Question: Suppose the temperature at a point in a metal cube is given by T(u, v, w) = 90 - 55e ^[-1/20(u+v +w)] where the centre

 Suppose the temperature at a point in a metal cube is
given by T(u, v, w) = 90 - 55e ^[-1/20(u²+v² +w²)] where

Suppose the temperature at a point in a metal cube is given by T(u, v, w) = 90 - 55e ^[-1/20(u²+v² +w²)] where the centre of the cube is taken to be at (1, 0, -2). Find the rate of change of temperature at the origin in the direction of the unit vector. r=(1/?7)(-2,1,-3).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!