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Suppose the tangent line to the curve y = f(x) at the point (2,4) has the equation y = 4x - 4. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial %3D approximation is 1 = 2, find the second approximation r2. Enter your answer as an integer or a decimal rounded to four decimal places if it has not terminated by then.

Suppose the tangent line to the curve y = f(x) at the point (2,4) has the equation y = 4x - 4. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial %3D approximation is 1 = 2, find the second approximation r2. Enter your answer as an integer or a decimal rounded to four decimal places if it has not terminated by then.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose the tangent line to the curve y = f(x) at the point (2, 4) has the equation y = 4x - 4. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial 2, find the second approximation #2. approximation is ¤1 Enter your answer as an integer or a decimal rounded to four decimal places if it has not terminated by then. arch 79
Transcribed Image Text:Suppose the tangent line to the curve y = f(x) at the point (2, 4) has the equation y = 4x - 4. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial 2, find the second approximation #2. approximation is ¤1 Enter your answer as an integer or a decimal rounded to four decimal places if it has not terminated by then. arch 79
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