Question

The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 31/(3 + x^2 + y^2), where T is measured in °C and x, y in meters.

(a) Find the rate of change of temperature with respect to distance at the point (3, 9) in the x- direction.
(b) Find the rate of change of temperature with respect to distance at the point (3, 9) in the y- direction.

Answer 1

Find the rate of change of temperature with respect to distance at the point (3, 9) in the x- direction.

(b) Find the rate of change of temperature with respect to distance at the point (3, 9) in the y-

Explanation:

because 3 9 t 2 x y where t