Question: The Laplace Transform turns a given function f : t) into a new function F : F(s) by way of an improper integral: F(s) :

The Laplace Transform turns a given function f : t) into a new function F : F(s) by way of an improper integral: F(s) : [Om e_'tf(t) dt. Suppose f(t) : 8171/2. (3} Find the set of real numbers 5 for which the improper integral defining F(s) converges. Answer in interval notation. Answer: (b) Find a simple formula for F(s), valid on the interval described in part (a). Answer: F(s)

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