Chapter 13: Q. 70 (page 1057)
Let a, b, and c be positive real numbers, and letR = {(x, y,z) | −a ≤ x ≤ a, −b ≤ y ≤ b, and −c ≤ z ≤ c}.
Prove that if any of α, β, and γ is an odd function.
Short Answer
The given statement is proved.
Chapter 13: Q. 70 (page 1057)
Let a, b, and c be positive real numbers, and letR = {(x, y,z) | −a ≤ x ≤ a, −b ≤ y ≤ b, and −c ≤ z ≤ c}.
Prove that if any of α, β, and γ is an odd function.
The given statement is proved.
All the tools & learning materials you need for study success - in one app.
Get started for freeEvaluate each of the double integral in the exercise 37-54 as iterated integrals
In Exercises, let
If the density at each point in S is proportional to the point’s distance from the origin, find the center of mass of S.
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
Find the volume between the graph of the given function and the xy-plane over the specified rectangle in the xy-plane
Find the masses of the solids described in Exercises 53–56.
The solid bounded above by the hyperboloid with equation and bounded below by the square with vertices (2, 2, −4), (2, −2, −4), (−2, −2, −4), and (−2, 2, −4) if the density at each point is proportional to the distance of the point from the plane with equationz = −4.
What do you think about this solution?
We value your feedback to improve our textbook solutions.