The function that models the temperature T ( t ) (in °F ) of the water t hours after the water heater is shut off originally 122 °F . The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60 °F . The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351.
The function that models the temperature T ( t ) (in °F ) of the water t hours after the water heater is shut off originally 122 °F . The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60 °F . The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351.
Solution Summary: The author explains Newton's law of cooling, which states that the temperature of a warm object decreases exponentially with time.
The function that models the temperature T(t)(in °F) of the water t hours after the water heater is shut off originally 122°F. The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60°F. The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351.
(b)
To determine
To calculate: The temperature of the water 12 hours after the water heater is shut off originally 122°F rounded to the nearest degree. The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60°F. The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351.
(c)
To determine
The water still be warm enough for a shower 24 hours waited by Dominic. Initially the temperature of water is 122°F. The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60°F. The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351.
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