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From the table below a. From the table below, nd the interpolated value of f(2.2) to 3 decimal places using; 1. The Gauss forward difference

From the table below

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a. From the table below, nd the interpolated value of f(2.2) to 3 decimal places using; 1. The Gauss forward difference formula. 5 marks ii. The Gauss backward difference formula 5marks iii. Comment on your results in i. and ii. 3 IIIII'kS b. The equation x3 - 3x - 4 = D is ofthe form f(:r) = Cl where fa) 0. Thus, there is a solution to the equation between 1 and 3. Taking x = 2, use the Newton-Raphson method to nd a better approximation to the root to 3 decimal places. 4.5 marks

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