Chapter 13: Q. 27 (page 1055)
Evaluate the iterated integral :
Chapter 13: Q. 27 (page 1055)
Evaluate the iterated integral :
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Get started for freeIn Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise 42 with the order dy dx dz.
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
Explain how to construct a Riemann sum for a function of three variables over a rectangular solid.
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
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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