Problem 4. (8 points) for The Richardson's Extrapolation method for integration is: frastr = P2, 60, h)- 1(8.), 16. )-1(

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Problem 4 8 Points For The Richardson S Extrapolation Method For Integration Is Frastr P2 60 H 1 8 16 1 1 (30.44 KiB) Viewed 12 times

Problem 4. (8 points) for The Richardson's Extrapolation method for integration is: frastr = P2, 60, h)- 1(8.), 16. )-1(0) (1) s where I(h) stands for the approximation of trapezoidal rule with h = (b-a)n. from an n-segment application of (1) (3 points) The 2" term in the right hand of the above equation, i.e., [1(h.) - 1(),[<,/h.) - 1), approximates an error term, which of the following does it approximate (there could be more than one "Yes")? (The represents the average of the order derivative of f(x) in [a, b].) (ار b-a (a) 12 b-a 12 Chip) (b) b-a (c) 180 (d) 180 (2) (5 points) If, instead of using the trapezoidal rule, (h) now stands for the approximation of Starter from an n-segment application of Simpsons 1/3 rule with h - (bayin, Equation (1) will no longer hold. Please explain why.