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Given the function 9(e)%3sin(2- cos(4t) and the mesh t = to + ik, where to determine the backward finite difference for the first derivative of g with step size k 28 at mesh point i-1 At the same point, also calculate the exact first derivative g'(t,). Calculate the absolute value of the error of the finite difference approximation at the point t, Work to at least 6 decimal places throughout and enter your answers to 2 decimal places (a) Enter the finite difference approximation 0.23 (b) Enter the exact derivative 0.09 (c) Enter the absolute error -0.32 (d) if we were to divide the step size by 10, the error will be approximately multiplied by a factor of

Given the function 9(e)%3sin(2- cos(4t) and the mesh t = to + ik, where to determine the backward finite difference for the first derivative of g with step size k 28 at mesh point i-1 At the same point, also calculate the exact first derivative g'(t,). Calculate the absolute value of the error of the finite difference approximation at the point t, Work to at least 6 decimal places throughout and enter your answers to 2 decimal places (a) Enter the finite difference approximation 0.23 (b) Enter the exact derivative 0.09 (c) Enter the absolute error -0.32 (d) if we were to divide the step size by 10, the error will be approximately multiplied by a factor of

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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Question 4. Given the function 9(t) = sin(2 - cos(4t)) and the mesh t, = to + ik, where to determine the backward finite difference for the first derivative of g with step size k= at mesh point i=1 28 At the same point, also calculate the exact first derivative g'(t.). Calculate the absolute value of the error of the finite difference approximation at the point t Work to at least 6 decimal places throughout and enter your answers to 2 decimal places (a) Enter the finite difference approximation -0.23 (b) Enter the exact derivative 0.09 (c) Enter the absolute error -0.32 (d) If we were to divide the step size by 10, the error will be approximately multiplied by a factor of 10
Transcribed Image Text:Question 4. Given the function 9(t) = sin(2 - cos(4t)) and the mesh t, = to + ik, where to determine the backward finite difference for the first derivative of g with step size k= at mesh point i=1 28 At the same point, also calculate the exact first derivative g'(t.). Calculate the absolute value of the error of the finite difference approximation at the point t Work to at least 6 decimal places throughout and enter your answers to 2 decimal places (a) Enter the finite difference approximation -0.23 (b) Enter the exact derivative 0.09 (c) Enter the absolute error -0.32 (d) If we were to divide the step size by 10, the error will be approximately multiplied by a factor of 10
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