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2. If f(t) is continuous for t 0, the Laplace transform of f is the function F defined by F(s) = f f (t)e-st

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2. If f(t) is continuous for t 0, the Laplace transform of f is the function F defined by F(s) = f f (t)e-st dt 0 and the domain of F is the set consisting of all numbers s for which the integral converges. Find the Laplace transforms of the following: a) f(t) = t b) f(t) = et

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