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 freeIdentify the quantities determined by the integral expressions in Exercises 19–24. If x, y, and z are all measured in centimeters and ρ(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.
Explain how to construct a midpoint Riemann sum for a function of three variables over a rectangular solid for which each is the midpoint of the subsolid role="math" localid="1650346869585" . Refer either to your answer to Exercise or to Definition .
Evaluate each of the double integrals in Exercisesas iterated integrals.
localid="1650380493598"
wherelocalid="1650380496793"
In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise 41 with the order dy dx dz.
Evaluate each of the double integral in the exercise 37-54 as iterated integrals
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