Determine whether each of the following statements is true or false. If a statement is

Chapter 9, Problem 9.42

(choose chapter or problem)

Determine whether each of the following statements is true or false. If a statement is true, construct a convincing argument for it. If it is false, give a counterexample. (a) The Laplace transform of t 2u(t) does not converge anywhere on the s-plane. (b) The Laplace transform of et2 u(t) does not converge anywhere on the s-plane. (c) The Laplace transform of ejwot does not converge anywhere on the s-plane. (d) The Laplace transform of ejwot u(t) does not converge anywhere on the s-plane. (e) The Laplace transform of ltl does not converge anywhere on the s-plane.

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