Use the Secant method to determine the root of the following function: f(x) = x-2 0...

 

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Use the Secant method to determine the root of the following function: f(x) = x-2 0 between the xo 1.5 and xı = 1 Repeat the iteration until your results is accurate within 5 digits. Hint: The algorithm used to the computation is: Algorithm: Secant Method Inputs: f(r) - The given function - The two initial approximations of the root The error tolerance The maximum number of iterations Output: An approximation of the exact solution or a message of failure. For k 1, 2, do • Compute f(r) and f(r-1). • Compute the next approximation: r =- /()-f(n-1) • Test for convergence or maximum mumber of iterations: If r -nlkcor if k> N, Stop. Use the Secant method to determine the root of the following function: f(x) = x-2 0 between the xo 1.5 and xı = 1 Repeat the iteration until your results is accurate within 5 digits. Hint: The algorithm used to the computation is: Algorithm: Secant Method Inputs: f(r) - The given function - The two initial approximations of the root The error tolerance The maximum number of iterations Output: An approximation of the exact solution or a message of failure. For k 1, 2, do • Compute f(r) and f(r-1). • Compute the next approximation: r =- /()-f(n-1) • Test for convergence or maximum mumber of iterations: If r -nlkcor if k> N, Stop.

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