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).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 75PFA
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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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