Determine following transfer functions for signal flow graph shown in Fig. P 3.9. (a) (mathrm{T}_{11}(s)=frac{mathrm{Y}_{1}(s)}{mathrm{R}_{1}(s)}) (b) (mathrm{T}_{21}(s)=frac{mathrm{Y}_{2}(s)}{mathrm{R}_{1}(s)})

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Determine following transfer functions for signal flow graph shown in Fig. P 3.9.

(a) \(\mathrm{T}_{11}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{R}_{1}(s)}\)
(b) \(\mathrm{T}_{21}(s)=\frac{\mathrm{Y}_{2}(s)}{\mathrm{R}_{1}(s)}\)

(c) \(\mathrm{T}_{12}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{R}_{2}(s)}\)
(d) \(\mathrm{T}_{22}(s)=\frac{\mathrm{Y}_{2}(s)}{\mathrm{R}_{2}(s)}\)

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