Please include the code/syntax for question 3.

RC=(1s+1)(2s+1)(3s+1)+KcKz(3s+1) 1) Show that a step-change in R leads to: C(s)=s(123s3+(12+23+13)s2+(1+2+3)s+(1+K))K(3s+1) 2) Find the roots* of C(s) with 1=1,2=1/2,3=1/3 for each case of Kc=3,6,9, and 12 . Notice roots for the case, Kc=3 is given below (10%) 3) Determine C(t) as a function of time and tabulate C(t) for t=010 units of time for each Kc; Hiut: write a script. (30\%) 4) Use Excel (or MATLAB) software to plot C(t) on the same set of axis, as a function of t for each value of Kz and label accordingly. (35\%) 5) Write a conclusion based on your findings, noting the system's response as each Ks increases; indicating stable or unstable and why? (15%) \# Data: Roots for C(s), and K2=3 : s1=4.74784,s2=0.620822.15939i,s3=0.62082+2.15939i