Chapter 13: Q. 42 (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. 42 (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
All the tools & learning materials you need for study success - in one app.
Get started for freeLet be an integrable function on the rectangular solid , and let Use the definition of the triple integral to prove that:
Evaluate the iterated integral :
In 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.
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 each of the double integral in the exercise 37-54 as iterated integrals
What do you think about this solution?
We value your feedback to improve our textbook solutions.