The temperature of a cup of coffee varies according to Newton's Law of Cooling: T-K(T-A), where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes. 07

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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4. The temperature of a cup of coffee varies according to Newton's Law of Cooling: =-k(T-A), where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1
minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
dT
dt
O 42
Transcribed Image Text:4. The temperature of a cup of coffee varies according to Newton's Law of Cooling: =-k(T-A), where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes. 74 67 60 dT dt O 42
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