6. Suppose that the temperature T at point (x, y,z) is given by the function T = 2x2 – y? + 4z², and that a tiny heat-loving bug, currently hovering at point (1, –2,1), wants to fly in the direction in which the temperature is increasing most rapidly. Find a vector pointing in the direction he should fly.
6. Suppose that the temperature T at point (x, y,z) is given by the function T = 2x2 – y? + 4z², and that a tiny heat-loving bug, currently hovering at point (1, –2,1), wants to fly in the direction in which the temperature is increasing most rapidly. Find a vector pointing in the direction he should fly.
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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