Computer control of a robot to spray-paint an automobile is accomplished by the system shown by Ts) R(s) K Yis) s+5 Computer 1. (a) Find the output signal Y(s). (b) Assume K-a, find the sensitivity of the system against the fluctuation of the parameter a, when Ta(s)-0. (c) Determine the system type, when Ta(s)%=D0. 2. We wish to investigate the system when K 1,10, and 20. The feedback control block diagram is shown in the above Figure. (a) In the absence of the disturbance (Ta(s)=0), determine the percent overshoot, the settling time (with a 2% criterion), and the steady state error for a unit step input for the three values of K. Record your results in a table. (b) Choose one of the three values of K that provides acceptable performance. (c) For the value selected in part (b), determine the output for a disturbance Ta(s) 1/s, when R(s) = 0.

4. Consider the series RLC circuit in Homework 7, Question 2. The component values are R = 1 ohms, inductance = 0.3 henries, and capacitance C = 0.6 farads. Enter w (double-u) for w (omega). x(t) L C (a) Find the frequency response function H(w) Y(w) = X(w) H(w) = (b) Find the positive linear frequency fo = wo in Hz at which |H(w) = 1. This is the resonant frequency or the center frequency of the bandpass filter. fo = (c) Find the two positive frequencies f₁₁ = 1 and (fcı < fœ₂) in Hz, at which |H(w)| = fc2 = These are the half-power frequencies of the bandpass filter. fc₁ = fc₂ = R www y(t)

SHOW ALL STEPS:Use DeMorgan's Law, to formulate an expression for the complement of the following equations: F(x,y,z) = xy + ~xz + y~z      2. F(x, y) = x'y' + xy' + y(xy')

A signal's spectrum contains four components: -2500 Hz, -1700 Hz, +1700 Hz, and +2500 Hz. If we assume this spectrum is the product of two sinusoidal signals, what are the frequencies of the two signals whose product gives rise to this spectrum? 400 Hz and 2100 Hz 1700 Hz and 2500 Hz 1300 Hz and 2100 Hz 800 Hz and 4200 Hz