GATE EE 2002 | Transform Theory Question 10 | Engineering Mathematics

GATE EE 2002

MCQ (Single Correct Answer)

-0.3

Let $$Y(s)$$ be the Laplace transform of function $$y(t),$$ then the final value of the function is __________.

$$\mathop {Lim}\limits_{s \to 0} \,\,Y\left( s \right)$$

$$\mathop {Lim}\limits_{s \to \infty } \,\,Y\left( s \right)$$

$$\mathop {Lim}\limits_{s \to 0} \,s\,\,Y\left( s \right)$$

$$\mathop {Lim}\limits_{s \to \infty } \,s\,\,Y\left( s \right)$$

GATE EE 1998

MCQ (Single Correct Answer)

-0.3

The Laplace transform of $$\,\left( {{t^2} - 2t} \right)\,u\left( {t - 1} \right)$$ is ______________.

$${2 \over {{s^3}}}{e^{ - s}} - {2 \over {{s^2}}}{e^{ - s}}$$

$$\,\,{2 \over {{s^3}}}{e^{ - 2s}} - {2 \over {{s^2}}}{e^{ - s}}$$

$${2 \over {{s^3}}}{e^{ - s}} - {2 \over s}{e^{ - s}}$$

None

GATE EE 1995

MCQ (Single Correct Answer)

-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 __________.

initially

zero

one

none

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Boolean Algebra Combinational Circuits Logic Gates Logic Families and Memories Minimization Sequential Circuits Analog to Digital and Digital to Analog Converter Microprocessor

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