# (solution) Can someone help me with this the first letter of my last name is

Can  someone help me with this the first letter of my last name is R.

The Internet is defined as a worldwide interconnection of individual networks operated by governments, industries, academia, and private parties (Internet World Stats, 2015). As the Internet grows and becomes more accessible to many people in the world, there is an increasing interest in forecasting its number of users as it helps improve the technology and its security.

In a recent study, researchers found that the rate of change of internet users in the world (in millions) is modeled by the function

where x is the number of years from 1994.

For the questions that require calculations, be sure to show your work details and if applicable, round your final answers to the nearest hundredths (2 digits after the decimal point) to receive full credit. For critical thinking questions, explain in detail how the answers were determined.

1. Using integration on, find the function P(x) that predicts the number of internet users in the world. (Note: Since this is an indefinite integral, do not forget to add a constant C in your final answer.)

2. Based on the first letter of your last name, calculate the value of C from #1 by choosing an ordered pair (x, P(x)) from the table below.

 First letter of your last name x P(x) (in millions) A?B 6 361 C?D 7 513 E?F 8 587 G?H 9 719 I?J 10 817 K?L 11 1,018 M?N 12 1,093 O?P 13 1,319 Q?R 14 1,574 S?T 15 1,802 U?V 16 2,267 W?X 17 2,497 Y?Z 18 2,802

3. From your answers in #1 and #2, state the mathematical model, P(x) (in millions), that will predict the number of internet users in the world.

4. Using P(x), complete the following table.

 Year x Predicted Number of Internet Users (in millions) 2016 2018 2020

5. Below is a graph of over the interval [2, 10]. Set up the definite integral that will calculate the area of the shaded region on the graph.

6. Calculate the area of the shaded region.

7. Interpret what the area means in terms of the given scenario.

8. As the Internet grows and becomes more accessible to many users, what do you think are its advantages and disadvantages? Be thorough in your explanation and if necessary to support analysis, be sure to include your reference/s in APA format.

Unit 5 IP Assignment Choice 2:

According to its Web site, ?SpeedOf.Me is an HTML5 Internet speed test. The smartest and most accurate online bandwidth test; it works well on?mobile devices as well as desktop computers.? By using your browser to test the Internet connection, it returns download and upload speeds including maximum rates and latency time periods. ?It reflects your actual browsing and download experience.?

Be sure to show your work details for all calculations and explain in detail how the answers were determined for critical thinking questions. Round all value answers to three decimals.

1. Go to this Web site, ?stop all Internet activities, and click ?Start Test?.? In the following order, record your device?s download, upload, latency, max download, and max upload values. Click ?Share? and select the bottom right URL to copy and paste here below.

2. Below is an example of download Megabits per second (Mbps):

Note, that the diagnostics give the graph repetitive spikes as for example:

Let?s examine the first second of this activity, modeled by the polynomial function:

Here, s(t) is the download speed Mbps with respect to t in seconds with the domain of [0,1].

Generate a graph of this function using Excel or another graphing utility. (There are free downloadable programs like Graph 4.4.2 or Mathematics 4.0; or, there are also online utilities such as this site and many others.) Insert the graph into the Word document containing your answers and work details. Be sure to label and number the axes appropriately.

3. Evaluate:

4. Evaluate the definite integral of this function over the interval [0,1].

5. Interpret your result from #4 above. Make sure to include your unit label measurements.

6. Because of the repetitive nature of peak shapes for your speeds, let?s assume that s(t) continues to increase past one second. After how many seconds would it take my computer at a speed of s(t) to download 5 Megabits?

(Note: You may use an online math solver to show your solution. For example, this Web site is a great way to check and provide answers. If so, please provide the URL link to your answer.)

References

Graph 4.4.2. (n.d.). Retrieved from the Graph Web site: http://www.padowan.dk/

Internet World Stats. (2015). Internet growth statistics. Retrieved from http://www.internetworldstats.com/emarketing.htm

Mathematics 4.0. (n.d.). Retrieved from the Microsoft Web site: http://microsoft-mathematics.en.uptodown.com/