Chapter 13: Q.13 (page 991)
Show that when the density of the region is constant, the first moment about the -axis is
Short Answer
the first moment of the mass in about the axis is
Chapter 13: Q.13 (page 991)
Show that when the density of the region is constant, the first moment about the -axis is
the first moment of the mass in about the axis is
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Get started for freeUse Definition to evaluate the double integrals in Exercises .
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where
Evaluate each of the double integrals in Exercisesas iterated integrals.
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wherelocalid="1650380496793"
Evaluate the sums in Exercises 23–28.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Let be an integrable function on the rectangular solid , and let Use the definition of the triple integral to prove that:
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