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Redo Problem 1 with a while-loop with the header function [piEstimate, nIterations] = myWhilePi(tol) which takes a user-specified tolerance (tol) and uses a while loop

Redo Problem 1 with a while-loop with the header

function [piEstimate, nIterations] = myWhilePi(tol)

which takes a user-specified tolerance (tol) and uses a while loop with the Archimedes algorithm to iterate until the estimate of pi converges to within tol.

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Problem 1: (5 Points) Write a function with the header: function [p|Estimate, piError] myForPi(n1terations) = which uses a for-loop and the Archimedes method below to estimate the value of pi (yoU rt us iisoh) I. Let A = 1 and N 6 2. Repeat the following nlterations times a. Replace N by 2N b. Replace A by [2- sqrt(4- AA2) A(1/2) C. Let L = NA/2 d. Let UL/sqrt(1 -AA2/2) e. Let p-Estimate = (U + L)/2 f. Let pError=(U-L)/2 3. Return

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