The termperature at a point (X, y, Z) is given by T(X, y, z) 400e-x2 - 3y2 - 9z2 where T is measured in oC and x, y, z in meters. (a) Find the rate of change of temperature at the point P(4, -1, 2) in...

Find the rate of change of temperature at the point

P(4, −1, 2)

in the direction towards the point

(5, −5, 6).

The termperature at a point (X, y, Z) is given by<br>T(X, y, z) 400e-x2 - 3y2 - 9z2<br>where T is measured in oC and x, y, z in meters.<br>(a) Find the rate of change of temperature at the point P(4, -1, 2) in the direction towards the point (5, -5, 6)<br>°C/m<br>

Extracted text: The termperature at a point (X, y, Z) is given by T(X, y, z) 400e-x2 - 3y2 - 9z2 where T is measured in oC and x, y, z in meters. (a) Find the rate of change of temperature at the point P(4, -1, 2) in the direction towards the point (5, -5, 6) °C/m

Jun 05, 2022

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The termperature at a point (X, y, Z) is given by T(X, y, z) 400e-x2 - 3y2 - 9z2 where T is measured in oC and x, y, z in meters. (a) Find the rate of change of temperature at the point P(4, -1, 2) in...

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