Let f(1) be a function on [0, oo). The Laplace transform of f is the function F defined by the integral F(s) = Te-St(t)dt. Use this definition to determine the Laplace transform of the folowing function. 1(1) =e sin 3t The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.) It is defined for s> (Type an integer or a fraction.)

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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A: The solution is given as

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