Answered: (a) Find an expression for the number…

(a) Find an expression for the number of bacteria after t hours (b) Find the number of bacteria after 2 hours. (Round your answer to the nearest whole number.)

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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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.

Question

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 470.

(a) Find an expression for the number of bacteria after t hours

(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest whole number.)

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