Problem 2. Find the transfer functions for the following block diagrams using block diagram reduction: R(s) G₁ G5 G 18-4-4-4-0-0-0- H₁ Y(s) G6 Н2 R G₁ G₁₂ H G₁ H₂ Problem 3. Draw the SFG for the block diagrams in problem 2 then find the transfer function for both systems. In converting the block diagrams to a signal flow graph, observe the followings: 1- select the signal flow graph variables according to the following rules: a. input and output variables are SFG variables b. Output variables of Summers are SFG variables c. Input variables of blocks are SFG variables 2- Use the block diagram connection to write the causality relations of the SFG 3- When drawing the SFG from its causality relations, leave the variables (nodes) on the same location on the block diagram