Use Newton's method to solve the equation 0 = 1/2 + 1/4 x2 x sin x
Question:
Iterate using Newton's method until an accuracy of 10−5 is obtained. Explain why the result seems unusual for Newton's method. Also, solve the equation with p0 = 5π and p0 = 10π.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 76% (21 reviews)
Newtons method gives p 15 1895488 for p 0 p 2 ...View the full answer
Answered By
Madhur Jain
I have 6 years of rich teaching experience in subjects like Mathematics, Accounting, and Entrance Exams preparation. With my experience, I am able to quickly adapt to the student's level of understanding and make the best use of his time.
I focus on teaching concepts along with the applications and what separates me is the connection I create with my students. I am well qualified for working on complex problems and reaching out to the solutions in minimal time. I was also awarded 'The Best Tutor Award' for 2 consecutive years in my previous job.
Hoping to get to work on some really interesting problems here.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Use Newton's Method to solve 3x - cos2x = 0 accurate to six decimal places. Use x1 = 0.5.
-
Use Newton's method to solve x2 = 0 (the solution is 0). Why does it approach the solution so slowly? As mentioned in the text, although Newton's method works incredibly well most of the time, it can...
-
Use Newton's method to solve |x| = 0 (the solution is 0). This is the square root of the absolute value of x. Why does the method fail? As mentioned in the text, although Newton's method works...
-
The doctrine of intention to create legal relations has now become a challenge towards the doctrine of consideration, which has been riddled with so many criticisms and as such the former doctrine...
-
How can financial-service customers limit the sharing of their private data by different financial-service firms? In what ways could customer information sharing be useful for financial institutions...
-
As indicated in the chapter, the CBO forecast that real GDP would grow at an average annual rate of 2.1 percent from 2019 to 2029. The Trump administration pledged to raise the growth rate to 3...
-
Larson Property Management Company is one of the largest property management companies in California, with more than 1,000 employees. The company provides a full array of commercial management and...
-
Pot Ltd. is a large Canadian manufacturing company. It plans to vertically integrate for strategic reasons. The board of directors decided in December 20X1 that it would be wise to take control over...
-
In a 150-250 word response (excluding references) and respond to any two of the following bullet points in your response. Describe the different stages a proposed product will need to go through...
-
Paper Solutions Ltd manufactures three different models of paper shredders including the waste container that serves as the base. While the shredder heads are different for the three models, the...
-
The following describes Newton's method graphically: Suppose that f'(x) exists on [a, b] and that f'(x) 0 on [a, b]. Further, suppose there exists one p [a, b] such that f (p) = 0, and let p0 [a,...
-
The fourth-degree polynomial f (x) = 230x4 + 18x3 + 9x2 221x - 9 has two real zeros, one in [1, 0] and the other in [0, 1]. Attempt to approximate these zeros to within 106 using the a. Method of...
-
Find the NAICS code for the property and casualty insurance business.
-
What criterion determines whether it is appropriate to apply static or dynamic analysis?
-
Why do you think it is difficult for managers to describe their organisations culture in detail?
-
Explain the performance management systems model and the key processes embedded in the model;
-
Explain two reasons why environmental degradation need not accompany growth.
-
If the interest rates on 1-, 5-, 10-, and 30-year bonds are 4%, 5%, 6%, and 7%, respectively, how would you describe the yield curve? If the rates were reversed, how would you describe it?
-
In the early part of the twentieth century, it was cheaper to travel by rail from New York to San Francisco than it was to travel from New York to Denver, even though the train to San Francisco would...
-
Walker, Inc., is an all-equity firm. The cost of the company's equity is currently 11.4 percent and the risk-free.rate is 3.3 percent. The company is currently considering a project that will cost...
-
The probability that a customers order is not shipped on time is 0.05. A particular customer places three orders, and the orders are placed far enough apart in time that they can be considered to be...
-
Let E1, E2, and E3 denote the samples that conform to a percentage of solids specification, a molecular weight specification, and a color specification, respectively. A total of 240 samples are...
-
Transactions to a computer database are either new items or changes to previous items. The addition of an item can be completed less than 100 milliseconds 90% of the time, but only 20% of changes to...
-
O O A Dundas Company's inventory records for its retail division show the following at May 31: (Click the icon to view the accounting records.) At May 31, 10 of these units are on hand. Dundas...
-
4. R got 35% hike in his salary and 20% incentive on sales. If R sold goods worth Rs. 850 last year and the salary was Rs 70, then how much more does he earn this year with sales of Rs.900?
-
Teachers salaries have not been increasing as fast as the pay in many other types of work. Explain why you think this might be true. use graph of the supply and demand for teacher's labor to help...
Study smarter with the SolutionInn App