Write a function with the header:

function [piEstimate, piError] = myForPi(nIterations)

which uses a for-loop and the Archimedes method below to estimate the value of pi (you must use this approach). 1. Let A = 1 and N = 6 2. Repeat the following nIterations times a. Replace N by 2N b. Replace A by [2 sqrt(4 A^2) ]^(1/2) c. Let L = NA/2 d. Let U = L/sqrt(1 A^2/2) e. Let piEstimate = (U + L)/2 f. Let piError = (U-L)/2 3. Return

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