1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Newton's Method (INTERSECTION POINTS)

  1. Nov 17, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the x-coordinate of the first point in the region where intersects . Give your answer to 6 significant figures.

    2. Relevant equations
    x_1=x_0- (f(x)/f'(x))

    3. The attempt at a solution
    I equated the two equations and got:

    I also looked at the graph and got that the intersection point is around 1.5

    I used newton's method but the only thing I keep getting is 0, can anyone help me to find the OTHER intersection point?
  2. jcsd
  3. Nov 17, 2008 #2


    User Avatar
    Homework Helper
    Gold Member

    I assume that since you know the point of intersection is around 1.5, that is the value you are using as your guess x_0 in Newton's method?

    If so, you will have to show me your work for me to be able to see where you are going wrong.
  4. Nov 17, 2008 #3


    User Avatar
    Science Advisor

    First, x= 0 is obviously a solution of tan(x)= 5x. Using a starting point close enough to a positive solution should work.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook