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Write a function that uses the Newton-Raphson method to calculate the root and number of iterations to obtain the root. Your function should accept the function f, initial guesses x, and X-1, and the precision as inputs. function [root, iter] =newraph(f,df,xi, precision)

Write a function that uses the Newton-Raphson method to calculate the root and number of iterations to obtain the root. Your function should accept the function f, initial guesses x, and X-1, and the precision as inputs. function [root, iter] =newraph(f,df,xi, precision)

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
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please use matlab

 

You are designing a spherical tank (see figure below) of radius R=3m, to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as V = nh2 3R-h 3 Where h is the depth of the water and V is the volume of water. A. Write a function that uses the Newton-Raphson method to calculate the root and number of iterations to obtain the root. Your function should accept the function f, initial guesses x, and X+-1, and the precision as inputs. function [root, iter] = newraph(f,df,xi, precision) B. Write an m-file that uses the function from part A to determine the depth that the tank must be filled to so that it holds 30m³ of water. Prompt the user for the initial guess of xi. Use a precision of 1e-4. Your m-file should plot the function f and derivative function df. Also, mark the roots with a blue upward triangle.
Transcribed Image Text:You are designing a spherical tank (see figure below) of radius R=3m, to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as V = nh2 3R-h 3 Where h is the depth of the water and V is the volume of water. A. Write a function that uses the Newton-Raphson method to calculate the root and number of iterations to obtain the root. Your function should accept the function f, initial guesses x, and X+-1, and the precision as inputs. function [root, iter] = newraph(f,df,xi, precision) B. Write an m-file that uses the function from part A to determine the depth that the tank must be filled to so that it holds 30m³ of water. Prompt the user for the initial guess of xi. Use a precision of 1e-4. Your m-file should plot the function f and derivative function df. Also, mark the roots with a blue upward triangle.
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