(1) Apply the forward difference Formula to foo for the case where Xo =2₁ Use a step size of h=0.1 (iv) Calculate the error in the approximation in (a)(iii)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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a. Answer only  (iii) and (iv)

Question 4
Round off to five decimal place
In what follows, the Function of is given by Fod=3x+1
(a)(i) Use Taylor's Theorem to derive a general two-point
Forward difference Formular for approximating F'oco)
(ii) What is the creler of the truncation error For this formula?
Explain briefly what this means.
(11) Apply the forward difference Formula to fod for the
case where Xo =2₁ Use a step size of h=0.1
(iv) Calculate the error in the approximation in (a)(iii)
(b) Use the Remberg Intergration Technique, with initier !
Subinterval size h=0.5, to approximate the integral
So Foode
What is the order of the error in the Ramberg approximation
For the given interval ?
Transcribed Image Text:Question 4 Round off to five decimal place In what follows, the Function of is given by Fod=3x+1 (a)(i) Use Taylor's Theorem to derive a general two-point Forward difference Formular for approximating F'oco) (ii) What is the creler of the truncation error For this formula? Explain briefly what this means. (11) Apply the forward difference Formula to fod for the case where Xo =2₁ Use a step size of h=0.1 (iv) Calculate the error in the approximation in (a)(iii) (b) Use the Remberg Intergration Technique, with initier ! Subinterval size h=0.5, to approximate the integral So Foode What is the order of the error in the Ramberg approximation For the given interval ?
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