Sketch the time functions given. Then use the definition of the Laplace transform (7.4) and the table of integrals in Appendix A to calculate the Laplace transforms of the time functions.
(a) 5u (t – 2)
(b) Ku(t – a),a > 0
(c) 6[u(t – 1) – u(t – 3)]
(d) 6 (t – 1)u(4 – t)
(e) Ku(t – a)u(b – t), where b > a > 0
(f) 6e–2tu(t – 1)
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