Chapter 13: Q. 26 (page 1004)
Evaluate the sums in Exercises .
Short Answer
The value of the summation is
Chapter 13: Q. 26 (page 1004)
Evaluate the sums in Exercises .
The value of the summation is
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Get started for freeIn Exercises 61–64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout.
(a) Without using calculus, explain why the center of
mass is
(b) Verify that is the center of mass by using the appropriate integral expressions.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
How many summands are in ?
Evaluate the iterated integral :
Find the masses of the solids described in Exercises 53–56.
The solid bounded above by the paraboloid with equation and bounded below by the rectangle in the xy-plane if the density at each point is proportional to the square of the distance of the point from the origin.
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