Scientific Research: 1983–2003 The percentage of research articles in the prominent journal Physical Review written by researchers in the United States during 1983–2003 can be modeled by A ( t ) = 36 1 + 0.6 ( 0.7 ) − t , where t is time in years ( t = 0 represents1983).7 Numerically estimate lim A t → + ∞ ( t ) , , and interpret the answer.
Scientific Research: 1983–2003 The percentage of research articles in the prominent journal Physical Review written by researchers in the United States during 1983–2003 can be modeled by A ( t ) = 36 1 + 0.6 ( 0.7 ) − t , where t is time in years ( t = 0 represents1983).7 Numerically estimate lim A t → + ∞ ( t ) , , and interpret the answer.
Solution Summary: The author calculates the value of undersettto +inftymathrmlimA(t-), where t is the time in years since
Scientific Research: 1983–2003 The percentage of research articles in the prominent journal Physical Review written by researchers in the United States during 1983–2003 can be modeled by
A
(
t
)
=
36
1
+
0.6
(
0.7
)
−
t
,
where t is time in years (
t
=
0
represents1983).7 Numerically estimate
lim
A
t
→
+
∞
(
t
)
,
, and interpret the answer.
2. (5 points) Let f(x) =
=
-
-
- x² − 3x+7. Find the local minimum and maximum point(s)
of f(x), and write them in the form (a, b), specifying whether each point is a minimum
or maximum. Coordinates should be kept in fractions.
Additionally, provide in your answer if f(x) has an absolute minimum or maximum
over its entire domain with their corresponding values. Otherwise, state that there is no
absolute maximum or minimum. As a reminder, ∞ and -∞ are not considered absolute
maxima and minima respectively.
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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