3. A hot coffee with temperature 90° C is placed in living room with temperature 26°C. After 5 minutes, the temperature of the coffee becomes 65 C. The equation that governs this problem is given by dT -k(T –T,) dt where T is the temperature of the coffee, T, is the a room temperature and k = 0.0991 is the constant rate. Estimate the coffee's temperature after half an hour.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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3. A hot coffee with temperature 90 C is placed in living room with temperature 26 C. After
5 minutes, the temperature of the coffee becomes 65 C. The equation that governs this
problem is given by
dT
--k(T –T,)
dt
where T is the temperature of the coffee, T, is the a room temperature and k=0.0991 is the
constant rate. Estimate the coffee's temperature after half an hour.
Transcribed Image Text:3. A hot coffee with temperature 90 C is placed in living room with temperature 26 C. After 5 minutes, the temperature of the coffee becomes 65 C. The equation that governs this problem is given by dT --k(T –T,) dt where T is the temperature of the coffee, T, is the a room temperature and k=0.0991 is the constant rate. Estimate the coffee's temperature after half an hour.
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