Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is the temperature, in degrees Fahrenheit, at time t, in hours. Find the instantaneous rate of change of the temperature at t=3.5hours.  Round the answer to three decimal places.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is the temperature, in degrees Fahrenheit, at time t, in hours. Find the instantaneous rate of change of the temperature at t=3.5hours.  Round the answer to three decimal places.  

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