The impulse response of an initially relaxed linear system is $${e^{ - 2t}}u\left( t \right).$$ To produce a response of $${te^{ - 2t}}u\left( t \right),$$ the input must be equal to

The steady state error due to a step input for type $$1$$ system is ______________.

A system is described by the state equation $$\mathop X\limits^ \bullet = AX + BU$$ , The output is given by $$Y=CX$$ Where $$A = \left( {\matrix{ { - 4} & { - 1} \cr 3 & { - 1} \cr } } \right)\,\,B = \left( {\matrix{ 1 \cr 1 \cr } } \right)\,\,C = \left[ {10} \right]$$

Transfer function $$G(s)$$ of the system is

For a $$J$$-$$K$$ flip-flop its $$J$$ input is tied to its own $$Q$$ output and its $$K$$ input is connected to its own $$Q$$ output. If the flip-flop is fed with a clock of frequency $$1$$ $$MHz,$$ its $$Q$$ output frequency will be ______________