1. Which of the following signals are monotonic in nature?

a) 1-exp(-t)

b) 1-exp(sin(t))

c) log(tan(t))

d) cos(t)

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2. What is the period of the following signal, x(t) = sin(18*pi*t + 78 deg)?

a) ^{1}⁄_{9}

b) ^{2}⁄_{9}

c) ^{1}⁄_{3}

d) ^{4}⁄_{9}

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3. Which of the following signals is monotonic?

a) x(t) = t^{3} – 2t

b) x(t) = sin(t)

c) x(t) = sin^{2}2(t) + cos^{2}2(t) – 2t

d) x(t) = log(cos(t))

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4. For the signal, x(t) = log(cos(a*pi*t+d)) for a = 50 Hz, what is the time period of the signal, if periodic?

a) 0.16s

b) 0.08s

c) 0.12s

d) 0.04s

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5. What are the steady state values of the signals, 1-exp(-t), and 1-k*exp(-k*t)?

a) 1, k

b) 1, 1/k

c) k, k

d) 1, 1

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

a) Yes

b) Never

c) Not always

d) None of the mentioned

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7. For the signal x(t) = a – b*exp(-ct), what is the steady state value, and the initial value?

a) c, b

b) c, c-a

c) a, a-b

d) b, a-b

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8. For a double sided function, which is odd, what will be the integral of the function from -infinity to +infinity equal to?

a) Non-zero Finite

b) Zero

c) Infinite

d) None of the mentioned

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9. Find where the signal x(t) = 1/(t^{2} – 3t + 2) finds its maximum value between (1.25, 1.75):

a) 1.40

b) 1.45

c) 1.55

d) 1.50

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10. Is the signal x(t) = exp(-t)*sin(t) periodic in nature?

a) Yes

b) No

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