The temperature at a point
(x, y, z)
is given by
T(x, y, z) = 30...
Mathematics, 11.03.2020 22:24 ijinaeiaujah8165
The temperature at a point
(x, y, z)
is given by
T(x, y, z) = 300e−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(2, −1, 3)
in the direction towards the point
(5, −3, 4).
°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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