SolutionThe monkey is pulling down on the rope hard enough to pull itself up. This increases the tension in the rope just enough to cause the weight to rise at the same rate as the monkey, since they are of equal mass.
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Of course, observe that the above summary holds for the case where the milk pot is allowed to acclimate; just treat the pot as of infinite size.
An early calculus homework problem is to compute that the temperature of the coffee decays exponentially with time
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