Problem 2(a) [(i)-6pts, (ii)-4pts] (a) Given the second-order frequency response function: 200 H(j@)= (ja)² +21jw+20 (i) Analytically determine the straight line approximations (asymptotes) of the Bode magnitude plot of the frequency

response function. (ii) Sketch the Bode magnitude (dB) of the frequency response function, clearly labeled, and indicate the frequency (@) where the 0 dB-line is crossed on your sketch. You are not required to sketch the phase. Solution 2(a):/nProblem 2(b) [(i)-2pts, (ii)-4pts, (iii)-2pts, (iv)-2pts] An LTI system subjected to an input x() has a response y(t), and its frequency response function is: H(jw) = 1 (jo)² +R(ja) +1 where R is a resistance (2). (i) What is the linear constant coefficient differential equation (l. c. c. d. e) describing the system, and what is the order of the system? (ii) For what range of values of the resistance R is the system underdamped? (iii) If R = 102, what is the impulse response, h(t) of the system? (iv) If R=102, what is the step response, s(t) of the system? Solution 2(b):