Exercise. In this exercise, you will examine the changes to the analytic step response of a transfer function with a single zero. Consider the transfer function used in the previous activity: S – Z0 G...

Extracted text: Exercise. In this exercise, you will examine the changes to the analytic step response of a transfer function with a single zero. Consider the transfer function used in the previous activity: S – Z0 G = s2 + 2s + 2 (a) Compute the symbolic form of the step response of the transfer function, x(t). You can perform the analytic computations by hand or using the Symbolic Math Toolbox. % Use these symbolic variables syms s z_0 t positive % write your solution here X = NaN (b) Plot the analytic step response with zo = -1 on the interval te [0, 10]. If you computed the step response function with the Symbolic Math Toolbox, you can use the matlabFunction command to convert it to a function handle that you can evaluate. % Create your plot here (c) Using the analytic form of the transfer function, compute the limit of the function as t →. % write your solution here tlim = NaN