Find the state-space representation of the transfer function shown in Figure R(s) s²+7s+2 ³+9s²+265 +24 C(s)

Solve for the voltage output using the transfer function below.  please label your step-by-step on how your solve for the circuit and please dont reupload or copy from other bartleby post because I couldn't understand them.  The answer from the picture is from my other bartleby post. I dont understand how the circled equation arrived. please explain that equation or make your simple computation for the voltage out where I could understand it.

RC Circuit For the circuit shown in Fig. 2] find v(t) for t>0. Assume the switch has been on for long enough time. t=0 40 4V(+ + 10V(+) 52 { (4) 2v 203 v(t)= 4F Figure 2: The circuit schematic

bläi 3 A second order system that has the following properties Damping ratio of 0.75, underdamped natural frequency 10 rad/sec, and steady state value at zero is 1. Then the transfer function is 100 s2 + 10.75 s + 100 Option 4 O

3. Find a realization for the following transfer functions 8s3 + 30s? + 25 Ĝ(s) 4s3 + 12s? + 15s + 6

sub= 1

Determine whether the system defined by the following transfer functions are stable or not. Use routh stability criterion. s2 + 5s + 9 H(s) = s5 + 5s4 + 9s3 +7s² + 6s + 2

B: Find the state space model for the following transfer function 2S3 G(s) = +7S2+12S+8 S3+6S2+11S+9

Question 1 Determine the transfer functions in the figure below. You can assume that the transfer functions are either 1-order or 2nd order and underdamped, and that a unit step input has been applied at t =0 seconds. 1.2 25 0.8 0.6 1.5 0.4 0.2 10 15 1.2 1. 0.8 0.6 0.4 2 0.2 10 15 0.5 1.5 Figure 1: Step responses of four different systems. Unit step input applied at t =0 seconds.

Find transfer function G(s)=V0(S)/ Vi(S) for the following circuit