margin of error). The computer provides you with information about the population of the bacteria, which follow an exponential model, shown below. In this model, P is the population of bacteria (total count, measured in millions) and t is the time measured in minutes. The population will grow based on this model once a light source is provided and stop immediately once the light source is removed. P(t) = 5et/4 = Your computer continues with a note from the files that the alien civilization performed these calculations on the linearization of P (t). Therefore, you will need to linearize P (t) and then use that model to determine when to remove the light source to have 5.155 million bacteria. Your linearization should be around t = 0, since this is the time when the light source is switched on. L (t) = Using this linearization, after how many minutes (to three decimal places) will you turn off the light to generate a population of 5.155 million bacteria? t = Number minutes Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain

margin of error). The computer provides you with information about the population of the bacteria, which follow an exponential model, shown below. In this model, P is the population of bacteria (total count, measured in millions) and t is the time measured in minutes. The population will grow based on this model once a light source is provided and stop immediately once the light source is removed. P(t) = 5et/4 = Your computer continues with a note from the files that the alien civilization performed these calculations on the linearization of P (t). Therefore, you will need to linearize P (t) and then use that model to determine when to remove the light source to have 5.155 million bacteria. Your linearization should be around t = 0, since this is the time when the light source is switched on. L (t) = Using this linearization, after how many minutes (to three decimal places) will you turn off the light to generate a population of 5.155 million bacteria? t = Number minutes Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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