Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = J. 0 following function. estf(t)dt. Use this definition to determine the Laplace transform of the f(t)=sin bt, b a constant 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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Q: f(t) = t'g(t)

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Q: Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the 8…

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