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
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The temperature at a point on a metal surface is
T (x, y. z) = 0.05x² – 0.01y– 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?
Transcribed Image Text:The temperature at a point on a metal surface is T (x, y. z) = 0.05x² – 0.01y– 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?
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