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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:
    0=tanx-5x

    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

    gabbagabbahey

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    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

    HallsofIvy

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    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.
     
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