- #1
tacopwn
- 5
- 0
Homework Statement
Find an equation for the path of a particle that starts at P(10,10) and always moves in the direction of maximum temperature increase if the temperature in the plane is T(x,y) = 400-2x^2 -y^2
Homework Equations
T(x,y) = 400-2x^2 -y^2
dT/dx = -4x
dT/dy = -2y
d^2T/dx^2 = -4
d^2T/dy^2 = -2
maximum is at (0,0)=400
The Attempt at a Solution
I'm not sure how to solve this because the maximum temperature increase (second derivative) is always -4 in the x and -2 in the y.