Chapter 3.8, Problem 13E
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Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
Solutions
Chapter
Section
BuyFindarrow_forward
Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
13-14 (a) Explain how we know that the given equation must have a root in the given interval, (b) Use Newton’s method to approximate the root correct to six decimal places.
To determine
a)
To explain:
How we know that the given equation must have a root in the interval
Explanation
1) Concept:
Intermediate value theorem- If a continuous function
2) Given:
The equation
3) Calculation:
Let
Since
So
So by Substituting
To determine
b)
To use:
TheNewton’s method to approximation the root correct to six decimal places
Chapter 3 Solutions
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