Faster internet provider investigation
Faster internet provider investigation
[Document subtitle]
center850009088120Due:
2000 words 10 pages
1000000Due:
2000 words 10 pages
Contents
TOC o "1-3" h z u Introduction PAGEREF _Toc119052238 h 2Procedure PAGEREF _Toc119052239 h 2Observations PAGEREF _Toc119052240 h 2Assumptions PAGEREF _Toc119052241 h 2Sample Calculations PAGEREF _Toc119052242 h 6Discussion and Evaluation PAGEREF _Toc119052243 h 8Conclusion- PAGEREF _Toc119052244 h 9Strength- PAGEREF _Toc119052245 h 9Limitations- PAGEREF _Toc119052246 h 9Improvements/ Refinements- PAGEREF _Toc119052247 h 9References PAGEREF _Toc119052248 h 10
IntroductionAs the globe struggles with the COVID-19 epidemic, internet speeds have grown in importance. With more individuals working from home, streaming video, and utilising the internet for education, there has never been a greater need for dependable, fast internet. The task is to consider 2 internet providers and determine which is the better option. We are given a internet service which we have to compare a new provider with.
ObservationsAs the globe struggled with the COVID-19 epidemic, internet speeds have grown in importance. With more individuals working from home, streaming video, and utilising the internet for education, there has never been a greater need for dependable, fast internet. An additional 782 million people came online in just two years since 2019 (un.org 2021)
Observations show that the number of users, the amount of data being transferred, the technology, and the time may all have an impact on download speeds. In big networks such as buildings, public places, and schools. Thus, we can say that internet speed is dependent upon a number of factors.
1024 kilobytes = 1 megabytes
AssumptionsInternet speed is not constant, our assumption will be that these internet speeds are for residential purposes as residential Internet speeds are strong due to the availability of high-speed broadband connections such as fibre optics, cable, and DSL. These connections enable rapid download and upload rates, allowing users to stream movies, play online games, and download huge files swiftly and efficiently. Furthermore, many ISPs provide discounts and promotions to residential consumers, making high-speed internet more accessible.
Mathematical Concepts and Techniques
For model 1 we are using the trapezoidal method
And then for approx. answer to get the more accurate answer we are refining it by using integration and differentiation and functions.
Model 1
To calculate the area the following equation was used:
A=w2E+2Mw2(0+6+2(2+4+8+16+3250+42+2)Approx. Area=1763 ds unitsWe going to refine it using integration and differentiation.
Using GeoGebra we will get equation of function used for integration.
The procedure we can use for this is:
Individual points were assigned for this report.
Observations and assumptions were listed.
GeoGebra was used to display all points in a scatterplot.
The points were split up by phases.
A polynomial line was added to distinguish each phase of the download and to display a graph of fluctuating download speed using the FITPOLY function.
A domain was set for each phase using the function FUNCTION on GeoGebra
The formula A= bafx dx was used to find the integral of the first phase and displayed in the sample calculations.
The area under the curve for each phase was found using the INTEGRAL function.
A table was displayed showing each phase and their areas.
The amount of time it would take to download a 2-gigabyte file was found using the formulas: average speed=sum of all integralstime and Time taken to download 2GB=File sizeDownload time per secondThe scatter plotted points in the excel file below were scatter plotted into GeoGebra.
For internet service provider A
For internet provider B
h(x)=FitPoly({(0,0),(1,2),(2,4),(3,8)},3) Using fitpoly just for first 4 points from excel for internet provider A.