Question: numerical Suppose the following data points are generated by a smooth function f(x): X 0 0.125 0.25 0.375 0.5 0.625 0.75 0.875 f(x) 0.6931 0.6941

numerical

Suppose the following data points are generated by a smooth function f(x): X 0 0.125 0.25 0.375 0.5 0.625 0.75 0.875 f(x) 0.6931 0.6941 0.7009 0.7192 0.7538 0.8083 0.8845 0.9820 1.0986 Using Romberg integration, find an O(") approximation of of(x) dx. ( le compute Ras) O 0.8036 O 1.5112 O 3.3930 O 2.7552 The following data give approximations to the integral M = [ x , dx N1(h) = 0.236764, N. (= 0.237941. Assume that M = Ni(h) +kjhok,hit.. Then N2 (h) = 0.234881 0.232025 O 0.234852

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