Program in C on nction is defined as follows:X = X-1f(x)f'(x)k = 1,2,...Start with the initial approximation x = 3.(1)If f(x), f (x), and f(x) are continuous near the root r, and f (r) = 0, then if theinitial approximation is chosen close enough to r, the sequence {x} defined in (1)will converge to r.Test your Newton-Raphson program on the polynomialp(x) = x² - 6x +8x³+8x² + 4x − 4 Develop a program that implements the POLYNOMIAL ADT using the LIST ADT.The POLYNOMIAL ADT is used to represent polynomials and the following operationsdefined on polynomials:1. Evaluate(p(x), =). Evaluates the polynomial p(x) at the point x = z and returnsthe result.2. Add(P₁(x), P₂(x)). Returns the polynomial that results when p₁(x) is addedto P₂ (x).3. Subtract(p, (x), p₂(x)). Returns the polynomial that results when p, (x) issubtracted from p₂(x).4. Multiply(p₁(x), p₂(x)). Returns the polynomial that results when p₁(x) ismultiplied by p₂(x).5. Differentiate( p(x)). Returns the polynomial that results when p(x) isdifferentiated.Use your POLYNOMIAL ADT implementation to find a real root of a givenpolynomial using the Newton-Raphson method. For a given function f(x), the Newton-Raphson iteration function is defined as follows:X = X-1f(xx-1)f'(xx-1)'k = 1,2,...(1)If f(x), f'(x), and f(x) are continuous near the root r, and f'(r) = 0, then if theinitial approximation to is chosen close enough to r, the sequence {x} defined in (1)

The polynomial ADT implementation can be used to find a real root of a given polynomial using the…

Develop a program that implements the POLYNOMIAL ADT using the LIST ADT. e POLYNOMIAL ADT is used to represent polynomials and the following operations fined on polynomials: 1. Evaluate(p(x), =). Evaluates the polynomial p(x) at the point x = z and returns the result. 2. Add(P₁(x), P₂(x)). Returns the polynomial that results when p, (x) is added to P₂(x). 3. Subtract(p, (x), p₂(x)). Returns the polynomial that results when p, (x) is subtracted from p₂(x). 4. Multiply(p, (x), p₂(x)). Returns the polynomial that results when p₁(x) is multiplied by n. (x)

Develop a program that implements the POLYNOMIAL ADT using the LIST ADT. e POLYNOMIAL ADT is used to represent polynomials and the following operations fined on polynomials: 1. Evaluate(p(x), =). Evaluates the polynomial p(x) at the point x = z and returns the result. 2. Add(P₁(x), P₂(x)). Returns the polynomial that results when p, (x) is added to P₂(x). 3. Subtract(p, (x), p₂(x)). Returns the polynomial that results when p, (x) is subtracted from p₂(x). 4. Multiply(p, (x), p₂(x)). Returns the polynomial that results when p₁(x) is multiplied by n. (x)

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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