A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 91°F. The 0 rate of change of temperature T of the can of soda at time t (in hours) after being placed inside the refrigerator follows the differential equation dT K(T-40). Suppose that after 1 hour in the dt refrigerator the temperature of the soda is 59°F. At what time will the soda's temperature be 54°F? S (Use two decimal places for the final answer).

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A can of soda is placed inside the refrigerator. The
soda has an initial temperature of T = 91°F. The
0
rate of change of temperature T of the can of
soda at time t (in hours) after being placed inside
the refrigerator follows the differential equation
dT
K(T-40). Suppose that after 1 hour in the
dt
=
refrigerator the temperature of the soda is 59°F.
At what time will the soda's temperature be 54-F?
S (Use two decimal places for the final answer).
Transcribed Image Text:A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 91°F. The 0 rate of change of temperature T of the can of soda at time t (in hours) after being placed inside the refrigerator follows the differential equation dT K(T-40). Suppose that after 1 hour in the dt = refrigerator the temperature of the soda is 59°F. At what time will the soda's temperature be 54-F? S (Use two decimal places for the final answer).
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