316.  Consider a unity-gain feedback control system whose open-loop transfer function is as +1 G(s) = s2 The value of 'a' so that the system has a phase-margin equal to ? is approximately equal to
A.2.4
B.1.4
C.0.84
D.0.74

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317.  Consider a unity-gain feedback control system whose open-loop transfer function is as +1 G(s) = s2 With the value of 'a' set for a phase-margin of ?, the value of unit-4 K(s + 1)(s3 + as2 + 2s + 1) impulse response of the open-loop system at t = 1 second is equal to
A.3.4
B.2.4
C.1.84
D.1.74

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318.  Which one of the following function is strictly bounded?
A. fi(t) and f2(t) are orthogonal
B.fi(t) and f3(t) are orthogonal
C.f2(t) and f3(t) are orthogonal
D.fi(t) and f2(t) are orthonomal

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319.  Four the function approximation around
A. (3 - x)e-2
B. 1 ? x
C. [3 +21i -(1+x]e-2
D. e-2

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320.  If the closed-loop transfer function of a control system is given as s- 5 T(s) = , then it is (s + 2)(s + 3)
A. an unstable system
B. an uncontrollable system
C. a minimum phase system
D. a non-minimum phase system

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321.  Consider the function f(x) = x2 - x -2. The maximum value off(x) in the closed interval 1-4, 41 is
A.18
B.(c) -2.25
C.B
D. e2

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322.  The solution of the differential equation 2 d2Yk --2- = y - y2 under the boundary dx conditions (i) y = yi at x = 0 and (ii) y = y2 at x = 00, where k, y1 and y2 are constants, is
A. y = (y1 - y2) exp(-x/k2) + y2
B. y = (y2 - y1) exp(-x/k) + yi
C. y = (y1 - y2) sin h(x/k) + y1
D. y = (y1 - y2) exp(-x/k) + y2

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