The Good, the Bad, and the Ugly Initial Approximations The x-intercept offo)-16x3-28x, 16x-2 is shown in the graph below. a) Find and simplify the formula from Newton's Method for calculating x-1 . b) Use the formula you found above and the initial approximation x0.4 to approximate the value of the x-intercept, correct to five decimal places Repeat using the initial approximation xo= 0.5 . what happens? Repeat using the initial approximation xo=0.6. What happens? c) d)
The Good, the Bad, and the Ugly Initial Approximations The x-intercept offo)-16x3-28x, 16x-2 is shown in the graph below. a) Find and simplify the formula from Newton's Method for calculating x-1 . b) Use the formula you found above and the initial approximation x0.4 to approximate the value of the x-intercept, correct to five decimal places Repeat using the initial approximation xo= 0.5 . what happens? Repeat using the initial approximation xo=0.6. What happens? c) d)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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