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The third time around in Chap 27, we solved this two-by-two system: x 3 + 6x 2 + 14x y = 7 and 6x + 2y = 2 As with all the other examples, we let x be the independent variable, and then we morphed to get y as a function of x in both cases In this situation we got y = x 3 + 6x 2 + 14x + 7 and y = 3x + 1 We found these solutions: (x, y) = ( 1, 2) (x, y) = ( 2, 5) (x, y) = ( 3, 8)

DO NOT REFER TO THE TEXT WHEN TAKING THIS TEST A GOOD SCORE IS AT LEAST 37 CORRECT Answers are in the back of the book It s best to have a friend check your score the first time, so you won t memorize the answers if you want to take the test again

Any communications receiver, whether analog or digital, audio or video, must do certain basic things well

First, we tabulate some points Table 28-3 shows several different values of x, along with the results of plugging those values into the functions and calculating All three solutions are included, and are written in bold We also include two x- values less than 3, and two larger than 1 Because the x-values for the solutions are consecutive integers, it makes sense to choose consecutive integers on either side of them

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Table 28-3 Selected values for graphing the functions y = x 3 + 6x 2 + 14x + 7 and y = 3x + 1 Bold entries indicate real solutions

1 In a JFET, the control electrode is usually the (a) source (b) emitter (c) drain (d) base (e) gate 2 A diode can be used as a frequency multiplier because of its (a) junction capacitance (b) nonlinearity (c) avalanche voltage (d) forward breakover (e) charge carrier concentration 3 Which of the following is not a common form of data transmission (a) Polarization modulation (b) Frequency modulation (c) Amplitude modulation (d) Phase modulation (e) Pulse modulation 4 A very brief, high-voltage spike on an ac power line is called (a) a bleeder (b) an arc

The sensitivity of a receiver is its ability to recover weak signals and process them into readable data The most common way to express receiver sensitivity is to state the number of ac signal microvolts at the antenna, needed to produce a given signal-to-noise (S/N) ratio Sometimes, the signal-plus-noise-to-noise ratio, abbreviated S+N/N, is given When you look at the specifications table for a radio receiver, you might see, for example, better than 03 V for 10 dB S/N This means that a signal of 03 V or less, at the antenna terminals, will result in a S/N ratio of 10 dB This figure is given as an example only and not as any sort of standard separating the good from the bad Technological advancements are always improving the sensitivity figures for communications receivers Besides that, a poor figure for one application, or on one frequency band, might be fine for some other intended use, or on some other frequency band The front end, or first RF amplifier stage, of a receiver is the most important stage with regard to sensitivity Sensitivity is directly related to the gain of this stage; but the amount of noise it generates is even more significant A good front end should produce the best possible S/N or S+N/N ratio at its output All subsequent stages will amplify the front-end noise output as well as the front-end signal output

Next, we plot the solution(s) By examining Table 28-3, we can see that the span of absolute values for the input is from 0 to 5, while the absolute values of the functions go up to 38 This time, let s make each increment on the x axis represent 1 unit, and each increment on the y axis represent 5 units With six divisions going out from 0 to the left and six to the right, that gives us an absolutevalue span from 0 to 6 for x, and that s enough For y, we have six divisions going up and eight going down, and that s sufficient to include all the function values in Table 28-3 Now that we ve decided on the dimensions of the coordinate grid, we can plot the three solution points as shown in Fig 28-3

( 2, 5) ( 3, 8)

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