1. Consider the transfer function: U(s)Y(s)=(5s+1)(3s+1)10 What is the value of y(t)=L1{Y(S)} as t for a) a step input of magnitude M? (10 points) b) a unit impulse input? ( 5 points) 2. Determine the time domain function, y(t) for a ramp input, x(t)=At; where A is a constant. X(s)Y(s)=3s+15 3. Given the transfer function for a process is: X(s)Y(s)=8s2+3s+22 For a unit step change, calculate the Decay ratio ( 5 points)