Chapter 13: Q. 27 (page 1082)
Evaluating triple integrals: Each of the triple integrals that follows represents the volume of a solid. Sketch the solid and evaluate the integral.
Chapter 13: Q. 27 (page 1082)
Evaluating triple integrals: Each of the triple integrals that follows represents the volume of a solid. Sketch the solid and evaluate the integral.
All the tools & learning materials you need for study success - in one app.
Get started for freeEvaluate the sums in Exercises .
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.
Explain why it would be difficult to evaluate the double integrals in Exercises 18 and 19 as iterated integrals.
Evaluate each of the double integral in the exercise 37-54 as iterated integrals
Let be an integrable function on the rectangular solid , and let Use the definition of the triple integral to prove that:
What do you think about this solution?
We value your feedback to improve our textbook solutions.