2.1 Heron found a way to determine square root of a number in a few iterations....

 

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2.1 Heron found a way to determine square root of a number in a few iterations. Prove that the following formula gives the next iterate for finding cubic root of a number A, if Newton-Raphsons method is used: x +1 A 2x + 2 x 3 Write a MATLAB program that implements this method and show in a table first six iterations and how the error evolves for a) A = 50, x0 = 4 and b) A = 15, x = 2 The table should have the format shown below. Comment the results. Number of iteration n Guess Xn 0 1 2 Error En+1/En 2.1 Heron found a way to determine square root of a number in a few iterations. Prove that the following formula gives the next iterate for finding cubic root of a number A, if Newton-Raphsons method is used: x +1 A 2x + 2 x 3 Write a MATLAB program that implements this method and show in a table first six iterations and how the error evolves for a) A = 50, x0 = 4 and b) A = 15, x = 2 The table should have the format shown below. Comment the results. Number of iteration n Guess Xn 0 1 2 Error En+1/En

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Function to calculate the next iterate using Newtons method for cubic root nextiterate x 2x Ax2 3 In... View the full answer