Chapter 13: Q.59 (page 1016)
In Exercises 59–62, evaluate the double integral over the specified region.
Short Answer
Value of the integral over the rectangular region is,
.
Chapter 13: Q.59 (page 1016)
In Exercises 59–62, evaluate the double integral over the specified region.
Value of the integral over the rectangular region is,
.
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Get started for freeUse Definition to evaluate the double integrals in Exercises .
localid="1649936867482"
where
Evaluate the iterated integral :
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Describe the three-dimensional region expressed in each iterated integral:
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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