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).
(-1 < t < 0 )
(0 < t< 1)
0(|t|>1 )
f(t) =
-3
%3D
Transcribed Image Text:(-1 < t < 0 ) (0 < t< 1) 0(|t|>1 ) f(t) = -3 %3D
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