The population (in hundreds) of a certain type of ant in one region of the world is given by P(t) = (t + 104) ln(t + 2.3), where t represents time in days. Answer the following questions. Round your answers to integers. (a) Find the rate of change in the population after 3 days: ants per day (b) Find the rate of change in the population after 6 days: ants per day (c) Find the rate of change in the population after 11 days: ants per day (d) What is happening to the rate of change in the population as the number of days increases? O It is increasing without bound O It is decreasing and approaching 0 It is decreasing without bound O It is increasing and approaching 0 (e) Will the rate of change of the population ever be 0? Yes No
The population (in hundreds) of a certain type of ant in one region of the world is given by P(t) = (t + 104) ln(t + 2.3), where t represents time in days. Answer the following questions. Round your answers to integers. (a) Find the rate of change in the population after 3 days: ants per day (b) Find the rate of change in the population after 6 days: ants per day (c) Find the rate of change in the population after 11 days: ants per day (d) What is happening to the rate of change in the population as the number of days increases? O It is increasing without bound O It is decreasing and approaching 0 It is decreasing without bound O It is increasing and approaching 0 (e) Will the rate of change of the population ever be 0? Yes No
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The population (in hundreds) of a certain type of ant in one region of the world is given by
P(t) = (t + 104) ln(t + 2.3),
where t represents time in days.
Answer the following questions. Round your answers to integers.
(a) Find the rate of change in the population after 3 days:
ants per day
(b) Find the rate of change in the population after 6 days:
ants per day
(c) Find the rate of change in the population after 11 days:
ants per day
(d) What is happening to the rate of change in the population as the number of days increases?
O It is increasing without bound
It is decreasing and approaching 0
It is decreasing without bound
It is increasing and approaching 0
(e) Will the rate of change of the population ever be 0?
Yes
O No
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