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.

idc

step-by-step explanation:

idk

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!