The temperature at a point on a metal surface is T (x, y. z) = 0.05x² – 0.01y³ – z in degrees Celsius. If an ant were standing at (10, –10, 10) on the surface, which direction should it walk so that the temperature increases most rapidly?
The temperature at a point on a metal surface is T (x, y. z) = 0.05x² – 0.01y³ – z in degrees Celsius. If an ant were standing at (10, –10, 10) on the surface, which direction should it walk so that the temperature increases most rapidly?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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