Chapter 13: Q. 43 (page 1027)
Each of the integrals or integral expressions in Exercises 39-46 represents the volume of a solid in . Use polar coordinates to describe the solid, and evaluate the expressions.
Short Answer
The value of integral is
Chapter 13: Q. 43 (page 1027)
Each of the integrals or integral expressions in Exercises 39-46 represents the volume of a solid in . Use polar coordinates to describe the solid, and evaluate the expressions.
The value of integral 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.
In the following lamina, all angles are right angles and the density is constant:
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
What is the difference between a double integral and an iterated integral?
Evaluate the sums in Exercises .
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