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 freeEvaluate each of the double integrals in Exercises 37–54 as iterated integrals.
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.
Evaluate the sums in Exercises .
Evaluate the iterated integral :
Explain how to construct a Riemann sum for a function of three variables over a rectangular solid.
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