Instructions (Assigned Problems): (1) For MATLAB problems, you must include both the input code and the output generated in the command window. Your presented solution should be clear, well-organized, and professional in appearance. Assignments that do not follow these guidelines will not be graded. (2) Create a single PDF file and upload it to Canvas Assigned Problems: Perform the following problem by hand: AP1. An armature-controlled DC motor with load is represented by the transfer function: wm(s) Va(s) K (s + a) where the output, wm(s), is the rotor speed in rad/s and the input, Va(s), is the applied armature voltage in volts. A DC motor is being benchmark tested to determine its transfer function. The input voltage is held constant at 7 V. At time t = 2.5 seconds, the rotor speed is 40 rad/s. The steady-state speed of the of motor (t ) is 120 rad/s. Determine the transfer function constants K and a for the motor. Hint: Make use of the final value theorem