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Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved Section 1.7 Exponential Growth and Decay.

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Presentation on theme: "Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved Section 1.7 Exponential Growth and Decay."— Presentation transcript:

1 Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved Section 1.7 Exponential Growth and Decay

2 Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved For a growth rate of 8% compounded annually, what is the doubling time? For a growth rate of 8% compounded monthly, what is the doubling time? For a growth rate of 8% compounded continuously, what is the doubling time?

3 Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved The half-life of nicotine in the blood is 2 hours. A person absorbs 0.4 mg of nicotine by smoking a cigarette. Fill in the following table with the amount of nicotine remaining in the blood after t hours. t (hours)0246810 Nicotine (mg)0.4 0.20.1 0.05 0.0250.0125 Estimate when the amount of nicotine is reduced to 0.04 mg. What is the decay rate?

4 ConcepTest Section 1.7 Question 10 Estimate the half-life for the exponential decay shown in Figure 1.9. Figure 1.9 3

5 By Wednesday … Complete 1.5-7 HW Complete Lab 01 Read 1.8 Applied Calculus,4/E, Deborah Hughes- Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved


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