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Perturbed function

  1. Nov 19, 2009 #1
    The Question that I have posted is attached due to the fact that the question could not be posted in this area.
    I am very sorry for the inconvenience

    Question is attached

    Thanking you in advance for your assistance
     

    Attached Files:

  2. jcsd
  3. Nov 20, 2009 #2

    HallsofIvy

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    If you honestly care so little about this problem that you cannot take the time to type a couple of polynomials, why should anyone else care?

    What you wrote was:
    Consider the polynomial: f(x)= x^5- 300x^3- 126x+ 5005
    which has a root alpha= 5. Also consider the perturbed function
    F_e(x)= f(x)- epsilon x^5= (1- epsilon)x^5- 300x^3- 126x+ 5005
    where epsilon is a small number. Letting alpha(epsilon) denote the perturbed root of F_e(x)= 0 corresponding to alpha(0)= 5, approximate alpha(epsilon)- 5.

    There, that wasn't so hard, was it. I intentionally did not use html tags or LaTex in order to show that it could be written out easily. Many people will not open ".doc" files because they are notorious for harboring viruses.

    As to your problem, replace x in the equation of F_e(x)= 0 by x= alpha- 5 and see what it reduces to.
    corresponding to estimate
     
  4. Nov 20, 2009 #3
    HallsofIvy

    thanks for that piece of info
     
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