Let f(x) = e-x for -1 ≤ x ≤ infinity and 0 otherwise. Sketch f(x)
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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Transcribed Image Text:6) Let f(x) = e-x for -1 ≤ x ≤ infinity and 0 otherwise.
A) Sketch f(x).
B) Show that f(x) has a Fourier transform by verifying the integral condition on f(x).
C) Find the Fourier transform F(k) of f(x).
D) Check that part B is correct by comparing F(0) with the area under the curve f(x).
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