Question

Estimate the minimum number of subintervals needed to approximate the integral integral subscript 0 superscript 4 open parentheses 7 x squared minus 4 x close parentheses d x with an error of magnitude less than 10-4 using Simpson's Rule. Error Estimates in the Simpson's Rule: If f(4) is continuous and M is any upper bound for the values of |f(4)| on [a, b], then the error ES in the Simpson's Rule approximation of the integral of f from a to b for n steps satisfies the inequality open vertical bar E subscript S close vertical bar less or equal than fraction numerator M open parentheses b minus a close parentheses to the power of 5 over denominator 180 n to the power of 4 end fraction.

Answer 1