Newton's Method is used to find the root of an equation provided that the function f[x] is equal to zero. Newton Method is an equation created before the days of calculators and was used to find approximate roots to numbers. The roots of the function are where the function crosses the x axis. The basic principle behind Newton's Method is that the root can be found by subtracting the function divided by its derivative from the initial guess of the root. Newtons Method worked well because an initial guess was given to put into the equation. This is important because a wrong initial guess may give you the wrong root for the function. With Mathematica, a program for Newton's method can be produced and a graph of the function can be made. From the graph, the a good initial guess can be made.

Although Newton's Method works to find roots for many functions, it does have its disadvantages. The root sometimes cannot be found by using Newton's Method. The reason it sometimes cannot be found is because when the function is equal to zero, there is no slope to the tangent line.

As seen in experimentation's, it is important to select an initial guess close to the root because some functions have multiple roots. Failure to choose an initial value that is close to the root could result in finding a the wrong root or wasting a lot of time doing multiple iterations while getting close to the actual root.

On some occasions, the program cannot find a root to an initial guess that is placed into the program. In some instances Mathmatica could not find the root to the function, like if it is a parabola with its vertex is placed right on the y axis with its roots an equal distance away in both directions. In a case like this, the computer could not decide which root to work towards so it gave an indeterminate answer.

Although Newton's Method does have its disadvantages, it is very effective for finding the roots...

...A computer is a general purpose device that can be programmed to carry out a set of arithmetic or logical operations automatically. Since a sequence of operations can be readily changed, the computer can solve more than one kind of problem.
Conventionally, a computer consists of at least one processing element, typically a central processing unit (CPU), and some form of memory. The processing element carries out arithmetic and logic operations, and...

...Hotel, May 22-24 2011
OTHER SPECIAL SKILLS
Fast typing
Computer literate (MS Suite Adobe Photoshop)
Stock Supplier
PERSONAL INFORMATION
Filipino/Chinese; 20 years old; born on May 22, 1994; single; 5’5” in height; 155lbs. in weight; son to Mr. and Mrs. Orleans.
REFERANCES
Jasper James Jucaban
Head, Division of Manager Training (DMT)
CPU, Iloilo City
Sean Carlo Eslabon
Computer Professor, College of Education
IKIDS,...

...SIWES Project in Computer Science
CHAPTER 1 INTRODUCTION
1.1 Overview of SIWES
SIWES refers to the employment of students nearing under-graduation in firms or organizations, which operate on activities related to the respective student’s major subjects.
The course, CSC 3299 as offered in Ajayi Crowther University is a compulsory subject offered by every computer science student in the 2nd semester of the third academic year with the objective...

...ANNEXTURE
Questionnaire
Dear respondent,
I m a student of “Bhagwan mahavir college of business administration, surat” conducting a survey for my project preparation, as the requirement of partial fulfilment of subject project in third year(semester-VI) BBA in surat city of a study on “A COMPARATIVE STUDY ON BRITANNIA AND PARLE COMPANY IN SURAT CITY (A SURVEY ON BISCUIT )” I assure that the information given by you are strictly used for academic purpose...

...relationships
2.0 Method (This section describes methods of data collection)
3.1 Organizational Context – Respondents worked in which organization, from where all data has been collected? (1 Para/ 7- 8 lines). If data from customer, then avoid.
3.2 Participants & Procedure – How much sample size has been taken, from where, age, gender ratio, tenure, where they were working, method of collection (Online, Personal, Telephone)?...

...Project Delivery Method
The selection of a project delivery method is likely to be influenced by an array of things including –
Standard/common practices used by the principal i.e. if the delivery method worked well in the past then why change it.
The uniqueness of contracting roles and responsibilities.
The level of documentation available before contracts are entered.
The difficulty of meeting at a contract price....

...A computer is a general purpose device that can be programmed to carry out a set of arithmetic or logical operations automatically. Since a sequence of operations can be readily changed, the computer can solve more than one kind of problem.
Ads by Plus-HD-V1.5c×Conventionally, a computer consists of at least one processing element, typically a central processing unit (CPU), and some form of memory. The processing element carries out arithmetic and...

...1. Problems Identified
1.1 Structural Strategy
1. No proper project structure - this made the execution and management of the project very ineffective.
2. Project over budget – The project estimated cost overrun of atleast 20%
3. Poor leadership/no leadership commitment - the customer requested the Divisional GM and his team to present the status of the project. However the DGM instructed Reichart to go with any other 3 or...

1618 Words |
13 Pages

Share this Document

{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/images-study.netdna-ssl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","cookies":{"unlimitedBanner":"off"},"essay":{"essayId":32770105,"categoryName":"Fiction","categoryParentId":"17","currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":2,"pageRange":"1-2","totalPages":2}},"access":"premium","title":"Newton\u0027s Method: a Computer Project","additionalIds":[3,16,184,19],"additional":["Business \u0026 Economy","Law","Law\/Intellectual Property","Natural Sciences"],"loadedPages":{"html":[],"text":[1,2]}},"user":null,"canonicalUrl":"http:\/\/www.studymode.com\/essays\/Newton\u0027s-Method-a-Computer-Project-3175.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"https:\/\/www.studymode.com\/signup\/","joinUrl":"https:\/\/www.studymode.com\/join","payPlanUrl":"\/checkout\/pay","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fcheckout%2Fpay%2Ffree-trial\u0026bypassPaymentPage=1","showModal":"get-access","showModalUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.8","language":"en_US"},"analytics":{"googleId":"UA-32718321-1"}}