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1. A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?

2. Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing.
- f(x) = x3 - 3x^2 - 2x + 1
- f(x) = ex
- f(x) = 3x - 2
- f(x) = log x
- f(x) = x2 - 5x + 6

2006-11-06 00:32:01 · 6 answers · asked by pmgstudios 1 in Science & Mathematics Mathematics

6 answers

You already asked these questions 2 hours ago, and the second answerer gave you all the pointers you should need to be able to do them. What do you mean by "real answers"? Someone to complete all the work so you don't have to think about it? Have a look at what you've been given already and you should be able to do it.

2006-11-06 00:55:13 · answer #1 · answered by Hynton C 3 · 0 1

2. for the evaluation I'll let you do that, you can use a calculator or excel or something.

f(x) = x3 - 3x2 - 2x +1 is polynomial
f(x) = ex is exponential
f(x) = 3x-2 is linear
f(x) = log x is logarithmic
f(x) = x2 - 5x + 6 is polynomial

Fastest growing is exponential, then polynomials (highest power first) then linear and last is logarithmic.

2006-11-06 00:45:41 · answer #2 · answered by De Bob 2 · 0 0

1) Let c = number of computers infected, and let n = a five-minute interval, then the formula for this is: c = 20^n. If you set c = 100,000,000 and solve for n, then you'll have your answer:

100,000,000 = 20^n

log(100,000,000) = n*log(20)

8 = n * 1.3010299956639811952137388947245...

n = 8 / 1.3010299956639811952137388947245...

n = 6.1489742947219266058904183912189..., or approximately 30.744871473609633029452091956094... minutes.

2) This one involves graphing, which is difficult in a text box. Sorry. Good luck.

2006-11-06 00:46:00 · answer #3 · answered by Dave 6 · 0 0

1.
This is a gemetric series with r = 20
a1 = 20
a2 = 400
a3 = 80,000

Sn = a1((r^n) - 1)/(r-1)
100,000,000 = 20((20^n) - 1)/(20-1)
950,000 = 20^n - 1
20^n = 950,001
n = ln(950001) / ln(20)
n = 4.59460895

Therefore it will 5n minutes
That is
the total time is
time = 5*4.59460895
time = 22.97304475 minutes

2.
cubic polynomial- f(x) = x3 - 3x^2 - 2x + 1
exponential- f(x) = ex
linear- f(x) = 3x - 2
logarithmic- f(x) = log x
quadratic- f(x) = x2 - 5x + 6

2006-11-06 00:51:20 · answer #4 · answered by bhen 3 · 0 0

Actually, I see four sets of questions from this guy claiming he has been up all night and going crazy. Man, what a lazy SOB.

2006-11-06 01:17:51 · answer #5 · answered by Anonymous · 0 0

laugh! the difficulty is that somebody else would have made the alternative undertaking on the comparable 2d...if God is actual, he won't close down Y!A. Which call for would desire to he fulfill?...perchance he ought to easily close you down and depart it working high-quality for each guy or woman else? What if somebody else is praying for the respond to a query this is troubling them this nighttime...do you think of God may be extra possibly to respond to their prayer via no longer shutting down Y!A and perchance even best somebody to furnish the respond he or she desires. unquestionably that is extra substantial than pleasing your egocentric prefer for evidence. ...and conversing of evidence, if God had to tutor his existence to you, he ought to do something much extra dramatic and effectual than shutting down a server or community. The bible is crammed with thoughts of people who did no longer have faith dramatic evidence on a scale far previous shutting down a working laptop or computing gadget and that they nonetheless refused to have faith. If Y!an exceedingly did flow down, do you extremely think of God is ignorant sufficient to think of you will possibly settle for that as evidence? i think of no longer...you would be much extra possibly to declare twist of fate or seem for a technical explanation that had no longer something to do with God's intervention!

2016-10-21 08:41:50 · answer #6 · answered by reatherford 4 · 0 0

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