Solve all problems and show your steps to receive full credit. Submit as a single PDF file via Google Classroom, Problem 1 (Spts): Reduce the following block diagrams in Figures 1 and 2. Find the transfer functions G(s) = Y(s)/R(s). For the final answer of Problem 1.B; write the transfer function such that the leading coefficient of the denominator is equal to 1. G () 6,5) + G(s) G(s) R(s) Y(5) Figure I. Problem 1 R(S) 5+2 Y(S) Figure 2. Problem / 8 Problem 2 (10pts): Consider the following transfer function and answer the following questions Assume the input is a unit step function, u(t) = 1, 120. Write all your steps (you can verify the results with your MATLAB script from ) Y(8) 24 G(s) = U(S) 2s + 4s +32 a) Compute and, and determine the type of response (underdampled, overdamped, etc.) b) Compute the settling time, time to peak, and % of overshoot c) Compute the steady-state value of the output and the steady-state error (in percentage) d) Sketch the time response of the system to the step input. Use a ruler