For the circuit shown in the figure below, assume that diodes $${D_1},\,{D_2}$$ and $${D_3}$$ are ideal.

The $$DC$$ components of voltages $${v_1}$$ and $${v_2},$$ respectively are

The circuit shown in the figure uses matched transistors with a thermal voltage $${V_T} = 25\,mV.$$ The base currents of the transistors are negligible. The value of the resistance $$R$$ in $$k\Omega $$ that is required to provide $$1\,\,\,\mu A$$ bias current for the differential amplifier block shown is ____________.

The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be

For a system having transfer function $$G\left( s \right) = {{ - s + 1} \over {s + 1}},$$ a unit step input is applied at time $$t=0.$$ The value of the response of the system at $$t=1.5$$ sec (round off to three decimal places) is __________.