Given the function y(x) = sin(4+ sin(2x)) and the mesh x₁ = xo + ik, where co ㅠ 2' ㅠ determine the central finite difference for the first derivative of y with step size k = 14 (c) Enter the absolute error at mesh point i = 4. At the same point, also calculate the exact first derivative y'(x). Calculate the absolute value of the error of the finite difference approximation at the point x₁. Work to at least 6 decimal places throughout and enter your answers to 2 decimal places. (a) Enter the finite difference approximation (b) Enter the exact derivative
Given the function y(x) = sin(4+ sin(2x)) and the mesh x₁ = xo + ik, where co ㅠ 2' ㅠ determine the central finite difference for the first derivative of y with step size k = 14 (c) Enter the absolute error at mesh point i = 4. At the same point, also calculate the exact first derivative y'(x). Calculate the absolute value of the error of the finite difference approximation at the point x₁. Work to at least 6 decimal places throughout and enter your answers to 2 decimal places. (a) Enter the finite difference approximation (b) Enter the exact derivative
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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