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

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Presentation transcript:

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

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

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

Page 553 #1

Page 553 #3

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

Page 554 #13

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

Page 555 #21

Pages 553-555 (5, 7, 9, 11, 19, 23)