Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
Step 1 Express the function in the Taylor format. The Taylor format is, ƒ(x+1) = f(x) + f(x) • h+ ƒ^(x) + E + ƒ˜¨(x) = ² + ƒ˜¨¯( x) • H fe=0; % Enter the original equation here to evaluate f(e). A good program is like a puzzle is assembled. So its a good idea to assemble the derivatives. Let us call these terms term1, term2, term3 etc... => term0/1^? f(0) =? f(0) =? => term1/h^? f(0) =? => term2/h^? f(0) =? => term3/h^? f(0) =? => term4/h^? f(x) =??; f(x) = ??; f"(x) =??; f(x) =??; f(x) = ??; % write the expressions for terms in terms of xe. That leaves you free to % assign any xe at step e. terme=e* (h^e.)/factorial(e) % Assign f(x) term1-0* (h^1)/factorial (1) % Assign (1/1!)*f'(x) term2=0*(h^2)/factorial(2) *h^1|x=0 h^2|x=0 % Assign (1/2!) *f*'(x) term3=0*(h^3)/factorial (3) % Assign (1/3!)*f***(x) *h^3|x=0 term4=8* (h^4)/factorial (4) % Assign (1/4!) *f**** (x)*h^4|x=0

Step 1 Express the function in the Taylor format. The Taylor format is, ƒ(x+1) = f(x) + f(x) • h+ ƒ^(x) + E + ƒ˜¨(x) = ² + ƒ˜¨¯( x) • H fe=0; % Enter the original equation here to evaluate f(e). A good program is like a puzzle is assembled. So its a good idea to assemble the derivatives. Let us call these terms term1, term2, term3 etc... => term0/1^? f(0) =? f(0) =? => term1/h^? f(0) =? => term2/h^? f(0) =? => term3/h^? f(0) =? => term4/h^? f(x) =??; f(x) = ??; f"(x) =??; f(x) =??; f(x) = ??; % write the expressions for terms in terms of xe. That leaves you free to % assign any xe at step e. terme=e* (h^e.)/factorial(e) % Assign f(x) term1-0* (h^1)/factorial (1) % Assign (1/1!)*f'(x) term2=0*(h^2)/factorial(2) *h^1|x=0 h^2|x=0 % Assign (1/2!) *f*'(x) term3=0*(h^3)/factorial (3) % Assign (1/3!)*f***(x) *h^3|x=0 term4=8* (h^4)/factorial (4) % Assign (1/4!) *f**** (x)*h^4|x=0

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
See similar textbooks
icon
Related questions
Question

MATLAB PLEASE

EXAMPLE 4.1 Taylor Series Approximation of a Polynomial Problem Statement. Use zero-through fourth-order Taylor series expansions to approximate the function f(x) = -0.1x4 -0.15x³ -0.5x²-0.25x + 1.2 from x; = 0 with h = 1. That is, predict the function's value at Xi+1 = 1.
Transcribed Image Text:EXAMPLE 4.1 Taylor Series Approximation of a Polynomial Problem Statement. Use zero-through fourth-order Taylor series expansions to approximate the function f(x) = -0.1x4 -0.15x³ -0.5x²-0.25x + 1.2 from x; = 0 with h = 1. That is, predict the function's value at Xi+1 = 1.
Step 1 Express the function in the Taylor format. The Taylor format is, h² f(xn+1) = f(xi) + f'(x₂) * h + ƒ¨(x;) * 27 + ƒ¨¨(x;) * =>term1/h^? => term2/h^? => term3/h^? hª fe=0; % Enter the original equation here to evaluate f (0). A good program is like a puzzle is assembled. So its a good idea to assemble the derivatives. Let us call these terms term 1, term2, term3 etc... f(x)=??; => term0/1^? f(0) =? f'(0) =? f'(x) = ??; f"(x) =??; f"(0) =? f""(x) =??; f(0) = ? f(x) = ??; f(0) = ? =>term4/h^? + f(x₂) * ! % write the expressions for terms in terms of xe. That leaves you free to % assign any xe at step 0. terme=0* (h^0.)/factorial (0) % Assign f(x) term1=0* (h^1)/factorial (1) % Assign (1/1!) *f'(x) term2=0* (h^2)/factorial(2) % Assign (1/2!) ³f''(x) term3=0* (h^3)/factorial (3) % Assign (1/3!) *f¹''(x) term4=0* (h^4)/factorial (4) % Assign (1/4!)³f¹'*'(x)*h^4|x=0 *h^1|x=0 h^2|x=0 h^3|x=0
Transcribed Image Text:Step 1 Express the function in the Taylor format. The Taylor format is, h² f(xn+1) = f(xi) + f'(x₂) * h + ƒ¨(x;) * 27 + ƒ¨¨(x;) * =>term1/h^? => term2/h^? => term3/h^? hª fe=0; % Enter the original equation here to evaluate f (0). A good program is like a puzzle is assembled. So its a good idea to assemble the derivatives. Let us call these terms term 1, term2, term3 etc... f(x)=??; => term0/1^? f(0) =? f'(0) =? f'(x) = ??; f"(x) =??; f"(0) =? f""(x) =??; f(0) = ? f(x) = ??; f(0) = ? =>term4/h^? + f(x₂) * ! % write the expressions for terms in terms of xe. That leaves you free to % assign any xe at step 0. terme=0* (h^0.)/factorial (0) % Assign f(x) term1=0* (h^1)/factorial (1) % Assign (1/1!) *f'(x) term2=0* (h^2)/factorial(2) % Assign (1/2!) ³f''(x) term3=0* (h^3)/factorial (3) % Assign (1/3!) *f¹''(x) term4=0* (h^4)/factorial (4) % Assign (1/4!)³f¹'*'(x)*h^4|x=0 *h^1|x=0 h^2|x=0 h^3|x=0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Fundamentals of Boolean Algebra and Digital Logics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS