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28 Nov 2021
Problem 1a
Page 315
Section 4.7: Newton's Method
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
28 Nov 2021
Given information
The figure shows the graph of a function 
. Suppose that Newton’s method is used to approximate the root 
of the equation 
with initial approximation .
Step-by-step explanation
Step 1.
When Newton's method is used to find the root of a function 
start with a first approximation 
.
of a function start with a first approximation .Then use a tangent line 
at the point 
.
at the point .The 
-intercept of is 
, which is closer to and can be used to find another approximation 
.
-intercept of is , which is closer to and can be used to find another approximation .This is shown in the following figure.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 1a
- Problem 1b
- Problem 2
- Problem 3
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23a
- Problem 23b
- Problem 24a
- Problem 24b
- Problem 25
- Problem 26a
- Problem 26b
- Problem 26c
- Problem 26d
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34