Newton's Law of Cooling a) A cup of coffee has temperature 95° C and takes 30 minutes to cool to 61° C in a room with emperature 20° C. Use Newton's Law of Cooling to show that the temperature of the coffee fter t minutes is T(t) = 20 + 75e¯kt where k ≈ 0.02. b) What is the average temperature of the coffee during the first half hour?
Newton's Law of Cooling a) A cup of coffee has temperature 95° C and takes 30 minutes to cool to 61° C in a room with emperature 20° C. Use Newton's Law of Cooling to show that the temperature of the coffee fter t minutes is T(t) = 20 + 75e¯kt where k ≈ 0.02. b) What is the average temperature of the coffee during the first half hour?
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 4SE: Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of...
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