Question: Q4. This question has two parts. Use five decimal digits with rounding. a) [4 marks] Consider three points xi - h, Xi, Xi + h

Q4. This question has two parts. Use five decimal digits with rounding. a) [4 marks] Consider three points xi - h, Xi, Xi + h and use Taylor series about x; to obtain the centered-difference formula. b) [4 marks] Use the most accurate three-point formula (forward, backward, or catered-difference) to determine each missing entry in the following tables. Do NOT use MATLAB function. Show your work for full marks. f ( x ) f' ( x ) 8.1 16.94410 8.3 17.56492 8.5 18. 19056 8.7 18.82091

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