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38. Suppose f(t) is a periodic function with period T—that is, f(t +T)= f(t) for all t—such that C[f(exists. a. Show tha
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- 38 Suppose F T Is A Periodic Function With Period T That Is F T T F T For All T Such That C F Exists A Show Tha 1 (24.46 KiB) Viewed 26 times
38. Suppose f(t) is a periodic function with period T—that is, f(t +T)= f(t) for all t—such that C[f(exists. a. Show that C[f0]= L" se**I dt. [Hint: Make a substitution and recall geometric series.] b. Use the result of part (a) to find the Laplace transform of the function given in Problem 29.