Question: Given that the transfer function of a control system is given by the equation below, complete the following tasks: 2s+6 G(s) = %3D s2

Given that the transfer function of a control system is given by

Given that the transfer function of a control system is given by the equation below, complete the following tasks: 2s+6 G(s) = %3D s2 +5s+6 Note: Assume zero initial conditions a). Plot the poles and zeroes on an Argand Plane b). Find the Inverse Laplace Transform Function f(t) c). Graph f(t) using desmos. Please submit a hard-copy of your desmos output. d). Determine whether the control system is marginally stable, stable or unstable. Give reasons for your answer.

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