The temperature at a point (x, y, z) is given by where I 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, -3, 2) in the direction toward the point Q(3, -5, 3). 9000√6 26 Answer: D f(2, -3,2)= PQ 2. In what direction does the temperature increase fastest at P? Answer: T(x, y, z) = 1500e-²-2²-2² 3. Find the maximum rate of increase at P. Answer:
The temperature at a point (x, y, z) is given by where I 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, -3, 2) in the direction toward the point Q(3, -5, 3). 9000√6 26 Answer: D f(2, -3,2)= PQ 2. In what direction does the temperature increase fastest at P? Answer: T(x, y, z) = 1500e-²-2²-2² 3. Find the maximum rate of increase at P. Answer:
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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Transcribed Image Text:The temperature at a point (x, y, z) is given by
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, -3, 2) in the direction toward the point Q(3, -5, 3).
9000√6
26
Answer: D ƒ(2, -3,2)=
PQ
2. In what direction does the temperature increase fastest at P?
Answer:
T(x, y, z) = 1500e-²-2²-2²
3. Find the maximum rate of increase at P.
Answer:
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