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Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 6 by calculating the third approximation of the right 0 of f(x) = x* - 6. Start with x, = 1. The third approximation of the fourth root of 6 determined by calculating the third approximation of the right 0 of f(x) = x* - 6, starting with x, = 1, is

Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 6 by calculating the third approximation of the right 0 of f(x) = x* - 6. Start with x, = 1. The third approximation of the fourth root of 6 determined by calculating the third approximation of the right 0 of f(x) = x* - 6, starting with x, = 1, is

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Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 6 by calculating the third approximation of the right 0 of f(x) = x* - 6. Start with x, = 1. 4 The third approximation of the fourth root of 6 determined by calculating the third approximation of the right 0 of f(x) = x* – 6, starting with x, = 1, is (Round to four decimal places.)
Transcribed Image Text:Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 6 by calculating the third approximation of the right 0 of f(x) = x* - 6. Start with x, = 1. 4 The third approximation of the fourth root of 6 determined by calculating the third approximation of the right 0 of f(x) = x* – 6, starting with x, = 1, is (Round to four decimal places.)
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