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Calculate the Laplace transforms of the functions g(t)=2cos 2 (3t) and g(t)=2t 3 cos 2 (3t), and the inverse Laplace transform of function [e -3s

Calculate the Laplace transforms of the functions g(t)=2cos²(3t) and g(t)=2t³cos²(3t), and the inverse Laplace transform of function [e^-3s]/(s²-25)

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