Concept explainers
(a) Find a positive continuous function
(b) A solid is generated by rotating about the
(a)
To find:
A positive continuous function
Answer to Problem 1P
Solution:
Explanation of Solution
The area under the graph of
This area is given as
It is given that
Differentiating the above equation with respect to
Using the Fundamental Theorem of Calculus (1),
Thus it follows that
This is the required positive continuous function for all
Conclusion:
(b)
To find:
The function
Answer to Problem 1P
Solution:
Explanation of Solution
The area of cross section at
The volume of the solid between
Therefore,
Differentiating the above equation with respect to
Solving for
Since
Conclusion:
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Chapter 5 Solutions
Calculus (MindTap Course List)
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