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 130°. (a) Find the rate of change of T, DµT, at (2, 4, 4) in the direction toward the point (3, 7, 5). DuT(2, 4, 4) =

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 130°. (a) Find the rate of change of T, DµT, at (2, 4, 4) in the direction toward the point (3, 7, 5). DuT(2, 4, 4) =

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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Question

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 130°.
(a) Find the rate of change of T, DµT, at (2, 4, 4) in the direction toward the point (3, 7, 5).
DuT(2, 4, 4)
=

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