One numerical method for calculating the cubic root of a number, VP is in iterations.The

Chapter 6, Problem 30

(choose chapter or problem)

One numerical method for calculating the cubic root of a number, VP is in iterations.The process starts by choosing a value x 1 as a first estimate of the solution.Using this value, a second, more accurate value x2 can be calculated withx2 = (Pixr + 2x1)/3 , which is then used for calculating a third, still more accuratevalue x3, and so on. The general equation for calculating the value of xi+ 1from the value of xi is xi+ 1 = (Pix'f + 2xi)/3 . Write a MATLAB program thatcalculates the cubic root of a number. In the program use x 1 = P for the first estimateof the solution. Then, by using the general equation in a loop, calculate new,more accurate values. Stop the looping when the estimated relative errorE definedbyE = lxi+ i-xil is smaller than 0.00001. Use the program to calculate:(a) V10o (b) 3Js31o1 (c) V19.35