Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By HallsofIvy

Math Help - Root finding for

  1. #1
    Newbie
    Joined
    Mar 2013
    From
    Philippines
    Posts
    3

    Unhappy Root finding

    Please help..thanks

    1. Using Newton's Method, find a numerical approximation to the Zero of

    F(x) = e^(-x/3) - 0.05471*x

    on [2.5,2.9] starting with the endpoint (k = 0) having the smallest value of |f|,
    keeping track of the number of ALL function evaluations kfe, the current
    Change in sign interval [a_k,b_k], and tabulating


    K kfe a_k b_k x_k f_k f_k' x_{k+1} |x_{k+1}-x_k|
    0
    ... ...
    until |x_{k+1}-x_k| < 0.5e-2.

    |for k = 0 to 3 iterations.
    Last edited by timehero; March 3rd 2013 at 06:51 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,393
    Thanks
    1327

    Re: Root finding for

    Do you know what "Newton's method" is?

    Newton's method, for solving an equation of the form f(x)= 0 is to start with some initial "guess" x_0 and then form a sequence of numbers by x_1= f(x_0)/f'(x_0), x_2= f(x_1)/f'(x_2), ....

    Here your function is f(x)= e^(-x/3) - 0.05471*x. What is f'(x)?

    The problem asks that you set x_0 to "the endpoint (of [2.5, 2.9]) having the smallest value of |f|".
    Okay, what is |f(2.5)|? What is |f(2.9)|?
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding the root of 75
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 17th 2012, 11:41 PM
  2. Finding Cube root
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 16th 2011, 07:06 AM
  3. Finding root of equation
    Posted in the Calculus Forum
    Replies: 5
    Last Post: May 22nd 2010, 01:33 PM
  4. mathlab- root finding
    Posted in the Math Software Forum
    Replies: 1
    Last Post: October 16th 2009, 05:17 PM
  5. Root finding in three dimensions
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: September 20th 2009, 09:06 AM

Search Tags


/mathhelpforum @mathhelpforum