. 3 (-1<t<0) f(t) (0< t<1) (|t|>1) -3 a) Dibuje gráfica de f(t) y determine lf (t)| dt b) Escriba la representación en integral de Fourier. c) Determine a qué converge esta representación. d) Encuentre la transformada de Fourier de f (t).
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