4. According to Newton’s law of cooling, the rate at which a body cools is proportional to the difference between the temperature of the body and that of the surrounding medium. Let 0 represent the temperature (in °C) of a body in a room whose temperature is kept at a constant 18°. If the body cools from 70° to 57° in 5 minutes, how much longer will it take for its temperature to drops to 40°?
4. According to Newton’s law of cooling, the rate at which a body cools is proportional to the difference between the temperature of the body and that of the surrounding medium. Let 0 represent the temperature (in °C) of a body in a room whose temperature is kept at a constant 18°. If the body cools from 70° to 57° in 5 minutes, how much longer will it take for its temperature to drops to 40°?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:4. According to Newton's law of cooling, the rate at which a body cools is proportional
to the difference between the temperature of the body and that of the surrounding
medium. Let 0 represent the temperature (in °C) of a body in a room whose
temperature is kept at a constant 18°. If the body cools from 70° to 57° in 5 minutes,
how much longer will it take for its temperature to drops to 40°?
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