Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round the iterations to five decimal places.) f(x) = 6x³ – 7, X1 = 1 STEP 1: Find f'(x). f'(x) = 18x2 %3D STEP 2: Find x2. f(x,) X2 = X1- F(X1) 19/18 %D STEP 3: Find ×3. f(x2) X3=X2- F'(X2)
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round the iterations to five decimal places.) f(x) = 6x³ – 7, X1 = 1 STEP 1: Find f'(x). f'(x) = 18x2 %3D STEP 2: Find x2. f(x,) X2 = X1- F(X1) 19/18 %D STEP 3: Find ×3. f(x2) X3=X2- F'(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...
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Transcribed Image Text:Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round the iterations to five decimal places.)
f(x) = 6x³ – 7, X1
= 1
STEP 1: Find f'(x).
f'(x) = 18x2
%3D
STEP 2: Find x2.
f(x,)
X2 = X1- F(X1)
19/18
%D
STEP 3: Find ×3.
f(x2)
X3=X2- F'(X2)
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