Results 1 to 3 of 3

Math Help - Newton's Method

  1. #1
    Newbie
    Joined
    Mar 2010
    From
    Louisiana
    Posts
    3

    Newton's Method

    This is my first post, so I'm hoping that this is in the correct section
    Use Newton's Method to find the two solutions

    e^x=5.5x

    https://webwork.math.lsu.edu/webwork...rob4image1.png

    solve for
    xleft=________
    xright=_______
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by creativename View Post
    This is my first post, so I'm hoping that this is in the correct section
    Use Newton's Method to find the two solutions

    e^x=5.5x

    https://webwork.math.lsu.edu/webwork...rob4image1.png

    solve for
    xleft=________
    xright=_______
    Newton's method - Wikipedia, the free encyclopedia

    Using this formula with f(x)=e^{x}-5.5x \implies f'(x)=e^{x}-5.5

    x_{n+1}=x_n-\frac{e^{x_n}-5.5x_n}{e^{x_n}-5.5}

    Note that f(0) is positive and f(1) is negative so taking a guess set x_0=0.5

    Then just iterate the series until you get the desired accuracry

    Here is a excel worksheet it only take 2 interations to get 4 decimal places of accuracy.
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2010
    From
    Louisiana
    Posts
    3
    thanks, using that method i was able to attain the left end point at
    xleft=0.22846094

    however I'm still uncertain of the right end point
    thanks again for the quick reply!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Newton's Method
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 6th 2009, 04:10 PM
  2. Newton's method
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: October 17th 2009, 01:46 PM
  3. Newton's Method
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 15th 2009, 09:03 PM
  4. Newton's Method help!!
    Posted in the Calculus Forum
    Replies: 0
    Last Post: October 29th 2008, 06:27 PM
  5. Newton's Method
    Posted in the Calculus Forum
    Replies: 7
    Last Post: December 12th 2007, 09:53 AM

Search Tags


/mathhelpforum @mathhelpforum