MATLAB PLEASE EXAMPLE 4.1 Taylor SeriesApproximationof a PolynomialProblem Statement. Use zero-through fourth-order Taylorseries expansions to approximate the functionf(x) = -0.1x4 -0.15x³ -0.5x²-0.25x + 1.2from x; = 0 with h = 1. That is, predict the function's value atXi+1 = 1. Step 1Express the function in the Taylor format. The Taylor format is,h²f(xn+1) = f(xi) + f'(x₂) * h + ƒ¨(x;) * 27 + ƒ¨¨(x;) *=>term1/h^?=> term2/h^?=> term3/h^?hªfe=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=0h^2|x=0h^3|x=0

Start.Define a function f(x) using an anonymous function in MATLAB.Specify the point of expansion…

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

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

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