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4 The height, S of a rocket in the first 6 seconds is given by: S ==5 = 5 X 10³ 6 In 100 dt - 180 100 - 4.2t a) Evaluate to In 100 dt using Simpsons rule with six intervals (100-4t b) Determine the height of the rocket S Question 5 The Force F, on a beam of length 5m is given by, F = 0 5 1 + e x Vx dx Where x is distance. i) Using an appropriate method find the value for F (M2). ii) Use another approximation method to find the value of E...Adjust the interval width of any appropriate method (M2) iii) Is it possible to improve on you approximation methods? What effects does this have? Compare and contrast the methods used. (D1)

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