(Solved): 1. (+10 points) Consider a negative unity feedback system as in Figure 1 with \( G(s)=\frac{(s+2)(s ...

1. (+10 points) Consider a negative unity feedback system as in Figure 1 with \( G(s)=\frac{(s+2)(s+5)}{s(s+1)(s+3)} \). (a) What is the type number of the closed-loop system \( \frac{Y(v)}{R(s)} \) ? (b) What values of \( K>0 \), if any, will yield a steady-state error less than or equal to \( 0.1 \), in response to: i. a unit step input? ii. a unit ramp input? Figure 1: Negative unity feedback system.