1. Not finding help here? Sign up for a free 30min 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!

Use the inverse function theorem to estimate the change in the roots

  1. Mar 15, 2013 #1
    1. The problem statement, all variables and given/known data
    Let [itex]p(\lambda )=\lambda^3+a_2\lambda^2+a_1\lambda+a_0=(\lambda-x_1)(\lambda-x_2)(\lambda-x_3)[/itex] be a cubic polynomial in 1 variable [itex]\lambda[/itex]. Use the inverse function theorem to estimate the change in the roots [itex]0<x_1<x_2<x_3[/itex] if [itex]a=(a_2,a_1,a_0)=(-6,11,-6)[/itex] and [itex]a[/itex] changes by [itex]\Delta a=0.01a[/itex].





    2. Relevant equations

    n/a

    3. The attempt at a solution
    How can I use the inverse function theorem to estimate?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Use the inverse function theorem to estimate the change in the roots
  1. Inverse of a function (Replies: 0)

Loading...