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## Homework Statement

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)

## 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?