Given a>0, let f .t / D 1 if 0 5 tf .t / D 0 if t =

Chapter , Problem 37

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Given a>0, let f .t / D 1 if 0 5 tf .t / D 0 if t = a.First, sketch the graph of the function f , making clear itsvalue at t D a. Then express f in terms of unit step functionsto show that ff .t /g D s1.1eas /. 3

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