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Suppose you have just made a cup of apple cider with temperature 90C in a room where the temperature is 20C. Recall that Newton's Law

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Suppose you have just made a cup of apple cider with temperature 90C in a room where the temperature is 20C. Recall that Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Let C(t) be the temperature of the apple cider at time t. Write a differential equation that expresses Newton's Law of Cooling for this particular situation, assuming that the room temperature stays at 20C. What is the initial condition? Suppose you have just made a cup of apple cider with temperature 90C in a room where the temperature is 20C. Recall that Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Let C(t) be the temperature of the apple cider at time t. Write a differential equation that expresses Newton's Law of Cooling for this particular situation, assuming that the room temperature stays at 20C. What is the initial condition

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