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1. Determine the Laplace transform of the function below: a. f(t) = 4est + 6t - 3sin 4t + 2 cos 2t b. f(t) =

1. Determine the Laplace transform of the function below: a. f(t) = 4est + 6t - 3sin 4t + 2 cos 2t b. f(t) = 8e-3tcos 4t 2. Determine the Laplace invers of the function below: 38-12 a. F(s) =- 1 + 38- 5 35- +75+5 b. F(s) = s(5 +45+5)

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