1- Consider the function f(x) = sin(x) + x²-3x on the interval [-2, 2] with h = 0.1. a. Use the forward, backward, and centered finite difference approximations for the first and second derivatives to graphically illustrate which approximation is most accurate. b. Use Richardson Extrapolatio in 3 levels D(3,3) and discuss the results compared to the section a.

1- Consider the function f(x) = sin(x) + x²-3x on the interval [-2, 2] with h = 0.1. a. Use the forward, backward, and centered finite difference approximations for the first and second derivatives to graphically illustrate which approximation is most accurate. b. Use Richardson Extrapolatio in 3 levels D(3,3) and discuss the results compared to the section a.

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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