0 A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70°F. The rate of change of temperature dT dt T of the can of soda at time t (in hours) after being placed inside the refrigerator follows the differential equation = K(T-40). Suppose that after 1 hour in the refrigerator the temperature of the soda is 64°F. At what time will the soda's temperature be 47°F? S (Use two decimal places for the final answer).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A can of soda is placed inside the refrigerator. The soda has an initial temperature of T
= 70°F. The rate of change of temperature
0
T of the can of soda at time t (in hours) after being placed inside the refrigerator follows the differential equation = K(T-40).
dT
dt
Suppose that after 1 hour in the refrigerator the temperature of the soda is 64°F. At what time will the soda's temperature be 47-F?
S (Use two decimal places for the final answer).
Transcribed Image Text:Question 4 A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70°F. The rate of change of temperature 0 T of the can of soda at time t (in hours) after being placed inside the refrigerator follows the differential equation = K(T-40). dT dt Suppose that after 1 hour in the refrigerator the temperature of the soda is 64°F. At what time will the soda's temperature be 47-F? S (Use two decimal places for the final answer).
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