19. The figure shows the graph of a function f. Suppose that Newton's method is used to approximate the root r of the equation f(x)=0 with initial approximation x₁ = 1. (a) Draw the tangent lines that are used to find x2 and x3, and estimate the numerical values of x2 and x3. (b) Would x₁ = 5 be a better first approximation? Explain. y 1 0 1 r S X

19. The figure shows the graph of a function f. Suppose that Newton's method is used to approximate the root r of the equation f(x)=0 with initial approximation x₁ = 1. (a) Draw the tangent lines that are used to find x2 and x3, and estimate the numerical values of x2 and x3. (b) Would x₁ = 5 be a better first approximation? Explain. y 1 0 1 r S X

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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