The temperature at a point (x, y, z) is given by T(x, y, z) = 100e?x2 ? 3y2 ? 7z2 where T is...
(x, y, z)
is given by
T(x, y, z) = 100e?x^2 ? 3y^2 ? 7z^2
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, 2) in the direction towards the point
(3, ?2, 3).
(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...
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