Calculate critical thinking questions, explain in detail how the answers were determined.

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.

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.)

Based on the letter T 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

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.

Using P(x), complete the following table.

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

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.

Calculate the area of the shaded region.

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

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.