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 freeEvaluate the iterated integral :
Let be a continuous function of three variables, let be a set of points in the -plane, and let be a set of points in 3-space. Find an iterated triple integral equal to the the triple integral. How would your answer change if?
In Exercises, let
If the density at each point in S is proportional to the point’s distance from the origin, find the center of mass of S.
Evaluate each of the integrals in exercise 33-36 as iterated integrals and then compare your answers with those you found in exercise 29-32
Explain how the Fundamental Theorem of Calculus is used in evaluating the iterated integral .
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