Use the following pseudocode for the bisection method to write MATLAB code to approximate the cube root 3a of a given number a on an appropriate interval with accuracy within 10^-8. Use at most 100 iterations. Explain steps by commenting on them. Use f(x) =x³a. Choose a = 7

Algorithm : Bisection Method Input: f(x) 2, interval [0, 2], tolerance 10-3, maximum number of iterations 50 Output: an approximate root of f on [0, 2 within 10-3 or a message of failure set a - 0 and b- 2; :cold = a; for i - 1 to 50 do set x = (a + b)/2; if Ir - rold