Find the Laplace transform of the following functions.
(a) f (t) = { 7 0 < t ≤ 4 8 t ≥ 4
(b) f (t) = { t2 0 ≤ t < 2 0 t ≥ 2
(c) f (t) = { 0 0 ≤ t < π/9 cos[7(t − π/9)] t ≥ π/9
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