Problem 1. a) Find zeros and poles of the following transfer functions and indicate the multiplicity of the poles and zeros. G(s)= 5(s+2) s(s+5)(s+10) G(s)= 14(s²+4s+5) s2(s+1)(s+5)(s+9)' G(s)= 10(s+5) s+2s+4s2+5s+10 You can use Matlab "roots" command to find zeros and poles, particularly for the last transfer function. For the obvious solutions, you should obtain the roots by hand. Note: Type help conv to learn this Matlab command for multiplication of polynomials. For example, to generate the coefficient vector for a polynomial A=s(s+2)(s+3), we use: A conv([1,0], conv([1, 2],[1, 3]))=[1, 5, 6, 0]. Type help roots to learn command "roots". b) The root locus form is given by 1+kG(s)=0, G(s) = B(s). Plot root locus of the transfer functions. Which system is stable as k→ ∞? A(s)