Bisection method and the newton method, Mathematics

Assignment Help:

1. Write two m-files, one for the bisection method and another for Newton's method.

2. Using both the Bisection method and the Newton method answer the following:

Include the commands you typed into Matlab

a) Find the root to 3, 5, and 8 decimal places of f(x) = x2- 2 starting with an initial approximation of x=1.

b) How many steps did it take for the bisection method to find the root to 3, 5, and 8 decimal places?

c) How many steps did it take for the Newton method to find the root to 3, 5 and 8 decimal places?

3. Use Newton's method to find all the real roots of f(x) = x5+ x4 -4x3 - 3x2- 3x +1

4. Apply Newton's method to the function f(x) = x3 - x with an initial approximation of x=1/√5.  Is the method converging?  What happens?  Explain your answer using the graph of f(x).

5. Use Newton's method on the function (x) = 3√5 . What happens when your initial approximation is not x=0?  Explain your answer using the graph of f(x).


Related Discussions:- Bisection method and the newton method

Calculate zeros in the denominator of rational expressions, About Zeros in ...

About Zeros in the Denominator of Rational Expressions One thing that you must be careful about when working with rational expressions is that the denominator can never be zero

Which of the subsequent terms does not describe the number 9, Which of the ...

Which of the subsequent terms does NOT describe the number 9? Nine is NOT prime since it has 3 factors; 1, 3, and 9. Prime numbers have only 2 factors.

Combination, Combination A combination is a group of times whether ord...

Combination A combination is a group of times whether order is not significant. For a combination to hold at any described time it must comprise of the same items however i

Definition of laplace transforms, You know that it's all the time a little ...

You know that it's all the time a little scary while we devote an entire section just to the definition of something. Laplace transforms or just transforms can appear scary while w

Application of statistics-human resource management, Human resource managem...

Human resource management Statistics may be utilized in efficient employ of human resources for example we may provide questionnaires to workers to find out where the manageme

Number line, I need to graph rational numbers on the number line Point A-.6...

I need to graph rational numbers on the number line Point A-.60, point B-1/4, point C-.4,point D-7/8

2(sin 6+cos6) - 3(sin4+cos4)+1 = 0, 2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?...

2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans:    (Sin 2 ?)3  + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3  +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co

Fractions, If i worked 7 1/3 hours and planted 11 trees how many hours did ...

If i worked 7 1/3 hours and planted 11 trees how many hours did it take to plant each tree?

HELP, a manufacturer is interested in developing a benefit segmentation of ...

a manufacturer is interested in developing a benefit segmentation of the cameramarket.suggest some major benefit segments with market targeting strategies.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd