engineering recuitment ISRO Scientist Electronics Mock Test Engineering Mathematics Transform Theory Z Transform
The bilateral Laplace transform of a function \({\rm{f}}\left( {\rm{t}} \right) = \left\{ {\begin{array}{*{20}{c}} {1{\rm{\;if\;a}} \le {\rm{t}} \le {\rm{b}}}\\ {0{\rm{\;otherwise}}} \end{array}} \right.\)
1
\(\frac{{{\rm{a}} - {\rm{b}}}}{{\rm{s}}}\)
2
\({\rm{}}\frac{{{{\rm{e}}^2}\left( {{\rm{a}} - {\rm{b}}} \right)}}{{\rm{s}}}\)
3
\(\frac{{{{\rm{e}}^{ - {\rm{as}}}} - {{\rm{e}}^{ - {\rm{bs}}}}}}{{\rm{s}}}\)
4
\(\frac{{{{\rm{e}}^{{\rm{s}}\left( {{\rm{a}} - {\rm{b}}} \right)}}}}{{\rm{s}}}\)