Chapter 13: Q. 45 (page 1055)
In Exercises 45鈥52, rewrite the indicated integral with the specified order of integration.
Exercise 35with the order dx dy dz.
Short Answer
The given indicated integral with the specified order of integration is,
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Chapter 13: Q. 45 (page 1055)
In Exercises 45鈥52, rewrite the indicated integral with the specified order of integration.
Exercise 35with the order dx dy dz.
The given indicated integral with the specified order of integration is,
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Let be a lamina in the xy-plane. Suppose is composed of two non-overlapping lamin and , as follows:

Show that if the masses and centers of masses of and are and and respectively, then the center of mass of is where
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Use Definition to evaluate the double integrals in Exercises .
where
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Assuming that the density at each point in R is proportional to the distance of the point from the xy-plane, find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
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