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<div class="moz-cite-prefix">On 10/20/13 11:03, Bryan B Danley
wrote:<br>
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<div>How would you use Simpsons rule on that last one with those
bounds? You would need to divide by zero. </div>
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<div>Bryan</div>
<div><br>
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<br>
The argument of the integral can be rearranged with a little
manipulation...<br>
<br>
<img style="vertical-align: middle"
src="cid:part1.04040308.09000804@mercer.edu" alt="$\int_0^1 t^{-2}
\left[ \frac{1}{1+\left(\frac{1}{t}\right)^4} \right] dt =
\int_0^1 \frac{t^2}{1+t^4} dt$"><br>
<br>
<br>
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cite="mid:C40B2F181831EF44A88CD735258278030266A720CF@MERCERMAIL.MercerU.local"
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On Oct 20, 2013, at 10:17 AM, "Andrew J. Pounds" <<a
moz-do-not-send="true" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>>
wrote:<br>
<br>
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<div class="moz-cite-prefix">On 10/19/13 13:48, Levi M Mitze
wrote:<br>
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<div name="divtagdefaultwrapper" id="divtagdefaultwrapper"
style="font-family: Calibri,Arial,Helvetica,sans-serif;
font-size: 12pt; color: #000000; margin: 0">
Hello again, Dr. Pounds.
<div><br>
</div>
<div>I'm having some difficulty understanding what to do
for problem 3 from section 4.9. I figured I was supposed
to follow a procedure similar to all the examples in the
section, but there doesn't seem to be a way to get the
function (after inverting the variable [t = 1/x]) into a
form such that the numerator is a function that can be
used to form a Taylor polynomial. Am I just supposed to
perform the inversion and then approximate the integral
using Composite Simpson's (and not worry about Taylor
polynomials)? What about part c and problem 4?</div>
<div><br>
</div>
<div>Sorry for all the questions,</div>
<div><br>
</div>
<div>Levi</div>
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<font face="serif">No Taylor polynomial needed here. Look at
the paragraph around around and including equation 4.47 in
your text. If I want to integrate<br>
<br>
<tblatex-8.png><br>
<br>
I can use the substitution provided and convert it to the
integral<br>
<br>
<tblatex-9.png><br>
<br>
which is easily integrated with Simpson's rule. Hopefully
this puts you on track for the others. If not let me know.<br>
<br>
<br>
<br>
</font><br>
<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D. (<a moz-do-not-send="true" class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
<a moz-do-not-send="true" class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
</pre>
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<br>
<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D. (<a class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
<a class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
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