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Project 14
MAC 2311
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1. A sociologist determines that the percentage of our MAC 2311 class that
has heard a rumor about the next exam
t
days after the rumor begins to
circulate (
t
= 0) is given by
R
(
t
) =
100
t
2
20 +
t
+
t
2
What is the domain of
R
(
t
) in this context?
Calculate
R
(0) and lim
t
→∞
R
(
t
). Do your answers make sense in this context?
Calculate
dR
dt
, simplify, and factor if possible.
What is the rate of change of
R
(
t
) with respect to
t
at present? Include
units.
What percentage of the class has heard the rumor after one day? What is
the rate of change of
R
(
t
) with respect to
t
at that time? (Include units
with your answers—round to the nearest tenth.)
1
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View Full DocumentHow many days does it take for forty percent of the class to hear the rumor?
What is the rate of change of
R
(
t
) with respect to
t
at this time? (Include
units with your answer.)
How many days does it take for ﬁfty percent of the class to hear the rumor?
What is the rate of change of
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 Fall '08
 ALL
 Calculus

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