The limit of accuracy on computers is limited by the computer round-off error. If we assume our approximation to first order derivatives is first order accurate, and the computer round off error is ɛ=10-16, estimate what the error of a discrete derivative approximation df/dx is when Ax = 10-5. Give your answer as the power of 10; for example if the result is 102 your answer should be 2, if the result is 103 then your answer should be -3. Give your answer to the nearest integer.

The limit of accuracy on computers is limited by the computer round-off error. If we assume our approximation to first order derivatives is first order accurate, and the computer round off error is ɛ=10-16, estimate what the error of a discrete derivative approximation df/dx is when Ax = 10-5. Give your answer as the power of 10; for example if the result is 102 your answer should be 2, if the result is 103 then your answer should be -3. Give your answer to the nearest integer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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