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)