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This assignment will give you practice at numerical integration principles and techniques as well as numerically solving coupled systems of differential equations and higher order differential equations. There are four questions and you are required to attempt all four questions. The assignment is out of a total of 65 marks and is worth 20% of your total assessment for this unit.
1. [10 marks] Derive (i.e. prove) Boole’s rule by making use of a Lagrange polynomial of order 4. You may use similar reasoning as was outlined in Week 6 for deriving Simpson’s rule.
2. Mathews and Fink show how Simpson’s rule can be used to approximate the solution of an integral equation (Problem 7, page 377). The procedure is outlined as follows: Let the integral equation be given as v (x) = x2 + 0.1 1 R 0x2 + tv (t)dt. This could, forexample, be the expression for the velocity of some object at position x. Note here that t is just a dummy variable used for integration purposes. To solve this integral equation via Simpson’s rule with h = 0.5, we let t0 = 0,t1 = 0.5 and t1 = 1. We then have

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health informatics health research project

i actually wrote this research already but my professor failed me.i want u to review my paper and pull out all mistakes as my professor mentioned in marks feed back paper.please edit my paper.add more things or delete things.its up to u to make it quality paper.i uploaded my paper i failed,marks fee ...

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Human resource Information System

1st component of this assignment have been done by MAH_230915_56289_3_104637 We need help on 2nd components (MS Access). URGENTLY! And we want it to be finished in 10hours. Please ...

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Management

Assignment Using your own organisation or a local organisation that you know well, identify a strategic operations issue or problem that needs to be addressed. This problem should be related to one of the topics that are covered in this subject. Write a report which addresses the strategic operation ...

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Economics for business

In the attachments everything is mentioned but plz note that u have to written a Report not an essay (In attachments "An Essay" it is said to be written ). Kindly provide me Quality Report means good assignment. ...

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