Path of a heat-seeking particle A heat-seeking particle
Chapter , Problem 19AAE(choose chapter or problem)
Path of a heat-seeking particle A heat-seeking particle has the property that at any point \((\mathrm{x}, \mathrm{y})\) in the plane it moves in the direction of maximum temperature increase. If the temperature at \((\mathrm{x}, \mathrm{y})\) is \(T(x, y)=e^{-2 y} \cos x\), find an equation \({y}={f(x)}\) for the path of a heat-seeking particle at the point \((\pi / 4, \ 0)\).
Equation Transcription:
Text Transcription:
(x, y)
T(x, y) = e^-2y cos x
y = f(x)
(pi/4, 0)
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