1. If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After 1 day, the population of bacteria is 1.25 times the original number. Within what interval of time will the number of bacteria (a) double? (b) triple? 2. The tank shown below contains 80 Ibs of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find the time when the salt content y(t) in the tank reaches 95% of its limiting value (as t → o ).
1. If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After 1 day, the population of bacteria is 1.25 times the original number. Within what interval of time will the number of bacteria (a) double? (b) triple? 2. The tank shown below contains 80 Ibs of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find the time when the salt content y(t) in the tank reaches 95% of its limiting value (as t → o ).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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