Show necessary work (1) The Laplace transform of f(t) = e^3tcos(2t) is a) s / (s^2-6s+13) b) (s-2) / (s^2-6s+13) c) (s+3) / (s^2-6s+13) d) (s-3) / (s^2-6s+13) (2) The inverse Laplace transform of F(s) = s / (s^2+2s+10) is a) e^-3t(cost) b) e^-t(cos3t) c) e^-t(cos3t - sin3t) d) e^-t(cos3t - 1/3 sin3t) (3) The inverse Laplace transform of F(s) = 1 / (s-1)^4 is a) e^4t b) t^3 e^t c) 1/24 t^3 e^t d) 1/6 t^3 e^t
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