The size P of a certain insect population at time t (in days) obeys the function p(t)=300e^0.01t A) What is the growth rate of the insectpopulation? (b) What is the population after 10 days? d) When will the insect population reach 510 ? (e) When will the insect population double?

The size P of a certain insect population at time t (in days) obeys the function p(t)=300e^0.01t A) What is the growth rate of the insectpopulation? (b) What is the population after 10 days? d) When will the insect population reach 510 ? (e) When will the insect population double?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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The size P of a certain insect population at time t (in days) obeys the function p(t)=300e^0.01t

A) What is the growth rate of the insectpopulation?

(b) What is the population after 10 days?

d) When will the insect population reach 510 ?

(e) When will the insect population double?

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