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Exponential Growth and Decay Newton’s Law Logistic Growth and Decay

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Presentation on theme: "Exponential Growth and Decay Newton’s Law Logistic Growth and Decay"— Presentation transcript:

1 Exponential Growth and Decay Newton’s Law Logistic Growth and Decay
Section 6

2 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

3 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

4 Page 553 #1

5 Page 553 #3

6 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

7 Page 554 #13

8 Logistic Model Illustrates where growth/decay is limited
c: carrying capacity (horizontal asymptote) b: growth/decay rate

9 Page 555 #21

10 Pages (5, 7, 9, 11, 19, 23)


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