1. A function is given by f(x) = 6e-52. Now answer the following: (a) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the central difference method up to 6 significant figures. (b) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the forward difference method up to 6 significant figures. (c) Calculate the truncation error of f(x) at xo = 2 using h = 1, 0.1, 0.01, 0.0001 in the above men- tioned two methods.

1. A function is given by f(x) = 6e-52. Now answer the following: (a) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the central difference method up to 6 significant figures. (b) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the forward difference method up to 6 significant figures. (c) Calculate the truncation error of f(x) at xo = 2 using h = 1, 0.1, 0.01, 0.0001 in the above men- tioned two methods.

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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