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Hi, please make the asnser cleaer. i can not read it if the line is hard to see or if it is untid . i have problem with that. thank you so much.

it is numerical analisys . plase make clear with nice line.

it s numerical analysis cours. please make your answer clear and write it slowly. thank u so much

7 5. The centered divided difference approximation for f'() in le+ ) -- h 2h In the analysis of the source of error asociated with the calculation of this divided difference, we saw that there were two contributions to the error: that is, I Erora - Erme+ ERUNDOPP: EyOTO) M 3! where - + In this question we will assume that f(t) = et, implying that ff -"=".... Furthermore, we will also me that all evaluations off are equal. (a) Use this information and explain how to write Erora.(h) in the simpler form: () Find the optimal value for that will minimize this simpler form of Eroth) (c) Substitute thuis optimal value of into the simpler expresion for Prorach) above, and simplify completely to find the minimum valoe for Broru(). 5. The centered divided difference approximation for !'(o) is 1 (+ 1- 1 - A) 24 In the analysis of the source of error asociated with the calculation of this divided difference, we saw that there were two contributions to the error that is, Erora Erntne + EMUNDOFT Erorath) + 3! = rm2) + 10,35) for wbere M for y (-1,2+1), and

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