Use the following pseudocode for the bisection method to write MATLAB code to approximate the cube root 3 a 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) x 3 a 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

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Question: Use the following pseudocode for the bisection method to write MATLAB code to approximate the cube root 3 a of a given number a on

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

Use the following pseudocode for the bisection method to write MATLAB code

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

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