$$ \text { Consider the following closed loop control system } $$

where $G(s)=\frac{1}{s(s+1)}$ and $C(s)=K \frac{s+1}{s+3}$. If the steady state error for a unit ramp input is 0.1 , then the value of $K$ is $\_\_\_\_$ .

Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t-2). The transfer function of the system should be

A linear time invariant system has an impulse response e^2t, t > 0. If the initial conditions are zero and the input is e^3t, the output for t > 0 is