Question: Use MATLAB. Newton's method is sometimes used to implement the built-in square root function on a computer, with the initial guess supplied by a lookup

Use MATLAB. Newton's method is sometimes used to implement the built-in square Use MATLAB.

Newton's method is sometimes used to implement the built-in square root function on a computer, with the initial guess supplied by a lookup table. (a)What is the Newton iteration for computing the square root of a positive number y (i.e., x - Ty for solving the equation f (x) = x2-y = 0, given y)? (10 points) (b) If we assume that the starting guess has an accuracy of 4 bits, how many iterations would be necessary to attain 24-bit accuracy? 53-bit accuracy? (10 points) Newton's method is sometimes used to implement the built-in square root function on a computer, with the initial guess supplied by a lookup table. (a)What is the Newton iteration for computing the square root of a positive number y (i.e., x - Ty for solving the equation f (x) = x2-y = 0, given y)? (10 points) (b) If we assume that the starting guess has an accuracy of 4 bits, how many iterations would be necessary to attain 24-bit accuracy? 53-bit accuracy? (10 points)

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