The temperature at a point (x,y,z) is given by T(x,y,z)=200e^-x^2-3y^-9z^2, where T measured in degrees Celsius and x,y,z in meters. Find the rate of change of temperature at the point P(2, -1, 2) in the direction toward the point (3, -3, 3)

Therefore the rate change of temperature at the point P(2,-1,2) in the direction toward the point (3,-3,3) is  °C/m.

Step-by-step explanation:

Given that, the temperature at a point (x,y,z) is

.

Rate change of temperature at the point P(2,-1,2) in the direction toward the point Q (3,-3,3) is

The gradient of the temperature

V==(3,-3,3)-(2,-1,2)=(1,-2,1)

The unit vector of V is

Therefore,

                        °C/m

Therefore the rate change of temperature at the point P(2,-1,2) in the direction toward the point (3,-3,3) is  °C/m.

G

Step-by-step explanation:

7/2= 3.5

3.5+3=6.5

10/2=5

5+3=8

So on