Chapter 13: Q. 26 (page 1004)
Evaluate the sums in Exercises .
Short Answer
The value of the summation is
Chapter 13: Q. 26 (page 1004)
Evaluate the sums in Exercises .
The value of the summation is
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Get started for freeIn Exercises 61–64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout, and find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
Discuss the similarities and differences between the definition of the definite integral found in Chapter 4 and the definition of the double integral found in this section.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
In Exercises 61–64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout.
(a) Without using calculus, explain why the center of
mass is
(b) Verify that is the center of mass by using the appropriate integral expressions.
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