Use the linearity properties of the Laplace transform and the basic functions to calculate L {f (t)}.

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a) f(t) = 4t – 10 b) f(t) = t2 + 6t – 3 c) f(t) = (t+1)3 d) f(t) = 1+et e) f(t) = (1+ e24)² f) f(t) = 4t2 – 5 sin(3t) a) f(t) = 4t – 10 b) f(t) = t2 + 6t – 3 c) f(t) = (t+1)3 d) f(t) = 1+et e) f(t) = (1+ e24)² f) f(t) = 4t2 – 5 sin(3t)