s07_ps08_spring04

s07_ps08_spring04 - Uniﬁed Engineering II Spring 2004...

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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. 1. � te−at , t ≥ 0 0, t<0 � t2 e−at , t ≥ 0 0, t<0 � tn e−at , t ≥ 0 0, t<0 g (t) = 2. g (t) = 3. g (t) = where n is a positive integer. 4. f (t) = e−(t−a) 2 /2b2 , for all t ...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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