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Published byCuthbert Holland Modified over 9 years ago
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Exponential Growth and Decay Newton’s Law Logistic Growth and Decay
Section 6
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Objectives Find equations of populations that obey the law of uninhibited growth Find equations of populations that obey the law of decay Use Newton’s Law of Cooling Use logistic models
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A0: original amount at t = 0 k: constant t: time A: current amount If k > 0, exponential growth occurs If k < 0, exponential decay occurs
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Newton’s Law of Cooling
T: constant temperature of the surrounding medium u0: initial temperature of the heated object u(t): temperature at time t
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Logistic Model Illustrates where growth/decay is limited
c: carrying capacity (horizontal asymptote) b: growth/decay rate
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Pages (5, 7, 9, 11, 19, 23)
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