Mathematics, 06.03.2020 23:54 matluck4162
The temperature at a point (x, y, z) is given by T(x, y, z) = 100e−x2 − 3y2 − 7z2 where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature at the point P(4, −1, 4) in the direction towards the point (6, −4, 5). Incorrect: Your answer is incorrect. °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P.
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The temperature at a point (x, y, z) is given by T(x, y, z) = 100e−x2 − 3y2 − 7z2 where T is measure...
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