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...