1
GATE EE 2005
MCQ (Single Correct Answer)
+2
-0.6
The Laplace transform of a function f(t) is F(s) = $$\frac{5s^2+23s+6}{s\left(s^2+2s+2\right)}$$. As $$t\rightarrow\infty$$, f(t) approaches
A
3
B
5
C
17/2
D
$$\infty$$
2
GATE EE 2005
MCQ (Single Correct Answer)
+2
-0.6
For the equation $$\ddot x\left(t\right)+3\dot x\left(t\right)+2x\left(t\right)=5$$, the solution x(t) approaches which of the following values as t$$\rightarrow\infty$$ ?
A
0
B
5/2
C
5
D
10
3
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
A rectangular current pulse of duration T and magnitude 1 has the Laplace transform
A
1/s
B
(1/s)exp(-Ts)
C
(1/s)exp(Ts)
D
(1/s)[1-exp(-Ts)]
4
GATE EE 1998
MCQ (Single Correct Answer)
+2
-0.6
The Laplace transform of $$\left(t^2\;-\;2t\right)u\left(t\;-\;1\right)$$ is
A
$$\frac2{s^3}e^{-s}\;-\;\frac2{s^2}e^{-s}$$
B
$$\frac2{s^3}e^{-2s}\;-\;\frac2{s^2}e^{-s}$$
C
$$\frac2{s^3}e^{-s}\;-\;\frac1se^{-s}$$
D
None of the above
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