Suppose you are a bug buzzing around in space. You are currently at the point (1, 1, 0). If the temperature at point (x,y,z) is given by T(x, y, z) = xyz + x²y — z. If you are a bug that likes warm temperatures, which direction should you fly in to move in the direction of most rapid temperature increase? (0, 1, 2) (0, 2,1) (1, 0,2) (1,2,0) (2,0,1) (2, 1,0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Suppose you are a bug buzzing around in space. You are currently at the point (1, 1, 0).
If the temperature at point (x,y,z) is given by T(x, y, z)
=
xyz + x²y Z.
If you are a bug that likes warm temperatures, which direction should you fly in to move in the
direction of most rapid temperature increase?
(0, 1, 2)
(0, 2, 1)
(1, 0, 2)
○ (1,2,0)
(2,0,1)
(2, 1,0)
Transcribed Image Text:Suppose you are a bug buzzing around in space. You are currently at the point (1, 1, 0). If the temperature at point (x,y,z) is given by T(x, y, z) = xyz + x²y Z. If you are a bug that likes warm temperatures, which direction should you fly in to move in the direction of most rapid temperature increase? (0, 1, 2) (0, 2, 1) (1, 0, 2) ○ (1,2,0) (2,0,1) (2, 1,0)
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