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 (-11)-3a) Dibuje gráfica de f(t) y determine lf (t)| dtb) 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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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

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).

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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