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anonymous
 one year ago
Help please!!!
Using Simpson's rule Determine the upper bound on the error in the following integral. Open to see it because i cant write equations in the top part of the question
anonymous
 one year ago
Help please!!! Using Simpson's rule Determine the upper bound on the error in the following integral. Open to see it because i cant write equations in the top part of the question

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{1}^{3}(\sqrt[4]{X^2+1})\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This will be useful: https://en.wikipedia.org/wiki/Simpson%27s_rule#Error

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This means you'll have to find the upper bound of the fourth derivative of your given function. \[\begin{align*} f(x)&=(x^2+1)^{1/4}\\\\ f'(x)&=\frac{2x}{(x^2+1)^{3/4}}\\\\ f''(x)&=\frac{4x^23x+4}{2(x^2+1)^{7/4}}\\\\ f''''(x)&=\frac{12x^3+15x^212x6}{4(x^2+1)^{11/4}} \end{align*}\] (Check those derivatives, it's possible I made some mistake in the derivations)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Definitely some mistakes...

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Correction: See also : http://openstudy.com/study#/updates/55a1e417e4b05670bbb52311 where \(f^{iv}(x)\) is given.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0eh I'm too lazy to solve it bai :3 btw the asker isn't here

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmm same problem, that's convenient :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0xD ima help the guy with the salmon question
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