Compute p 2 (0 75) from the data in Prob 9 and Newtons divided difference formula (10) Data from problem 9 Calculate the Lagrange polynomial p 2 (x) for the 5S values f(0 25) 0 27633,f(0 5) 0 52050, f(1 0) 0 84270 and from p 2 (x) an approximation of f(0 75) ( 0 71116)

Question: Compute p 2 (0.75) from the data in Prob. 9 and Newtons divided difference formula (10). Data from problem 9 Calculate the Lagrange polynomial p

Compute p₂(0.75) from the data in Prob. 9 and Newton’s divided difference formula (10).

Data from problem 9

Calculate the Lagrange polynomial p₂(x) for the 5S-values f(0.25) = 0.27633,f(0.5) = 0.52050, f(1.0) = 0.84270 and from p₂(x) an approximation of f(0.75) (= 0.71116).

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