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8. Let f (x) be a four times continuously differentiable function on an interval a, b], and suppose n is a natural number. Find numbers
8. Let f (x) be a four times continuously differentiable function on an interval a, b], and suppose n is a natural number. Find numbers a and b so that Simpn (f, a, b) = aTrapn (f, a, b) + bTrapzn(f, a, b), and use this information to comment on the quality of Simpn (f, a, b) as an approximation of So f ( x ) dx
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