Question: Simpson's rule with N intervals of equal width h is used to estimate the integral over [a, b] of a function f which is

Simpson's rule with N intervals of equal width h is used to

Simpson's rule with N intervals of equal width h is used to estimate the integral over [a, b] of a function f which is four times continuously differentiable. The error for Simpson's rule is EN ba f(4) (2) h4 where z is some point in [a, b]. 180 If EN = 0.0040, then you would expect the error EM with M ===== = 2N intervals to be 2.2E-16 0.00025 0.00050 0.0020 0.00100

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