Chapter 13: Q 56. (page 1039)
Let
If the density at each point in S is proportional to the point’s distance from the origin, find the mass of S.
Short Answer
Answer is where k is the constant of proportionality.
Chapter 13: Q 56. (page 1039)
Let
If the density at each point in S is proportional to the point’s distance from the origin, find the mass of S.
Answer is where k is the constant of proportionality.
All the tools & learning materials you need for study success - in one app.
Get started for freeDescribe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
In Exercises 57–60, let R be the rectangular solid defined by
R = {(x, y, z) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 3, 0 ≤ z ≤ 2}.
Assume that the density of R is uniform throughout, and find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
Explain how the Fundamental Theorem of Calculus is used in evaluating the iterated integral .
Explain how the Fundamental Theorem of Calculus is used in evaluating the iterated integral.
What do you think about this solution?
We value your feedback to improve our textbook solutions.