4. A cup of coffee is cooling down in a room. The temperature T°C of the coffee, t minutes after it was made is modelled by 1st, t≥0 T = 20 + 50e a. State the temperature of the coffee when it was first made. b. Find the temperature of the coffee, after 30 minutes. c. Calculate, to the nearest minute, the value of t when the temperature of the coffee has reached 35°C (Criteria 2.4)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. A cup of coffee is cooling down in a room.
The temperature T°C of the coffee, t minutes after it was made is modelled by
T = 20 + 50e-1st, tzo
a. State the temperature of the coffee when it was first made.
b. Find the temperature of the coffee, after 30 minutes.
c. Calculate, to the nearest minute, the value of t when the temperature of the coffee has
reached 35°C
(Criteria 2.4)
Transcribed Image Text:4. A cup of coffee is cooling down in a room. The temperature T°C of the coffee, t minutes after it was made is modelled by T = 20 + 50e-1st, tzo a. State the temperature of the coffee when it was first made. b. Find the temperature of the coffee, after 30 minutes. c. Calculate, to the nearest minute, the value of t when the temperature of the coffee has reached 35°C (Criteria 2.4)
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