1.
Referring to
Example 4 of
Lecture Note #18, make a sound file that suppresses the cricket chirp sound while preserving the spooky sound.
You must list a MATLAB/Octave script file and attach a sound (*.wav) file.
2. (a) Draw a graph of H(x − a) − H(x − b) where a < b.
(b) Express f "(x) by a single formula (possibly including
H(x), δ(x) and their variations).
3.
Solve the following set of simultaneous differential
equations for x(t), y(t) and z(t) using the Laplace
transforms.
dx
dt
+ y + z
=
0,
(1)
x +
dy
dt
+ z
=
0,
(2)
x − y −
dz
dt
=
0,
(3)
with
x(0) = 1, y(0) = 0, z(0) = 1.
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TEX
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TTH,
version 4.03. On 08 Nov 2025, 20:18.
