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Question 1(Block Diagram Algebra) 20pts Consider the block diagram in Fig.1; 1- Please derive the transfer function between the input and output: $F(s)=\frac{y(s)}{r(s)}$ by neglecting d(s). (10pts) 2- Please derive the transfer function between disturbance input and the output: $F(s)=\frac{y(s)}{d(s)}$ by neglecting the $r(s)$. (10pts) d(s) Disturbance Feedback system Figure 1: Block Diagram

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