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.

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.

where is the gragh

step-by-step explanation: