Thursday
March 23, 2017

Post a New Question

Posted by on Thursday, November 17, 2011 at 12:04am.

The graphs of f(x) = x^3 and g(x) = 3X+5 have one intersection point. Determine the x-value for this intersection point using Newton's Method with an initial estimate of X1=2. You should use this method three times in order to obtain estimates X2, X3, and X4.

  • Calculus - , Thursday, November 17, 2011 at 12:32am

    To find the intersection point, set
    x^3 = 3x+5
    x^3-3x-5 = 0
    let y = x^3 - 3x -+ 5
    dy/dx = 3x^2 - 3

    newx = x - y/y' = x - (x^3 - 3x - 5)/(3x^2 - 3)
    = (2x^3 + 5)/(3x^3-3)

    Using my calculator
    x1 = 21/9 = 2.333333
    x2 = 2.28055555
    x3 = 2.27902
    x4 = 2.27902 --- correct to 5 decimal places !!!!

  • Calculus - , Thursday, November 17, 2011 at 2:02pm

    What is this newx and how did you get the equation that says x-y/y'

  • Calculus - , Friday, November 18, 2011 at 5:20pm

    Your problem says to use Newton's Method

    I stated the formula for Newton's Method.
    Are you in over your head for this question?

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question