Signals and Sys...

Determine the function of time x(t), for the following Laplace transform and their associated regions of convergence:

\(X\left( s \right) = \frac{{s + 2}}{{{s^2} + 7s + 12}}\;\;,\; - 4 < Re\left( s \right) < - 3\)

A pressure gauge that can be modelled as an LTI system has a time response to a unit step input given by (1 – e^-t – te^-t) u(t). For the certain input x(t), the output is observed to be (2 – 3e^-t + e^-3t) u(t). For this observed measurement, the true pressure input to the gauge as a function of time is

Which of the following statements is false.