$[1]$ For the block diagram shown below, use the graphical approach we saw in class to find the transfer function Y$($s$)//$R$($s$).$ Recall that the "graphical approach" involves applying the rules for simplifying cascades of systems, parallel systems and feedback systems, and for

moving blocks and summing junctions. Your solution should consist of a sequence of block diagrams, where the last block diagram consists of only one block. Beside each block diagram in your solution, state which implification rule$($s$)$ you have applied in that step.

$[2]$ For the block diagram provided in Question $1,$ use the algebraic approach we saw in class to find the transfer function Y$($s$)//$R$($s$).$ Recall that the "algebraic approach" involves labelling signals within the block diagram and finding the transfer function using equations

only $($i$.$e$.,$ no graphical simplifications$).$ Your solution should consist of a set of equations and substitution steps.