1. The problem statement, all variables and given/known data a heat seeking particle has the property at any point (x,y) in the plane it moves in the direction of maximum temperature increase. If the temparature at (x,y) is T(x,y)=-(e^-2y)*(cosx), find an equation y=f(x) for the path o a heat seeking particle at the point (pi/4,0) 3. The attempt at a solution I did not completely understood the problem. What is y=f(x) exactly? Is it a linearizaton at (pi/4,0) or such a thing?