Use the transform and properties tables to find the Laplace transforms of the time functions given. Manipulate the time functions as required.
(a) 5u(t – 2)u(3 – t)
(b) 3tu(t – 2)
(c) 3u(t – 3)u(t – 2)
(d) 3t[u(t – 1) - u(t – 3)]
(e) 3t[u(t – a) – u(t – b)], a > 0, b > 0, a
(f) Verify your answers for (a)–(d) using MATLAB.
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