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| PAGE: 360 | SET: Exercises | PROBLEM: 93 |
A meteorologist measures the atmospheric pressure 
at altitude 
.
(a) Plot the points 
and use the regression capabilities of the graphing utility to find a linear model for the revised data points.
Construct a table with and values to calculate 
values.
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Graph:
Plot the points 
.
Using regression capabilities graph the points.
Observe the graph:
The linear model equation is 
.
(b)
The linear model equation is 
.
Exponentiate each side.
The exponential model equation is 
.
(c) Graph the function: 
.
Plot the points 
.
Graph:
(d)
Pressure 
Apply derivative on each side with respect to .
.
When 
.
.
.
When height 
then rate of change of Pressure is 
.
When 
.
.
.
When height 
then rate of change of Pressure is 
.
(a) Graph:
The linear model equation is .
(b) The exponential equation is .
(c) Graph:
.
(d)
When height 
then rate of change of Pressure is 
.
When height then rate of change of Pressure is 
.
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