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Section 5.4 (cont.)
3) The rate of change of the length of the average hospital stay between 1980 and 1996 can be
modeled by the equation
where
t
is the number of years
st
t
days per year when
t
t
days per year when
t
()
..
..
=
−≤
<
−+
≤
≤
0028
023
0
10
0 0408
0 30833
10
16
since 1980.
Determine the values of the following definite integrals and interpret your answers.
a)
std
t
()
0
10
∫
b)
std
t
()
10
16
∫
c)
std
t
()
0
16
∫
4) Many businesses spend money each year on advertising in order to stimulate sales of their
products. The data given in the table show the approximate increase in sales (in thousands of
dollars) that an additional $100 spent on advertising, at various levels, can be expected to
generate.
a) Find a model for these data.
b) Use the model in part
a
to
determine a model for the total
sales revenue as a function of the
amount
x
spent on advertising.
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This note was uploaded on 05/28/2011 for the course MAC 2233 taught by Professor Royer during the Fall '08 term at FIU.
 Fall '08
 Royer
 Calculus, Rate Of Change

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