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Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral script L{f(t)} = 0 inf e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find script L{f(t)}. (Write your answer as a function of s) f(t) = -1, 0 < t < 1 1, t > 1

Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral script L{f(t)} = 0 inf e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find script L{f(t)}. (Write your answer as a function of s) f(t) = -1, 0 < t < 1 1, t > 1

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Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral script L{f(t)} = 0 inf e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find script L{f(t)}. (Write your answer as a function of s) f(t) = -1, 0 < t < 1 1, t > 1

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