Solution 4.6.5.2 (a) ~ G = G 1;G+GH = K s(s +1) 1; K s(s+1) ; 10K s(s+1)(s+10) = K(s+10) s(s +1)(s+10);K(s+10)+10K = K(s+10) s 3 +11s 2 +10s;Ks = K(s+10) s[s 2 +11s+(10;K)] (b) ~ G = G 1;G+GH = K(s+1) s 2 1; K(s+1) s 2 ; K(s+1) s 2 (s+5) = K(s+1)(s+5) s 2 (s+5);K(s+1)(s+5)+K(s+1) = K(s+ 1)(s+5) s 3 +5s 2 ;K(s 2 +6s+5)+Ks+ K = K(s+1)(s+5) s 3 +(5;K)s 2 ;5Ks;4K : 1 (c) ~ G = G 1;G+ GH = 1 (s + 1)(s+5) 1; 1 (s+1)(s+5) ; K s(s+1)(s+5) = s s(s+1)(s+5);s+ K = s s 3 +6s 2 +5s;s +K = s s 3 +6s 2 +4s+K : (d) ~ G = G 1;G+GH = 1 s(s+10) 1; 1 s(s+10) ; K s(s +10) = 1 s(s+10);1+K = 1 s 2 +10s+(K ;1) : 2