Chapter 13: Q. 64 (page 1040)
In the following lamina, all angles are right angles and the density is constant:
Short Answer
The Center of mass of lamina is
Chapter 13: Q. 64 (page 1040)
In the following lamina, all angles are right angles and the density is constant:
The Center of mass of lamina 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.
(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 each of the integrals in exercise 33-36 as iterated integrals and then compare your answers with those you found in exercise 29-32
Evaluate the triple integrals over the specified rectangular solid region.
Explain how to construct a Riemann sum for a function of two variables over a rectangular region.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
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