DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f{t)} = | e-str(t) dt is said to be the Laplace transform of f, provided that the integral converges. o find L{f(t)}. (Write your answer as a function of s.) (cos(t), f(t) = lo, 0 0) 2+1

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral 8 -6° ₁-²…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

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