Concept explainers
(a)
The volume of the solid.
(a)
Answer to Problem 10RE
The total volume is
Explanation of Solution
Given information:
The curve y = sin x is revolved around the x-axis
Formula used:
Calculation:
Surface of sphere were generated by revolving the graph of the function “f (x) = sin x" about the x-axis. Partition the interval into n subintervals of equal length “
In our case h is
The approximate the volume of the sphere by using MRAM to sum the cylinder volumes,
Now, using Riemann sum approximation
Conclusion:
The total volume is
(b)
The volume using NINT.
(b)
Answer to Problem 10RE
The value is
Explanation of Solution
Given information:
The curve y = sin x is revolved around the x-axis
Formula used:
Calculation:
Calculator has a numerical
The understanding that the right-hand side of the equation is an approximation of the left-hand side
Now, use above expression with this function
Conclusion:
The value is
Chapter 6 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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