engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Laplace Transform Properties of Laplace Transform
Find the Laplace transform of \(x\left( t \right) = \frac{{{d^2}}}{{d{t^2}}}\left( {{e^{ - 3\left( {t - 2} \right)}}u\left( {t - 2} \right)} \right)\)
1
\(\frac{2}{{{{\left( {s + 3} \right)}^3}}}{e^{ - 2\left( {s - 3} \right)}}\)
2
\(\frac{{{s^2}}}{{\left( {s + 3} \right)}}{e^{ - 2 {s }}}\)
3
\(\frac{{{s^2}}}{{\left( {s + 3} \right)}}{e^{ - 2\left( {s + 3} \right)}}\)
4
\(\frac{2}{{{{\left( {s + 3} \right)}^3}}}{e^{ - 2\left( {s + 3} \right)}}\)