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How many iterations or repetitions are needed to find the correct result with an error & <0.001 Number of Iterations: Draw the flow diagram that can be used to describe the implementation of the iterative in any computer language, assuming that the user should provide the values of S, ro and ɛ. Problem 4.- We can use an iterative method to calculate the square root of any number. This method specifies that for any positive number S, its square root r, (r = √S) can be approximated by applying the following procedure. 1. Give an initial guess for the root, ro = Initial Guess (any positive integer) 2. The next approximation is obtained using the following iterative formula. Ti+1 =(+) where i = 0,...,n 3. Repeat step 2 until Ti+1 = or (Ti+1-Ti) &, &=0.001 Questions 1. Demonstrate that the above method can be used to calculate correctly the √987. This means S=987. Assume that the initial guess ro=10. show all your calculations and fill out the following table as you calculate every iteration. Table Calculations ro= 1= r2 = r3= r4= rs= 16 7= You can add r8= more rows if r9= necessary 10= 10

How many iterations or repetitions are needed to find the correct result with an error & <0.001 Number of Iterations: Draw the flow diagram that can be used to describe the implementation of the iterative in any computer language, assuming that the user should provide the values of S, ro and ɛ. Problem 4.- We can use an iterative method to calculate the square root of any number. This method specifies that for any positive number S, its square root r, (r = √S) can be approximated by applying the following procedure. 1. Give an initial guess for the root, ro = Initial Guess (any positive integer) 2. The next approximation is obtained using the following iterative formula. Ti+1 =(+) where i = 0,...,n 3. Repeat step 2 until Ti+1 = or (Ti+1-Ti) &, &=0.001 Questions 1. Demonstrate that the above method can be used to calculate correctly the √987. This means S=987. Assume that the initial guess ro=10. show all your calculations and fill out the following table as you calculate every iteration. Table Calculations ro= 1= r2 = r3= r4= rs= 16 7= You can add r8= more rows if r9= necessary 10= 10

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Create the flow diagram.
How many iterations or repetitions are needed to find the correct result with an error & <0.001 Number of Iterations: Draw the flow diagram that can be used to describe the implementation of the iterative in any computer language, assuming that the user should provide the values of S, ro and ɛ.
Transcribed Image Text:How many iterations or repetitions are needed to find the correct result with an error & <0.001 Number of Iterations: Draw the flow diagram that can be used to describe the implementation of the iterative in any computer language, assuming that the user should provide the values of S, ro and ɛ.
Problem 4.- We can use an iterative method to calculate the square root of any number. This method specifies that for any positive number S, its square root r, (r = √S) can be approximated by applying the following procedure. 1. Give an initial guess for the root, ro = Initial Guess (any positive integer) 2. The next approximation is obtained using the following iterative formula. Ti+1 =(+) where i = 0,...,n 3. Repeat step 2 until Ti+1 = or (Ti+1-Ti) &, &=0.001 Questions 1. Demonstrate that the above method can be used to calculate correctly the √987. This means S=987. Assume that the initial guess ro=10. show all your calculations and fill out the following table as you calculate every iteration. Table Calculations ro= 1= r2 = r3= r4= rs= 16 7= You can add r8= more rows if r9= necessary 10= 10
Transcribed Image Text:Problem 4.- We can use an iterative method to calculate the square root of any number. This method specifies that for any positive number S, its square root r, (r = √S) can be approximated by applying the following procedure. 1. Give an initial guess for the root, ro = Initial Guess (any positive integer) 2. The next approximation is obtained using the following iterative formula. Ti+1 =(+) where i = 0,...,n 3. Repeat step 2 until Ti+1 = or (Ti+1-Ti) &, &=0.001 Questions 1. Demonstrate that the above method can be used to calculate correctly the √987. This means S=987. Assume that the initial guess ro=10. show all your calculations and fill out the following table as you calculate every iteration. Table Calculations ro= 1= r2 = r3= r4= rs= 16 7= You can add r8= more rows if r9= necessary 10= 10
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