The following are stated.(a)A certain bacterium is known to grow according to the Malthusian model,doubling itself every 4 hours. Find the reproductive rate.(b) (Now assume that an initial Po population of bacteria grows at a rater, andh individuals are harvested every hour. Write the mathematical model for this situationand solve it.(c) (9Discuss the faith of the population over the long run (i.e. t- 0) based ontl. onships that can exist between Po, r, h.(d)At what minimal rate can the population be harvested such that the containerwill not be overwhelmed with bacteria? [Hint: Use your answers in part (c).]

Answered: Image /qna-images/answer/5c86c379-a24c-4684-bf90-5735c334ebd9.jpg

Answered: The following are stated. (a) A certain…

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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A population of beetles are growing according to a linear growth model. The initial population (week 0) is �0=4, and the population after 4 weeks is �4=16.Find an explicit formula for the beetle population after � weeks.�� = After how many weeks will the beetle population reach 64? weeks
Good news: in 2022, the quokka population of Rottnest Island is increasing. The population numbered 4000 at the beginning of 2022, and after two months, the population had increased to 16000. Scientists believe that the population follows an exponential growth model. Which of the following models best describes the population of quokkas? P(t) = 4000e kt where k = In 2. P(t) = 4000e kt where k = In 4 P(t) = 4000ekt where k = In 4. P(t) = 4ekt where k = In 2. P(t) = 4000ekt where k = In 2. P(t) = 4e. P(t) = 4000ekt where k = – In 2.
a) Logistically, the growth of Mrs. Fields cookies in different states is closely modeled after this: 19440 P(t) = 1 + 485 e -0.4444t P(t) is number of U.S. cities with a Mrs. Fields cookie storet years after the year 2000, and t is time in years after the year 2000. Use this logistic model to find the number of cities that had a Mrs. Fields cookie store in the year 2000, when they first opened. U.S. cities in the year 2000. b) How many U.S. cities had a Mrs. Fields cookie store in the year 2015. (round to the nearest whole number) U.S. cities in the year 2015.
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This exercise uses the population growth model. It is observed that a certain bacteria culture has a relative growth rate of 11% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 24. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 11%.bacteria (b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.bacteria
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