In the block-diagram shown in Fig. 1.4 , determine the value of \(k_{1}, k_{2}, k_{3}\), so that the transfer function is as follows:

1) \(k_{1}=1, k_{2}=\frac{2}{3}, k_{3}=6\)
2) \(k_{1}=\frac{2}{3}, k_{2}=1, k_{3}=6\)
3) \(k_{1}=\frac{3}{2}, k_{2}=\frac{3}{2}, k_{3}=6\)
4) \(k_{1}=1, k_{2}=\frac{3}{2}, k_{3}=6\)

Figure 1.4

T(s) = 6 (s+2)(s+3)