Suppose T(x, y, z) is the temperature at position (x, y, z) and suppose u is a unit vector pointing in some direction. Suppose saucy_whale is standing at (0, 0, 0), and suppose we know that the directional derivative D„T(0,0,0)is negative. What will happen if saucy_whale moves in the direction of u?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose T(x, y, z) is the temperature at position (x, y, z) and suppose u is a unit vector pointing in some
direction. Suppose saucy_whale is standing at (0, 0, 0), and suppose we know that the directional derivative
D„T(0,0,0)is negative. What will happen if saucy_whale moves in the direction of u?
Transcribed Image Text:Suppose T(x, y, z) is the temperature at position (x, y, z) and suppose u is a unit vector pointing in some direction. Suppose saucy_whale is standing at (0, 0, 0), and suppose we know that the directional derivative D„T(0,0,0)is negative. What will happen if saucy_whale moves in the direction of u?
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