Calculate the form of f'(x) and plot graphs of both f(x) and f'(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A2 The function f(x) is defined by
f(x) = {12 for 2
for a > 2.
Calculate the form of f'(x) and plot graphs of both f(x) and f'(x).
Calculate directly the Fourier transforms Flf and Ff'] and confirm that
F[f' = ikFf.
Now consider the Inverse Fourier Transform of F[f], evaluated at x = 0, to show
sin k
k2
dk = n.
(1)
Transcribed Image Text:A2 The function f(x) is defined by f(x) = {12 for 2 for a > 2. Calculate the form of f'(x) and plot graphs of both f(x) and f'(x). Calculate directly the Fourier transforms Flf and Ff'] and confirm that F[f' = ikFf. Now consider the Inverse Fourier Transform of F[f], evaluated at x = 0, to show sin k k2 dk = n. (1)
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