A cup of water with a temperature of C is placed in a room at constant temperature C. It takes minutes for the cup to cool to . Assuming Newton's Law of Cooling applies, find the temperature, T, of the cup of water at any time t. Express all numerical quantities in exact form.

Question

A cup of water with a temperature of  C is placed in a room at constant temperature  C. It takes  minutes for the cup to cool to  . Assuming Newton's Law of Cooling applies, find the temperature, T, of the cup of water at any time t. Express all numerical quantities in exact form.

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The Answer of A cup of water with a temperature of  C is placed in a room at constant temperature  C. It takes  minutes for the cup to cool to  . Assuming Newton's Law of Cooling applies, find the temperature, T, of the cup of water at any time t. Express all numerical quantities in exact form.

A Cup of Water with a Temperature of C