Objective 2.6
The graph above/below shows the Total Revenue,
r
(
t
)
\displaystyle {r}{\left({t}\right)}
r
(
t
)
, for the Boeing Corporation from 1990 to 2002.
Also shown is the revenue that Boeing made just from sales of its 737 airplane,
a
(
t
)
\displaystyle {a}{\left({t}\right)}
a
(
t
)
.
A. Based on the graphs shown
r
(
t
)
−
a
(
t
)
\displaystyle {r}{\left({t}\right)}-{a}{\left({t}\right)}
r
(
t
)
−
a
(
t
)
is
Select an answer
Decreasing
Increasing, then decreasing
Decreasing, then increasing
Increasing
B. Based on the graphs shown
r
′
(
t
)
−
a
′
(
t
)
\displaystyle {r}'{\left({t}\right)}-{a}'{\left({t}\right)}
r
′
(
t
)
−
a
′
(
t
)
is
[hint:
r
′
(
t
)
−
a
′
(
t
)
=
(
r
(
t
)
−
a
(
t
)
)
′
\displaystyle {r}'{\left({t}\right)}-{a}'{\left({t}\right)}={\left({r}{\left({t}\right)}-{a}{\left({t}\right)}\right)}'
r
′
(
t
)
−
a
′
(
t
)
=
(
r
(
t
)
−
a
(
t
)
)
′
]
Select an answer
Positive
Negative, then positive
Negative
Positive, then negative
C. What does the function
r
′
(
t
)
−
a
′
(
t
)
\displaystyle {r}'{\left({t}\right)}-{a}'{\left({t}\right)}
r
′
(
t
)
−
a
′
(
t
)
measure?
D.
r
′
(
4
)
−
a
′
(
4
)
=
0
\displaystyle {r}^{'}{\left({4}\right)}-{a}^{'}{\left({4}\right)}={0}
r
′
(
4
)
−
a
′
(
4
)
=
0
. Interpret what this means.
[hint: think
(
r
(
t
)
−
a
(
t
)
)
′
=
0
\displaystyle {\left({r}{\left({t}\right)}-{a}{\left({t}\right)}\right)}'={0}
(
r
(
t
)
−
a
(
t
)
)
′
=
0
and what is happening to a function when its derivative is zero?]
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