Use block diagram reduction technique and obtain the following transfer functions for the system shown in Fig.

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Use block diagram reduction technique and obtain the following transfer functions for the system shown in Fig. D3.3:

(i) \(\frac{\mathrm{C}(s)}{\mathrm{R}(s)}\)
(ii) \(\frac{\mathrm{C}(s)}{\mathrm{X}(s)}\)
(iii) \(\frac{\mathrm{C}(s)}{\mathrm{Y}(s)}\)

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