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

The Laplace Transform turns a given function f : f(t) into a new function F : F(s) by way of an improper integral: F(s) foo e'Stf(t)dt. 0 Suppose f(t) : 6t + 1. (a) Find the set of real numbers 5 for which the improper integral defining F(s) converges. Answer in interval notation. (To enter 00, type \"inf\"; for 700' type \" inf'i) Answer: (b) Find a simple formula for F(s), valid on the interval described in part (a). Answer: F(s)

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