1. Which of the following systems is stable?

a) y(t) = log(x(t))

b) y(t) = sin(x(t))

c) y(t) = exp(x(t))

d) y(t) = tx(t) + 1

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2. State whether the integrator system is stable or not.

a) Unstable

b) Stable

c) Partially Stable

d) All of the mentioned

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3. For what values of k is the following system stable, y = (k^2 – 3k -4)log(x) + sin(x)?

a) k=1,4

b) k=2,3

c) k=5,4

d) k =4,-1

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4. For a bounded function, is the integral of the odd function from -infinity to +infinity defined and finite?

a) Yes

b) Never

c) Not always

d) None of the mentioned

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5. When a system is such that the square sum of its impulse response tends to infinity when summed over all real time space,

a) System is marginally stable

b) System is unstable

c) System is stable

d) None of the mentioned

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6. Is the system h(t) = exp(-jwt) stable?

a) Yes

b) No

c) Can’t say

d) None of the mentioned

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7. Is the system h(t) = exp(-t) stable?

a) Yes

b) No

c) Can’t say

d) None of the mentioned

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8. Comment on the stability of the following system, y[n] = n*x[n-1].

a) Stable

b) Unstable

c) Partially Stable

d) All of the mentioned

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9. Comment on the stability of the following system, y[n] = (x[n-1])^{n}.

a) Stable

b) Unstable

c) Partially Stable

d) All of the mentioned

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10. What is the consequence of marginally stable systems?

a) The system will turn out to be critically damped

b) The system will be an overdamped system

c) It will be a damped system

d) Purely oscillatory system

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