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
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