Sketch the following functions and find the Laplace transforms:
A) LaTeX: f(t)=u(t)+3u(t-1)-2u(t-2)-2u(t-3).
B) LaTeX: f(t)=2u(t+2)-3u(t+1)+4u(t-1)-3u(t-2).
C) LaTeX: f(t)=tu(t)-(t-2)u(t-2)-2u(t-4).
D) LaTeX: f(t)=tu(t)-(2t-4)u(t-2)+(t-4)u(t-4).

Respuesta :

Answer:

hello attached is the detailed solution

Step-by-step explanation:

Laplace transform of the functions and the sketches are attached below

A) f(t) = u(t) + 3u(t-1) - 2u(t-2) - 2u(t-3)

   F(s) = [tex]\frac{1 + 3e^{-s} -2e^{-2s}-2e^{-3s} }{s}[/tex]

B) f(t) = 2u(t+2) - 3u(t+1) +4u(t-1) - 3u(t-2)

F(s) = [tex]\frac{2e^{2s} - 3e^s + 4e^{-s} -3e^{2s} }{s}[/tex]

attached below is the remaining part of the answer

Ver imagen batolisis
Ver imagen batolisis