4. Given the function f(t) shown in the attached image, defined for every real number t. Solve the following points: a) Draw the graph of f(t) and determine the integral from -∞ to ∞ for |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. Given the function f(t) shown in the attached image, defined for every real number t. Solve the following points: a) Draw the graph of f(t) and determine the integral from -∞ to ∞ for |f(t)| dt. b) Write the fourier integral representation. c) Determine what this representation converges to. d) Find the Fourier transform of f(t).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 46E
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4. Given the function f(t) shown in the attached image, defined for every real number t.
Solve the following points:
a) Draw the graph of f(t) and determine the integral from -∞ to ∞ for |f(t)| dt.
b) Write the fourier integral representation.
c) Determine what this representation converges to.
d) Find the Fourier transform of f(t).
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