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A certain function is differentiated numerically. Suppose we known that for this class of functions, the error is O(h²) as h → 0, where h is the grid spacing. When the grid spacing is halved, the error is usually expected to decrease by a factor of Number

A certain function is differentiated numerically. Suppose we known that for this class of functions, the error is O(h²) as h → 0, where h is the grid spacing. When the grid spacing is halved, the error is usually expected to decrease by a factor of Number

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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A certain function is differentiated numerically. Suppose we known that for this class of functions, the error is O(h²) as h → 0, where h is the grid spacing. When the grid spacing is halved, the error is usually expected to decrease by a factor of Number
Transcribed Image Text:A certain function is differentiated numerically. Suppose we known that for this class of functions, the error is O(h²) as h → 0, where h is the grid spacing. When the grid spacing is halved, the error is usually expected to decrease by a factor of Number
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