Concept explainers
(a)
The value of
(a)
Answer to Problem 37E
The value is
Explanation of Solution
Given information:
Consider the
Formula used:
Calculation:
Take derivative both sides
Now, again take derivative
Conclusion:
The value is
(b)
To sketch: The graph of the function
(b)
Answer to Problem 37E
The value gets decreases on the negative values.
Explanation of Solution
Given information:
Consider the
Formula used:
The graph is plotted against the x and y axis.
Calculation:
The graph of
Conclusion:
The value gets decreases on the negative values.
(c)
The value of
(c)
Answer to Problem 37E
The modulus of
Explanation of Solution
Given information:
Consider the
Formula used:
Calculation:
Observe the graph,
For
Hence modulus of
Conclusion:
The modulus of
(d)
The error estimate of the trapezoidal rule.
(d)
Answer to Problem 37E
The value is
Explanation of Solution
Given information:
Consider the
Formula used:
Calculation:
If T represents the approximation to
Since,
Hence,
Conclusion:
The value is
(e)
The trapezoidal rule error having the values less than or equal to 0.01.
(e)
Answer to Problem 37E
The value is less than 0.01.
Explanation of Solution
Given information:
Consider the
Formula used:
Calculation:
If
This is less than 0.01.
Conclusion:
The value is less than 0.01.
(f)
The larger value of n.
(f)
Answer to Problem 37E
The value will be
Explanation of Solution
Given information:
Consider the
Formula used:
Calculation:
Since,
So,
Therefore,
Conclusion:
The value will be
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (3rd Edition)
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