Chapter 13: Q. 19 (page 1038)
Show that when the density of the region is proportional to the distance from the -axis, the first moment about the -axis is
Short Answer
The moment of inertia about x-axis is
Chapter 13: Q. 19 (page 1038)
Show that when the density of the region is proportional to the distance from the -axis, the first moment about the -axis is
The moment of inertia about x-axis is
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Get started for freeUse the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
Evaluate the iterated integral :
Discuss the similarities and differences between the definition of the double integral found in Section and the definition of the triple integral found in this section.
Evaluate the triple integrals over the specified rectangular solid region.
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
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