Carlos takes a glass of cold water from the refrigerator and puts it on a table....

Carlos takes a glass of cold water from the refrigerator and puts it on a table. The day is sunny
and the temperature is 30 °C. Once outside the refrigerator, the water temperature was
0 °C and after 10 minutes it rose to 18 °C. Determine a differential equation that models the
temperature change over time, assuming the reason at which the temperature changes
of the drink is proportional:

a) The difference between its own temperature and that of the surrounding environment.

b) Determine what happens with temperature when time tends to infinity.

c) the square of the difference between its own temperature and that of the surrounding environment.

Expert Solution

Colby Messinger answered 5 months ago

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