1. which of the following expression is equivalent to 2cos 2 x ? a. cos 2x-1 b.

Question

1. which of the following expression is equivalent to 2cos2x ?

a. cos 2x-1

b. cos 2x+1

c. cos 2x+2

d. 1-cos 2x

2. What is the shortest time that a 28,000 bps modem can transmit a 1 Mb file?

a. 36 s

b. 290 s

c. 980

d. 2300 s

3. find the solution to y" + 8y' +16y =0

4. what is the decimal equivalent of the following binary coded decimal number?

0001 1001 0110 0111

5. find the solution to y" + y' - 6y= 4et at y(0) = 2

6. According to the Nyquist sampling theorem, faithful reconstruction of an analog signal with a bandwidth of 29 kHz would require a sampling frequency of at least:

a. 2,900 samples per second

b. 29,000 samples per second

c. 58,000 samples per second

d. None of the above

7. If log5 x - -2.4, find x

8. If x[n] = u[n+4]-4u[n] + 3u[n-3], then x[2] is

9. Determine the total charge flowing into an element for 0 <t< 2s when the current entering its positive terminal is i(t)= exp (-2t)ma

10. A complex number is given by z = 0.3 + 0.4i. The reciprocal of the complex number is

a. 1.2 + 1.6i

b. 1.6+ 1.2i

c. 1.2 - 1.6i

d. 1.6 -1.2i

Explanation / Answer

1. b. cos2x + 1
2. b. 290 secs
3. y = Ae(-0.5+3.97i)x + Be(-0.5-3.97i)x
4. 6503

5. Ae-3x + (1-A)e2x - ex

6. c 58000 samoles per second

7. 0.021

8. u(6) - 4u(2) + 3u(-1)

9. -2ma(e-4 - 1) Coulomb

10. c. 1.2 - 1.6i

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