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…

Answer the following questions: (a) To what order accuracy in Ax does this finite-difference scheme approximate f'(x)? 1 -(ƒ(x + 4^x) − f (x − 4^x)) 8Ax (b) Approximately how much more accurate is the following scheme than the scheme in (a)? 1 4Ax −(ƒ(x+2^x) − f (x − 2^x)) (c) Suppose you wish to increase the accuracy of your finite-difference differentiation scheme. Can you obtain arbitrarily small error by decreasing the step size Ax? Why or why not?

Answer the following questions: (a) To what order accuracy in Ax does this finite-difference scheme approximate f'(x)? 1 -(ƒ(x + 4^x) − f (x − 4^x)) 8Ax (b) Approximately how much more accurate is the following scheme than the scheme in (a)? 1 4Ax −(ƒ(x+2^x) − f (x − 2^x)) (c) Suppose you wish to increase the accuracy of your finite-difference differentiation scheme. Can you obtain arbitrarily small error by decreasing the step size Ax? Why or why not?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section5.3: Graphs Of Polynomial Functions

Problem 2TI: Use the graph of the function of degree 5 in Figure 10 to identify the zeros of the function and...

See similar textbooks