Matlab function, MyRegulaFalsi, that takes in a function handle f, interval lower bound a, interval upper...

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Matlab function, MyRegulaFalsi, that takes in a function handle f, interval lower bound a, interval upper bound b, and a tolerance tol. This function should perform the regula falsi iteration until if (x₂)| < tol and return all iterates x, as an array x,. (a) Use your regula falsi function to find an approximate root for f (x) = (x-3)³ sin(x) + 3.5 with interval [1, 3] and a tolerance 105. Print a table of the iterates xi and their corresponding function values f (xi). (b) Also use your function on the interval [1,2] with the same tolerance 10-5. Print a table of the iterates xi and their corresponding function values f (x;). Do the results change significantly? Why or why not? Matlab function, MyRegulaFalsi, that takes in a function handle f, interval lower bound a, interval upper bound b, and a tolerance tol. This function should perform the regula falsi iteration until if (x₂)| < tol and return all iterates x, as an array x,. (a) Use your regula falsi function to find an approximate root for f (x) = (x-3)³ sin(x) + 3.5 with interval [1, 3] and a tolerance 105. Print a table of the iterates xi and their corresponding function values f (xi). (b) Also use your function on the interval [1,2] with the same tolerance 10-5. Print a table of the iterates xi and their corresponding function values f (x;). Do the results change significantly? Why or why not?

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Heres a MATLAB implementation of the MyRegulaFalsi function function xs MyRegulaFalsif a b tol xs if fa fb 0 errorFunction has the same sign at both interval bounds a and b end while true xn a fb b fa ... View the full answer