The size P of a certain insect population at time t​ (in days) obeys the function P(t)=400e0.07t. ​(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 480? ​(e) When will the insect population​ double? 2.) The size P of a certain insect population at time t​ (in days) obeys the function P(t)=200e0.09t. ​(a) Determine the number of insects at t=0 days. ​(b) What is the growth rate of the insect​ population?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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1.) The size P of a certain insect population at time t​ (in days) obeys the function P(t)=400e0.07t.
​(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 480?
​(e) When will the insect population​ double?
2.) The size P of a certain insect population at time t​ (in days) obeys the function P(t)=200e0.09t.
​(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 260?
​(e) When will the insect population​ double?
 
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