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Module 3 Problem Set Answer the following as detailed as possible. 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?

Module 3 Problem Set Answer the following as detailed as possible. 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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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11:01 ¢ O Module 3 Pr.et Template Module 3 Problem Set Answer the following as detailed as possible. 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 Ib of salt dissolved in 20 gal of water. The 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 - co ). w is 20 3. Use the Greedy and Edge-Picking algorithms to find the Hamiltonian cycle with the least total weight in the complete graph shown below. 57 25 75 65 21 50 55
Transcribed Image Text:11:01 ¢ O Module 3 Pr.et Template Module 3 Problem Set Answer the following as detailed as possible. 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 Ib of salt dissolved in 20 gal of water. The 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 - co ). w is 20 3. Use the Greedy and Edge-Picking algorithms to find the Hamiltonian cycle with the least total weight in the complete graph shown below. 57 25 75 65 21 50 55
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