Given the function. g(t) = In (3+ cos(4t)) and the mesh t₁ = to + ik, where to 7T T determine the central finite difference for the first derivative of g with step size k = at mesh point i 20 At the same point, also calculate the exact first derivative g'(t₁). Calculate the absolute value of the error of the finite difference approximation at the point ti. 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 (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately multiplied by a factor of Select

Given the function. g(t) = In (3+ cos(4t)) and the mesh t₁ = to + ik, where to 7T T determine the central finite difference for the first derivative of g with step size k = at mesh point i 20 At the same point, also calculate the exact first derivative g'(t₁). Calculate the absolute value of the error of the finite difference approximation at the point ti. 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 (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately multiplied by a factor of Select

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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