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The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (2, 4, 4) is 120°K .

The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (2, 4, 4) is 120°K .

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The temperature T in a metal ball Q

The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (2,4, 4) is 120°K. Find D„T , the rate of change of T at (2,4,4) in the direction from (2,4, 4) toward the point (8, 8, 1), enter your answer into Ans using exact notation.
Transcribed Image Text:The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (2,4, 4) is 120°K. Find D„T , the rate of change of T at (2,4,4) in the direction from (2,4, 4) toward the point (8, 8, 1), enter your answer into Ans using exact notation.
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