A jar of juice came out of the fridge at 9 h and placed on the kitchen counter. Refrigerator temperature is 7°C and that of the kitchen is 22°C. One hour later, the juice pot temperature is 12°C. Let T(t) the pot temperature t hours after 9h. (i) Assuming that the pot temperature obeys Newton's law of cooling, give the exact formula for T(t) (ii) What is the temperature of the pot at 1 p.m.? Give the answer to the nearest 0.1.

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A jar of juice came out of the fridge at 9 h
and placed on the kitchen counter.
Refrigerator temperature is 7°C and that
of the kitchen is 22°C. One hour later, the
juice pot temperature is 12°C. Let T(t) the
pot temperature t hours after 9h.
(i) Assuming that the pot temperature
obeys Newton's law of cooling, give the
exact formula for T(t)
(ii) What is the temperature of
the pot at 1 p.m.? Give the
answer to the nearest 0.1.
Transcribed Image Text:A jar of juice came out of the fridge at 9 h and placed on the kitchen counter. Refrigerator temperature is 7°C and that of the kitchen is 22°C. One hour later, the juice pot temperature is 12°C. Let T(t) the pot temperature t hours after 9h. (i) Assuming that the pot temperature obeys Newton's law of cooling, give the exact formula for T(t) (ii) What is the temperature of the pot at 1 p.m.? Give the answer to the nearest 0.1.
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