Suppose the tangent line to the curve y = f(x) at the point (1, 5) has the equation y = 8 - 3x. If Newton's method is used to locate a solution of the equation f(x) = 0 and the initial approximation is x₁ = 1, find the second approximation X₂. x2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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Suppose the tangent line to the curve y = f(x) at the point (1, 5) has the equation y = 8 - 3x. If Newton's method is used to
locate a solution of the equation f(x) = 0 and the initial approximation is x₁ = 1, find the second approximation X₂.
x2 =
Transcribed Image Text:Suppose the tangent line to the curve y = f(x) at the point (1, 5) has the equation y = 8 - 3x. If Newton's method is used to locate a solution of the equation f(x) = 0 and the initial approximation is x₁ = 1, find the second approximation X₂. x2 =
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