A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students (1I) with respect to time is directly proportional to the number of infected students (1) and also directly proportional to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the following: A. The value of C in four decimal places Answer: B. If k = 0.01, how many students are infected after 3 days? (Round off your answer in nearest integer) Answer: C. If k = 0.01, how many students are infected after 6 days? (Round off your answer in nearest integer) Answer:

A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students (1I) with respect to time is directly proportional to the number of infected students (1) and also directly proportional to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the following: A. The value of C in four decimal places Answer: B. If k = 0.01, how many students are infected after 3 days? (Round off your answer in nearest integer) Answer: C. If k = 0.01, how many students are infected after 6 days? (Round off your answer in nearest integer) Answer:

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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