There once was a small paramecium. This paramecium was brave, and it left its home on...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
There once was a small paramecium. This paramecium was brave, and it left its home on a journey to find the Promised Land! For you see, this paramecium had grown up learning from its elders about the existence of a land full of space and resources, where a young paramecium can grow at a rate proportional to the size of the population. Now, our young paramecium seeks this land for it and all of its kind to grow at an unlimited rate. (a) Write a differential equation that would describe the paramecium's growth. (Note: we're not looking for a solution yet, just the differential equation.) (b) If this young paramecium finds its way to the Promised Land, it will begin consuming resources at a massive rate, enough for the paramecium to eventually split itself into two! Suppose after 5 hours, there are now 32 paramecia in the Promised Land. Based on this information, solve for the constant of proportionality k and write a model that will give the total number of paramecia after t hours. (c) Does it make sense that a true "Promised Land" would exist for the paramecium? Why or why not? There once was a small paramecium. This paramecium was brave, and it left its home on a journey to find the Promised Land! For you see, this paramecium had grown up learning from its elders about the existence of a land full of space and resources, where a young paramecium can grow at a rate proportional to the size of the population. Now, our young paramecium seeks this land for it and all of its kind to grow at an unlimited rate. (a) Write a differential equation that would describe the paramecium's growth. (Note: we're not looking for a solution yet, just the differential equation.) (b) If this young paramecium finds its way to the Promised Land, it will begin consuming resources at a massive rate, enough for the paramecium to eventually split itself into two! Suppose after 5 hours, there are now 32 paramecia in the Promised Land. Based on this information, solve for the constant of proportionality k and write a model that will give the total number of paramecia after t hours. (c) Does it make sense that a true "Promised Land" would exist for the paramecium? Why or why not?
Expert Answer:
Answer rating: 100% (QA)
a The growth of the paramecium can be modeled using the exponential growth equation dNdt kN where N ... View the full answer
Related Book For
Fraud examination
ISBN: 978-0538470841
4th edition
Authors: Steve Albrecht, Chad Albrecht, Conan Albrecht, Mark zimbelma
Posted Date:
Students also viewed these mathematics questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Read the case study "Southwest Airlines," found in Part 2 of your textbook. Review the "Guide to Case Analysis" found on pp. CA1 - CA11 of your textbook. (This guide follows the last case in the...
-
The Crazy Eddie fraud may appear smaller and gentler than the massive billion-dollar frauds exposed in recent times, such as Bernie Madoffs Ponzi scheme, frauds in the subprime mortgage market, the...
-
Given the following table of assets held at death, how much is the probate estate worth? Asset Value (millions) Notes Investments $7 Retirement Account $6 Named Beneficiary Residence $4 Joint Tenancy...
-
The Sarbanes-Oxley Act mandates that the audit committee of the board of directors of public companies be directly responsible for the appointment, compensations, and oversight of the external...
-
Consider the following capital rationing problem: Set up this problem as a linear program. NPV Project Co C2 -10,000 -10,000 +6,700 +9,000 -20,000 +5,000 +5,000 +5,000 +5,000 +4,000 -15,000 -1,500...
-
The following are speeds (mi/h) of cars measured with a radar gun on the New Jersey Turnpike based on data from Statlib and authors Joseph Kadane and John Lamberth. 70 70 71 72 72 73 73 74 76 77 78...
-
You are an IT consultant, and you are asked to create a new system for a small real estate brokerage firm. Your only experience is with traditional data and process modeling techniques. This time,...
-
What are the key points in Ethics Opinion CAL 2012-184: Virtual Law Office. Please explain the Facts, Issue, Rules of Law, Application and Analysis and the Conclusion.
-
Holly wants to explore the difference between buying and leasing a vehicle, both over 5 years with monthly payments. The car that she has an interest in has a value of $27000, and is located in...
-
50) Which of the following is a liability account? A) Unearned Revenue C) Service Revenue B) Accounts Receivable D) Building
-
Calculating Fees on a Loan Commitment You have approached your local bank for a start-up loan commitment for $1,060,000 needed to open a car repair store. You have requested that the term of the loan...
-
Marigold Corp. had the following assets and liabilities on the dates indicated. December 31 Total Assets Total Liabilities 2021 $454,000 $281,000 2022 $534,000 $331,000 2023 $664,000 $431,000...
-
Consider a market model with three assets: two risky assets (#1 and #2) and one risk-free asset (#3). The risk-free rate of interest is r=3%. The parameters of the risky returns are as follows: =...
-
Use the following information to answer the question(s) below. Suppose that all stocks can be grouped into two mutually exclusive portfolios (with each stock appearing in only one portfolio): growth...
-
BHP is currently trading at $43/share and has announced a $0.95 dividend in 2months' time. European call options for BHP expiring in 5 months a with strike price of $45 were trading at $3. The...
-
There are two firms. One is a firm that exports most of its products and uses raw materials produced in Turkey. The second firm sells most of its products in Turkey and most of its raw materials come...
-
How has the too-big-to-fail policy been limited in the FDICIA legislation? How might limiting the too-big-to-fail policy help reduce the risk of a future banking crisis?
-
Bill and Sue were college students when they met each other in the library and began dating. After a few short months, they decided to get married. After a time of marital bliss, both Bill and Sue...
-
Read the article entitled Following Benfords Law, or Looking Out for No. 1 found at www.rexswain. com/benford.html. The article mentions that a statistics professor can easily discern if students...
-
What are some of the most common ways that fraud perpetrators conceal and transfer assets or income during bankruptcy and divorces?
-
A circular shaft of radius \(r\) in the figure has a moment of inertia \(I\) and polar moment of inertia \(J\). The shaft is under torsion \(T_{z}\) in the positive zaxis and bending moment \(M_{x}\)...
-
A 20mm diameter rod made of a ductile material with a yield strength of \(350 \mathrm{MPa}\) is subject to a torque of \(T=100 \mathrm{~N} \cdot \mathrm{m}\) and a bending moment of \(M=150...
-
The figure below shows a round shaft of diameter \(1.5 \mathrm{in}\). loaded by a bending moment \(M_{z}\) \(=5,000 \mathrm{lb} \cdot\) in., a torque \(T=8,000 \mathrm{lb} . \cdot\) in., and an axial...
Study smarter with the SolutionInn App