Concept explainers
(a)
To find: To calculate the value of
(a)
Answer to Problem 38E
Explanation of Solution
Given information:
Formula Used:
Product rule of differentiation:
Calculation:
∴
(b)
To graph:To sketch the graph of
(b)
Explanation of Solution
Given information:
From part (a),
Graph:
The graph of
(c)
To explain
(c)
Explanation of Solution
Given Information:The graph of
From the above graph it is cleared that
∴
(d)
To prove the error estimate for Simpson’s Rule for the above function is
(d)
Explanation of Solution
Given information:
From part (c)
Formula Used:
The Error Estimate for Simpson’s Rule:
If
Calculation:
Since
∴
∴
(e)
To prove the error estimate for Simpson’s Rule will be less than or equal to
(e)
Explanation of Solution
Given information:
From part (d) error estimate for Simpson’s Rule for
Calculation:
If
∴Error estimate for Simpson’s Rule is less than or equal to
(f)
To find: To calculate the value of n if
(f)
Answer to Problem 38E
n must be at least 5 for
Explanation of Solution
Given information:
Calculation:
If
∴ n must be at least 5 for
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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