Problem 1. Using the table of Laplace transforms or any other method, compute the Laplace transforms L(f) of the following functions: (i) (ii) -8t f(t) = e² 8(t − 3)+4(t − 5)(t + 6) + 7 cos 8t+9e¯ +7e6t sin 5t + 4t³ e-2t, if 1

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A: Note: As per our guidelines, we can solve the first question. Please repost the remaining questions.

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