Project 14
MAC 2311
YOU MUST SHOW YOUR WORK TO RECEIVE FULL CREDIT!!
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
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
How 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?
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 ALL
 Calculus, bear population, Include units

Click to edit the document details