Newton's law of cooling and warming states that the temperature T(t) of an object at time & follows the equation d'T K(T.-T) dt where T, is the surrounding temperature and K is a constant. (i) Derive the general solution to this equation. (ii) A cold beer initially at 35°F warms up to 42° F in 5 min while sitting in a room at temperature 75° F. How warm will the beer be if left out for 20 min? =

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