Chapter 13: Q. 32 (page 1055)
Evaluate the triple integrals over the specified rectangular solid region.
Chapter 13: Q. 32 (page 1055)
Evaluate the triple integrals over the specified rectangular solid region.
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Get started for freeFind the masses of the solids described in Exercises 53–56.
The solid bounded above by the paraboloid with equation and bounded below by the rectangle in the xy-plane if the density at each point is proportional to the square of the distance of the point from the origin.
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
Identify 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.
Earlier in this section, we showed that we could use Fubini’s theorem to evaluate the integral and we showed that Now evaluate the double integral by evaluating the iterated integral.
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