Suppose the tangent line to the curve y = f (x) at the point (-4, 3) has the equation: y = 2 x + 11. If Newton's method is used to find a root of the equation f (x) = 0, and the first approximation is x1 = -4, then what is the second approximation x2?

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...
Question
Suppose the tangent line to the curve y = f (x) at the point (-4, 3) has the
equation:
y = 2 x + 11.
If Newton's method is used to find a root of the equation f (x) = 0, and the first
approximation is x1 = -4, then what is the second approximation x2?
x2
= Number
Transcribed Image Text:Suppose the tangent line to the curve y = f (x) at the point (-4, 3) has the equation: y = 2 x + 11. If Newton's method is used to find a root of the equation f (x) = 0, and the first approximation is x1 = -4, then what is the second approximation x2? x2 = Number
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