- The Temperature At A Point X Y Z Is Given By T X Y Z 400e X2 3y2 972 Where T Is Measured In C And X Y Z 1 (21.73 KiB) Viewed 27 times
The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x2 – 3y2 - 972 where T is measured in °C and x, y, z
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The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x2 – 3y2 - 972 where T is measured in °C and x, y, z
The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x2 – 3y2 - 972 where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature at the point P(2, -1, 4) in the direction towards the point (5,-2, 6). °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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