Concept explainers
Modeling Data The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is one atmosphere (1.033227 kilograms per square centimeter). The table shows the pressures p (in atmospheres) at selected altitudes h (in kilometers).
h |
0 |
5 |
10 |
15 |
20 |
25 |
P |
1 |
0.55 |
0.25 |
0.12 |
0.06 |
0.02 |
(a) Use a graphing utility to find a model of the form
(b) Use a graphing utility to find the logarithmic model
(c) Use a graphing utility to plot the data and graph the model from part (b).
(d) Use the model to estimate the altitude when
(e) Use the model to estimate the pressure when
(f) Use the model to find the rates of change of pressure when
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Chapter 5 Solutions
Calculus
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