Consider the system as shown below:

where y(t) = x(e^t). The system is

For linear time invariant systems, that are Bounded Input Bounded stable, which one of the following statement is TRUE?

The impulse response of a continuous time system is given by h(t) = $$\delta$$(t − 1) + $$\delta$$(t − 3). The value of the step response at t = 2 is

The input x(t) and output y(t) of a system are related as $$\int_{-\infty}^tx\left(\tau\right)\cos\left(3\tau\right)d\tau$$.The system is