In what follows, the Function f is given by Fox) = 3x+1 (a)i Use Taylor's Theorem to derive a general two-point Forward difference Formular for approximating F'Coco) (ii) What is the creler of the truncation error For this formulas Explain briefly what this means. (iii) 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) (i) (b) Use the Remberg Intergration Technique, with initial Subinterval size h=0.5, to approximate the integral So Foods What is the order of the error in the Ramberg approximation For the given interval ?
In what follows, the Function f is given by Fox) = 3x+1 (a)i Use Taylor's Theorem to derive a general two-point Forward difference Formular for approximating F'Coco) (ii) What is the creler of the truncation error For this formulas Explain briefly what this means. (iii) 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) (i) (b) Use the Remberg Intergration Technique, with initial Subinterval size h=0.5, to approximate the integral So Foods What is the order of the error in the Ramberg approximation For the given interval ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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