Chapter 13: Q. 3 (page 1003)
Chapter 13: Q. 3 (page 1003)
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Get started for freeUse Definition to evaluate the double integrals in Exercises .
where
In Exercises 61–64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout, and find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
Identify the quantities determined by the integral expressions in Exercises 19–24. If x, y, and z are all measured in centimeters and ρ(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.
Let be a lamina in the xy-plane. Suppose is composed of n non-overlapping laminæ role="math" localid="1650321722341" Show that if the masses of these laminæ are and the centers of masses are then the center of mass of is where
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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