A heat-seeking particle has the property that at any point (x, y) in the plane it moves

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A heat-seeking particle has the property that at any point (x, y) in the plane it moves in the direction of maximum temperature increase. If the temperature at (x, y) is T(x, y) = -e-2y cos x, find an equation y = ƒ(x) for the path of a heat-seeking particle at the point (π/4, 0).

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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