If F(s) is given by the formula: F (s) = = (s+1)² s(s+2)(s2+2s+2) then f(t) is given by the expression: f (t) = (1 -4t е -2t + ½ ½ e−2+ cos(t)) u (t) O_f(t) = (- + ½ ½e¯* sin(t)) u(t) ○ ƒ (t) = (½ - ½e-² + 1½-½e (1-j)t) u (t) f -2t е

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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If F(s) is given by the formula:
F(s)
=
(8+1)2
s(s+2)(s²+2s+2)
then f(t) is given by the expression:
-4t
-2t
f (t) = (1 − ½ ½ e −4+ + 1½ ½ e−2+ cos(t)) u (t)
е
O_f(t) = (-đe
-2t
+ ½ ½e¯* sin(t)) u (t)
O_f(t) = (-
1
-2t
e
+ ½ ½e (1−j)t) u (t)
Transcribed Image Text:If F(s) is given by the formula: F(s) = (8+1)2 s(s+2)(s²+2s+2) then f(t) is given by the expression: -4t -2t f (t) = (1 − ½ ½ e −4+ + 1½ ½ e−2+ cos(t)) u (t) е O_f(t) = (-đe -2t + ½ ½e¯* sin(t)) u (t) O_f(t) = (- 1 -2t e + ½ ½e (1−j)t) u (t)
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