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Unformatted text preview: Uniﬁed Engineering II Spring 2004 Problem S7 (Signals and Systems)
For each of the functions below, ﬁnd the Laplace transform of the function, as well
as the region of convergence. Do not use any outside reference (table of transforms
or the Uniﬁed bible) to ﬁnd the answer. You may use a table of Laplace transforms
to check your work. However, show the derivation of the result, i.e., work out the
Laplace integral. Make sure that you include the region of convergence.
� te−at , t ≥ 0
t<0 � t2 e−at , t ≥ 0
t<0 � tn e−at , t ≥ 0
t<0 g (t) = 2.
g (t) =
g (t) = where n is a positive integer.
4. f (t) = e−(t−a) 2 /2b2 , for all t ...
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- Fall '05