Chapter 13: Q. 30 (page 1055)
Evaluate the iterated integral :
Chapter 13: Q. 30 (page 1055)
Evaluate the iterated integral :
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Discuss the similarities and differences between the definition of the definite integral found in Chapter 4 and the definition of the double integral found in this section.
Evaluate the sums in Exercises
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
In Exercises, let
If the density at each point in S is proportional to the point’s distance from the origin, find the moments of inertia about the x-axis, the y-axis, and the origin. Use these answers to find the radii of gyration of S about the x-axis, the y-axis, and the origin.
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