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Calculate the Laplace transform of the following function from first principles: 3t-1 0 t < 1 t 1 (b) f(t) { 3 Calculate the

Calculate the Laplace transform of the following function from first principles: 3t-1 0 t < 1 t 1 (b) f(t) { 3 Calculate the Laplace transform of the following function (a) (c) = te2t sin 6t tU (t - 2) if Te t Te dt.

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