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(c) (ii) Use Hermites interpolation based on divided differences to approximate f(0.25) for the data X 0.1 0.2 Let y = x 2x +

 

(c) (ii) Use Hermites interpolation based on divided differences to approximate f(0.25) for the data X 0.1 0.2 Let y = x 2x + 0.5. Find one root of the equation that lies between 0.5 and 0.75 [6 marks] 0.3 0.4 f(x) -0.621 -0.284 +0.007 +0.284 f'(x) 3.585 3.140 2.667 2.165

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