Chapter 13: Q. 26 (page 991)
If the density at each point in is proportional to the point's distance from the x-axis, find the mass of .
Short Answer
The centroid of the triangular region is
Chapter 13: Q. 26 (page 991)
If the density at each point in is proportional to the point's distance from the x-axis, find the mass of .
The centroid of the triangular region is
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Get started for freeEvaluate each of the double integral in the exercise 37-54 as iterated integrals
Use the results of Exercises 59 and 60 to find the centers of masses of the laminæ in Exercises 61–67.
Use the lamina from Exercise 61, but assume that the density is proportional to the distance from the x-axis.
Let f(x, y, z) and g(x, y, z) be integrable functions on the rectangular solid . . Use the definition of the triple integral to prove that :
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