One numerical method for calculating the cubic root of a number √3 P is in iterations. The process starts by choosing a value x1 as a first estimate of the solution. Using this value, a second more accurate value x2 can be calculated with x2 = (P/x 2 1 + 2x1) /3 , which is then used for calcuating a third, still more accurate value x3, and so on. The general equation for calcuating the value of xi+1 from the value of xi is the xi+1 = P/x2 i + 2xi /3. Write a MATLAB program that calculates the cubic root of a number. In the program use x1 = P for the first estimate of the solution. Then, by using the general equation in a loop, calculate new, more accurate values. Stop the looping when the estimated relative error E defined by E = xi+1−xi xi is smaller than 0.00001. Use the program to calculate: (a) √3 100 (b) √3 53701 (c) √3 19.35