[CSC 335] Homework

[Andrew J. Pounds]

On 10/19/13 00:57, Ehjayson Rolston Henry wrote:
> Hi Dr. Pounds,
>
> I have a few questions about the homework so far.
>  For question 4.1 #21: at the end of equation (4.7) there is f^(5) 
> (xi) however we don't have the equation for f(x) does that mean we 
> need to find the equation from the table given? and is there a fixed 
> value for the symbol (xi)?

That's right -- you do not have the equation (otherwise you would not 
need to take the derivative numerically).  As we saw with the 
interpolating polynomials (and Taylor polynomials) the terms including 
the greek letter xi are estimates of the error in the calculation.  You 
do not need to calculate it for this problem.

>
> In part b the values given are not in the table but are the midpoint 
> of the given values. Can I just at both values and then divide by two 
> to get the value for the point in between both?
>
> Thanks
> Ehjayson

Please read the paragraph right below equation 4.7 in the text -- I 
think it answers your question.

-- 
Andrew J. Pounds, Ph.D.  (pounds_aj at mercer.edu)
Professor of Chemistry and Computer Science
Mercer University,  Macon, GA 31207   (478) 301-5627
http://faculty.mercer.edu/pounds_aj

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