A model for a certain population P(t) is given by the initial value problem dP P(10¬4 – 10-11 P), P(0) = 500000, dt = where t is measured in months. (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one fifth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.)

A model for a certain population P(t) is given by the initial value problem dP P(10¬4 – 10-11 P), P(0) = 500000, dt = where t is measured in months. (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one fifth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 33EQ

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