The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e0.06t (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 340? (e) When will the insect population double? (a) What is the number of insects at t=0 days? insects (b) What is the growth rate of the insect population? % (c) What is the population after 10 days? Approximately insects. (Do not round until the final answer. Then round to the nearest whole number as needed.) (d) When will the population reach 340 insects? In approximately days. (Do not round until the final answer. Then round to the nearest tenth as needed.) (e) When will the insect population double? In about days. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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0.06t
The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e
(a) Determine the number of insects at t=0 days.
(b) What is the growth rate of the insect population?
(c) What is the population after 10 days?
(d) When will the insect population reach 340?
(e) When will the insect population double?
(a) What is the number of insects at t= 0 days?
insects
(b) What is the growth rate of the insect population?
%
(c) What is the population after 10 days?
Approximately insects.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
(d) When will the population reach 340 insects?
In approximately days.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
(e) When will the insect population double?
In about days.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
C)
Transcribed Image Text:0.06t The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 340? (e) When will the insect population double? (a) What is the number of insects at t= 0 days? insects (b) What is the growth rate of the insect population? % (c) What is the population after 10 days? Approximately insects. (Do not round until the final answer. Then round to the nearest whole number as needed.) (d) When will the population reach 340 insects? In approximately days. (Do not round until the final answer. Then round to the nearest tenth as needed.) (e) When will the insect population double? In about days. (Do not round until the final answer. Then round to the nearest tenth as needed.) C)
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