Question 51. The complex function tanh (s) is analytic over a region of the imaginary axis of the complex
s-plane if the following is TRUE everywhere in the region for all integers n

Question 52. Two systems with impulse responses h1 (t) and h2 (t) are connected in cascade. Then the overall
impulse response of the cascaded system is given by

Question 53. If the A-matrix of the state space model of a SISO linear time invariant system is rank deficient, the
transfer function of the system must have

Question 54. For a vector E, which one of the following statements is NOT TRUE?

Question 55. Consider a plant with the transfer function G(s) = 1/(s + 1)3. Let Ku and Tu be the ultimate gain and ultimate period corresponding to the frequency response based closed loop Ziegler-Nichols cycling method, respectively. The Ziegler-Nichols tuning rule for a P-controller is given as : K = 0.5 Ku. The values of Ku and Tu, respectively, are

Question 56. Consider a plant with the transfer function G(s) = 1/(s + 1)3. Let Ku and Tu be the ultimate gain and ultimate period corresponding to the frequency response based closed loop Ziegler-Nichols cycling method, respectively. The Ziegler-Nichols tuning rule for a P-controller is given as : K = 0.5 Ku. The gain of the transfer function between the plant output and an additive load disturbance input of frequency 2Ï€/Tu in closed loop with a P-controller designed according to the Ziegler-Nichols tuning rule as given above is

Question 57. Statement: You can always give me a ring whenever you need. Which one of the following is the best inference from the above statement?

Question 58. Complete the sentence: Dare _______________ mistakes.

Question 59. They were requested not to quarrel with others. Which one of the following options is the closest in meaning to the word quarrel?

Question 60. Choose the grammatically CORRECT sentence: