Question

1. Use the symbolic tool in MATLAB to obtain Laplace transform for each of the Following and Graph both results time domain (t) and frequency domain (s) (a) $f(t) = -3te^{-t}$ (b) $f(t) = -5 \cos t$ (c) $f(t) = t \sin 3t$ (d) $f(t) = 7e^{-0.5t} \cos 3t$ (e) $f(t) = 5 \cos (4t + 30^\circ)$ (f) $f(t) = 6e^{-2t} \sin (t - 45^\circ)$

          1. Use the symbolic tool in MATLAB to obtain Laplace transform for each of the Following and
Graph both results time domain (t) and frequency domain (s)
(a) $f(t) = -3te^{-t}$
(b) $f(t) = -5 \cos t$
(c) $f(t) = t \sin 3t$
(d) $f(t) = 7e^{-0.5t} \cos 3t$
(e) $f(t) = 5 \cos (4t + 30^\circ)$
(f) $f(t) = 6e^{-2t} \sin (t - 45^\circ)$

1. Use the symbolic tool in MATLAB to obtain Laplace transform for each of the Following and
Graph both results time domain (t) and frequency domain (s)
(a) f(t) = -3te^-t
(b) f(t) = -5 cos t
(c) f(t) = t sin 3t
(d) f(t) = 7e^-0.5tcos 3t
(e) f(t) = 5 cos (4t + 30^∘)
(f) f(t) = 6e^-2tsin (t - 45^∘)

Added by Jose Carlos R.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Rosemary Charnley

Step 1

Here's the code: syms t s f = -3*t*exp(-t); F = laplace(f, t, s); To graph the result in the time domain, we can use the inverse Laplace transform. Here's the code: f_time = ilaplace(F, s, t); t_values = linspace(0, 10, 100); f_values = subs(f_time, t, Show more…

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Use the symbolic tool in MATLAB to obtain the Laplace transform for each of the following and graph both results in the time domain (t) and frequency domain (s): (a) f(t) = -3te^(-t) (b) f(t) = -5cos(t) (c) f(t) = t*sin(3t) (d) f(t) = 7e^(-0.5t)cos(3t) (e) f(t) = 5cos(4t+30) (f) f(t) = 6e^(-2t)sin(t-45)