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

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Advance Math

Carlos takes a glass of cold water from the refrigerator and puts it on a table. The day is sunnyand the temperature is 30 °C. Once outside the refrigerator, the water temperature was0 °C and after 10 minutes it rose to 18 °C. Determine a differential equation that models thetemperature change over time, assuming the reason at which the temperature changesof the drink is proportional:

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

b) Determine what happens with temperature when time tends toinfinity.

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

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