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2) Use the Laplace transform tables in lecture notes on pages 17 and 18 to find the Laplace transform of each function below: a) f(t) = -10 cos 2t b) f(t) = 4e-3t sin(t 45) u(t 45) c) f(t) = 4te-3t %3D 3) Given that f (t) = 4e-3(t-4), a) Find L by differentiating f (t) and then using the Laplace transform %3D dt tables in lecture notes on pages 18 and 19 b) Find L using the theorem for differentiation [df(t)] dt c) Repeat a) and b) for the case that f(t) = 4e-3(t-4)u(t 4) 2) Use the Laplace transform tables in lecture notes on pages 17 and 18 to find the Laplace transform of each function below: a) f(t) = -10 cos 2t b) f(t) = 4e-3t sin(t 45) u(t 45) c) f(t) = 4te-3t %3D 3) Given that f (t) = 4e-3(t-4), a) Find L by differentiating f (t) and then using the Laplace transform %3D dt tables in lecture notes on pages 18 and 19 b) Find L using the theorem for differentiation [df(t)] dt c) Repeat a) and b) for the case that f(t) = 4e-3(t-4)u(t 4)