Q1. If the growth rate of the number of virus infection at any time t is proportional to the number ofinfected people present at t and doubles in 1 week, how many people can be expected to be infectedafter 2 weeks? After 10 weeks? Assume the number of people infected by a virus at time t = 0 is 50.

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Answered: Q1. If the growth rate of the number of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The number of cases within 3 days due to coronavirus is as follows: 21 May 2020: 961 New Case 22 May 2020: 952 New Case 23 May 2020: 1186 New Case 1a) Calculate the growth rate according to this information and express this variable as X = Aert. 2a) Using the answer 1a, Make a prediction for the previous and next day of the end date you use in your calculations.
6. The initial population of a town was 12000. After 5 years the population increased to 38000 people. /6a 1c a) Express the population growth as an exponential function of time (in years) in the form A = Aoekt.
The initial population size of rock ptarmigans in an area is 500 ptarmigans. The growth rate is 0.2 and the carrying capacity is 8000 ptarmigans. The authorities in the area have announced that it is possible to start hunting in the area when the size of the population has reached 5000 ptarmigans. Assume that time is measured in years. After how many years can a ptarmigan be allowed to hunt in the area if we assume that the population size is in accordance with the logistic equation? )?
3. There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. What is the growth rate for the bacteria?
Suppose a species of fish in a particular lake has a population that is modeled bythe logistic population model with growth rate k, carrying capacity N, and time tmeasured in years. Adjust the model to account for each of the following situations. * One hundred fish are harvested each year.* One-third of the fish population is harvested annually.* The number of fish harvested each year is proportional to the square root of thenumber of fish in the lake. I was hoping to compare my answer to yours because I am a little confused if I did it right. Thank you for your time and effort.
Suppose that a population in a particular city is 46,581 in 2010. What is the population after 15 years with a growth rate of 3%?
A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are100 milligrams of the material present and if after two years it is observed that 5 percent of the original mass has decayed, find (a) an expression for the mass at any time t and (b) the time necessary for 10 percent of the original mass to have decayed.
If we have a formula giving the cholesterol level of a patient as a functionof time, how can we find the average cholesterol level over a certainperiod of time?

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