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Let f(t) be a function on [0, co). The Laplace transform off is the function F defined by the integral F(s) = | e-stredt. Use57 0<t<4 e f(t) = 3, 4<t The Laplace transform of f(t) is F(s) = for all positive s and F(s) = 4 + oilw -20 otherwise

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solution: ginen that fets : 54 i oct<4 3 t>4 Fles st ses fethat -- you majone Soccorso di fond 9 (5-8)t 4 st Fle) = + 3 (5-8)i Laplace Transform of fit is (20-48) F18) = ?) -49 + 3e 5. for all 5- & positive S&5

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