The temperature at a point (x, y, z) is given by T(x, y, z)= 1100e-2²-2²-2² 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). Answer: D f(2, -3,2)= -1.063*10^-7 PQ 2. In what direction does the temperature increase fastest at P? Answer:

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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).
Answer: D
f(2, -3,2)= -1.063*10^-7
PQ
2. In what direction does the temperature increase fastest at P?
Answer:
T(x, y, z)= 1100e-2²-2²-2²
3. Find the maximum rate of increase at P.
Answer:
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). Answer: D f(2, -3,2)= -1.063*10^-7 PQ 2. In what direction does the temperature increase fastest at P? Answer: T(x, y, z)= 1100e-2²-2²-2² 3. Find the maximum rate of increase at P. Answer:
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