(a) What is the average temperature? (b) At which points of the cube is the temperature equal to the average temperature?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Assume that the temperature at all points in the cube Q = [-1, 1]×[-1, 1] ×
[-1, 1] is proportional to the square of the distance from the origin.
(a) What is the average temperature?
(b) At which points of the cube is the temperature equal to the average temperature?
Transcribed Image Text:Assume that the temperature at all points in the cube Q = [-1, 1]×[-1, 1] × [-1, 1] is proportional to the square of the distance from the origin. (a) What is the average temperature? (b) At which points of the cube is the temperature equal to the average temperature?
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