Question

  
    Write a C++ program that uses the iteration process above to approximate the square root of a positive number a. The value of a will be entered from the console, as well as a tolerence ε. Iteration will continue until |x₁-x₀|<ε, when the program will terminate. The value of x₁ at that point will be declared the appropriate approximation. Output will be to a file that can be imported into SWP. Include the step of the process, e. g., 1,2,3,…, as well as the approximation at that step. Then in SWP, you will arrange the data into two columns, and prepare a final report. Your report will contain the entire text of the C++ program, the output of the program appropriately formatted, as well as your conclusions about the data. Use ε=10⁻⁸ and a=40+ the last two digits of your university X number. Due: Sunday, March 18.

it is iteration process above

Answer 1

Executable code

#include<iostream>

using namespace std;

double sqrt(double n, double e)

{

// left bound

double p = 0.0;

// right bound

double r = n;

double mid = 0.0;

while( r - p > e )

{

mid = p + ( r - p ) / 2.0;

if( mid * mid > n )

r = mid;

else

p = mid;

}

return mid;

}

int main()

{

cout<<"Enter the number : ";

double n;

cin>>n;

cout<<"Enter the tolerance :";

double e;

cin>>e;

double ans = sqrt(n, e);

cout<<"\nSquare Root :"<<ans;

return 0;

}

Sample out put

gcc version 4.6.3 Enter the number:26 Enter the tolerance:0.09001 Square Root :5.09902