Question: Find A, B, C, D, E such that the rule Af(a 2h) + Bf(a h) + Cf(a) + Df(a + h) + Ef(a + 2h)

Find A, B, C, D, E such that the rule Af(a 2h) + Bf(a h) + Cf(a) + Df(a + h) + Ef(a + 2h) approximates f 000(a) with the error O(h p ) for the largest order of convergence p. What is this p equal to? What is the order of convergence after one step of extrapolation?

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