1
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
Let $$Y(s)$$ be the Laplace transform of function $$y(t),$$ then the final value of the function is __________.
A
$$\mathop {Lim}\limits_{s \to 0} \,\,Y\left( s \right)$$
B
$$\mathop {Lim}\limits_{s \to \infty } \,\,Y\left( s \right)$$
C
$$\mathop {Lim}\limits_{s \to 0} \,s\,\,Y\left( s \right)$$
D
$$\mathop {Lim}\limits_{s \to \infty } \,s\,\,Y\left( s \right)$$
2
GATE EE 1998
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of $$\,\left( {{t^2} - 2t} \right)\,u\left( {t - 1} \right)$$ is ______________.
A
$${2 \over {{s^3}}}{e^{ - s}} - {2 \over {{s^2}}}{e^{ - s}}$$
B
$$\,\,{2 \over {{s^3}}}{e^{ - 2s}} - {2 \over {{s^2}}}{e^{ - s}}$$
C
$${2 \over {{s^3}}}{e^{ - s}} - {2 \over s}{e^{ - s}}$$
D
None
3
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$ the final value of $$f(t)$$ is __________.
A
initially
B
zero
C
one
D
none
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