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Stitz-Zeager_College_Algebra_e-book

# 4 with 4 a 41p and vertex 0 0 we know from previous

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Unformatted text preview: this situation, we know the physical limit of the temperature of the coﬀee is room temperature,11 and the diﬀerential equation which gives rise to our formula for T (t) takes this into account. Whereas the radioactive decay 10 The time it takes for half of the substance to decay. The Second Law of Thermodynamics states that heat can spontaneously ﬂow from a hotter object to a colder one, but not the other way around. Thus, the coﬀee could not continue to release heat into the air so as to cool below room temperature. 11 6.5 Applications of Exponential and Logarithmic Functions 383 model had a rate of decay at time t directly proportional to the amount of the element which remained at time t, Newton’s Law of Cooling states that the rate of cooling of the coﬀee at a given time t is directly proportional to how much of a temperature gap exists between the coﬀee at time t and room temperature, not the temperature of the coﬀee itself. In other words, the coﬀee cools faster when it is ﬁrst s...
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