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Unformatted text preview: ratio of polynomials and verify that we get F ( s ). 4 s + 1 ( s + 2) 2 + s + 2 = 4( s + 2) 2 + s s ( s + 2) 2 = 4 s 2 + 17 s + 16 s 3 + 4 s 2 + 4 s = F ( s ) (result is verified ) We take the inverse transform of the partial fraction terms to get our final result. f ( t ) = [4 + te 2 t ] u ( t ) N OTE : We multiply by u ( t ) as a reminder that we are uncertain of the value of f ( t ) for t < 0....
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- Spring '12