# Continuous Time Signal Laplace Transform · Signals and Systems · GATE EE

Start Practice

## Marks 1

GATE EE 2024
If $u(t)$ is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal $x(t) = e^{t^2}[u(t-1)-u(t-10)]$ is...
GATE EE 2015 Set 2
The Laplace transform of f(t)=$$2\sqrt{t/\mathrm\pi}$$ is $$s^{-3/2}$$. The Laplace transform of g(t)=$$\sqrt{1/\mathrm{πt}}$$ is
GATE EE 2013
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
GATE EE 2012
The unilateral Laplace transform of f(t) is $$\frac1{s^2\;+\;s\;+\;1}$$. The unilateral Laplace transform of tf(t) is
GATE EE 2002
Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is
GATE EE 1995
The Laplace transformation of f(t) is F(s). Given F(s)=$$\frac\omega{s^2+\omega^2}$$, the final value of f(t) is

## Marks 2

GATE EE 2011
Let the Laplace transform of a function f(t) which exists for t > 0 be F1(s) and the Laplace transform of its delayed version f(1 - $$\tau$$) be F2...
GATE EE 2008
A function y(t) satisfies the following differential equation:$$\frac{\operatorname dy\left(t\right)}{\operatorname dt}+\;y\left(t\right)\;=\;\delta\... GATE EE 2005 The Laplace transform of a function f(t) is F(s) =$$\frac{5s^2+23s+6}{s\left(s^2+2s+2\right)}$$. As$$t\rightarrow\infty$$, f(t) approaches GATE EE 2005 For the equation$$\ddot x\left(t\right)+3\dot x\left(t\right)+2x\left(t\right)=5$$, the solution x(t) approaches which of the following values as t$$...
GATE EE 1999
A rectangular current pulse of duration T and magnitude 1 has the Laplace transform
GATE EE 1998
The Laplace transform of $$\left(t^2\;-\;2t\right)u\left(t\;-\;1\right)$$ is
EXAM MAP
Medical
NEET