Answer the following questions:(a) To what order accuracy in Ax does this finite-difference scheme approximate f'(x)?18Ax(b) Approximately how much more accurate is the following scheme than the scheme in(a)?·(ƒ(x + 4^x) − ƒ (x − 4^x))14Ax-(f(x+2^x) − f (x − 2^x))(c) Suppose you wish to increase the accuracy of your finite-difference differentiationscheme. Can you obtain arbitrarily small error by decreasing the step size Ar? Whyor why not?

By Taylor series expansion, we have fx+h = fx+hf'x+h22!f"x+h33!f'''x+ ....... We have to find the…

Answered: Answer the following questions: (a) To…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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