Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved Section 1.6 The Natural Logarithm.

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Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved Section 1.6 The Natural Logarithm

Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved Figure 1.63: The natural logarithm function climbs very slowly.

Applied Calculus,4/E, Deborah Hughes-Hallett Copyright 2010 by John Wiley and Sons, All Rights Reserved

ConcepTest Section 1.6 Question 5 Converting the function P = 100(1.07) t to the form P = P 0 e kt gives (a) P = 100e 1.07t (b) P = 100e 0.07t (c) P = 100e t (d) P = 100e t (e) P = 100e 0.93t

ConcepTest Section 1.6 Question 6 Converting the function P = 750e 0.04t to the form P = P 0 a t gives (a) P = 750(1.04) t (b) P = 750(0.04) t (c) P = 750(1.0408) t (d) P = 750(0.0408) t (e) P = 750(0.96) t

ConcepTest Section 1.6 Question 8 The solution to 200 = 30e 0.15t is:

ConcepTest Section 1.6 Question 17 Solve for x if y = e + 2 x.

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

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?

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) Nicotine (mg) Estimate when the amount of nicotine is reduced to 0.04 mg. What is the decay rate?

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

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