In class, you have derived the response of a first-order system to a unit-step input.Given a first-order system of the form G(s) = K / (1 + T s), where T is the time-constant,and K is the constant, find i) The time-response to a unit-ramp input r(t) = t ii) The steady-state error for error measured as e(t) = r(t) - c(t). (Hint: thesteady-state error is measured as t tends to infinity) For the first order system: T_{1}=\frac{8}{s+8} i) 2% settling time ii) Rise time iii) Given the quantities above, sketch and label the time response of the system.