1. In this problem you will use Newton's Method twice to approximate the x-intercept (i.e. find 2) of the function f(x) = x²-2x-2 f'(x)=2x-2 Use the initial guess of x0 = 2. You do not have to simplify, but your answers must be exact. No Decimals! (a) 3 points Give the equation of the tangent line that would be used to find the first improved guess, x1- x₁ = 2 y-(x²-2x-2) = (x-12x+2 y-f(2) = f'(2) (x-2)2) (4-(x²+2x+2)=(x-(2x+2) If X₁ = X then 12)=2 -2-2 X-4 Something went wrong 1=2/2)-2 -x2-2x-2 y₁ = (x-2x+2)-fx²+2x+2) 0₁ = 1 (2)² = 2) = 2 (b) points Give the equation of the tangent line that would be used to find the second improved guess, 12. fQF22-127-2 f'(x) = 2/2)-2=2 → (4-(2) = /x-2) (4-(2)=x-2) )

1. In this problem you will use Newton's Method twice to approximate the x-intercept (i.e. find 2) of the function f(x) = x²-2x-2 f'(x)=2x-2 Use the initial guess of x0 = 2. You do not have to simplify, but your answers must be exact. No Decimals! (a) 3 points Give the equation of the tangent line that would be used to find the first improved guess, x1- x₁ = 2 y-(x²-2x-2) = (x-12x+2 y-f(2) = f'(2) (x-2)2) (4-(x²+2x+2)=(x-(2x+2) If X₁ = X then 12)=2 -2-2 X-4 Something went wrong 1=2/2)-2 -x2-2x-2 y₁ = (x-2x+2)-fx²+2x+2) 0₁ = 1 (2)² = 2) = 2 (b) points Give the equation of the tangent line that would be used to find the second improved guess, 12. fQF22-127-2 f'(x) = 2/2)-2=2 → (4-(2) = /x-2) (4-(2)=x-2) )

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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