Chapter 13: Q 46. (page 1039)
If the density at each point in is proportional to the point’s distance from the -axis, find the mass of .
Short Answer
The mass of region is
Chapter 13: Q 46. (page 1039)
If the density at each point in is proportional to the point’s distance from the -axis, find the mass of .
The mass of region is
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Get started for freeEvaluate the iterated integral :
Evaluate the sums in Exercises .
Let be an integrable function on the rectangular solid , and let Use the definition of the triple integral to prove that:
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Find the masses of the solids described in Exercises 53–56.
The solid bounded above by the plane with equation 2x + 3y − z = 2 and bounded below by the triangle with vertices (1, 0, 0), (4, 0, 0), and (0, 2, 0) if the density at each point is proportional to the distance of the point from the
xy-plane.
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