Given f(x) = e x , for x=0(0.1)0.5 correct to 4 dp. (i) Make a difference table and interpolate f (.175) using Newton’s forward Difference formula (ii) Find the actual value of e x for x=0.175.Find the error in both the results. (iii) What discretization size should be use if the entries are given to 6 dp?

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Given f(x) = e x , for x=0(0.1)0.5 correct to 4 dp.
(i) Make a difference table and interpolate f (.175) using Newton’s forward
Difference formula
(ii) Find the actual value of e x for x=0.175.Find the error in both the results.
(iii) What discretization size should be use if the entries are given to 6 dp?

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