Experiments show is that in temprature field, heat flows in the direction of maximum decrease of temprature T. T = x2 + y2 + 4z2 , P:(2,-1,2) 1. Find the direction of maximum decrease at P. 2. Find the maximum decrease of T at P. 3. Find the Unit vector of max decrease.
Experiments show is that in temprature field, heat flows in the direction of maximum decrease of temprature T. T = x2 + y2 + 4z2 , P:(2,-1,2) 1. Find the direction of maximum decrease at P. 2. Find the maximum decrease of T at P. 3. Find the Unit vector of max decrease.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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Experiments show is that in temprature field, heat flows in the direction of maximum decrease of temprature T.
T = x2 + y2 + 4z2 , P:(2,-1,2)
1. Find the direction of maximum decrease at P.
2. Find the maximum decrease of T at P.
3. Find the Unit
4. Sketch the direction at P as arrow.
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