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1. Find the rate of change of the temperature at the point P(2, -2, 2) in the direction toward the point Q(3, -4, 3) Answer: D f(2, –2, 2) = PQ 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:

1. Find the rate of change of the temperature at the point P(2, -2, 2) in the direction toward the point Q(3, -4, 3) Answer: D f(2, –2, 2) = PQ 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The temperature at a point (x,y,z) is given by T(x,y,z)=1200e-x^{2}-2y^{2}-z^{2} where T is measured in ∘C and x, y, and z in meters.

1. Find the rate of change of the temperature at the point P(2, –2, 2) in the direction toward the point Q(3, –4, 3). Answer: D f(2, –2, 2) = PQ 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:
Transcribed Image Text:1. Find the rate of change of the temperature at the point P(2, –2, 2) in the direction toward the point Q(3, –4, 3). Answer: D f(2, –2, 2) = PQ 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:
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