GATE EE 2005 | Continuous Time Signal Laplace Transform Question 7 | Signals and Systems

GATE EE 2005

MCQ (Single Correct Answer)

-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$$\rightarrow\infty$$ ?

5/2

GATE EE 1999

MCQ (Single Correct Answer)

-0.6

A rectangular current pulse of duration T and magnitude 1 has the Laplace transform

1/s

(1/s)exp(-Ts)

(1/s)exp(Ts)

(1/s)[1-exp(-Ts)]

GATE EE 1998

MCQ (Single Correct Answer)

-0.6

The Laplace transform of $$\left(t^2\;-\;2t\right)u\left(t\;-\;1\right)$$ is

$$\frac2{s^3}e^{-s}\;-\;\frac2{s^2}e^{-s}$$

$$\frac2{s^3}e^{-2s}\;-\;\frac2{s^2}e^{-s}$$

$$\frac2{s^3}e^{-s}\;-\;\frac1se^{-s}$$

None of the above

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