The temperature at a point (x, y, z) is given by T(x, Y, z) 1000e -x²–2y²-22 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, -2, 2)...

The temperature at a point (x, y, z) is given by<br>T(x, Y, z)<br>1000e<br>-x²–2y²-22<br>where T is measured in °C and x, y, and z in meters.<br>1. Find the rate of change of the temperature at the point P(2, -2, 2) in the direction toward the<br>point Q(3, –4, 3).<br>Answer: D f(2, –2, 2)<br>PQ<br>2. In what direction does the temperature increase fastest at P?<br>Answer:<br>3. Find the maximum rate of increase at P.<br>Answer:<br>

Extracted text: The temperature at a point (x, y, z) is given by T(x, Y, z) 1000e -x²–2y²-22 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, -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:

Jun 05, 2022

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The temperature at a point (x, y, z) is given by T(x, Y, z) 1000e -x²–2y²-22 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, -2, 2)...

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