3HQuestion 2The total number of reported cases of an illness in a large city t days after the start of an outbreak is modeled by the function y = F (t) that is a solution to the logistic differential equation5600 (1400-y). If there are 5 reported cases of the illness initially, what is the limiting value for the total number of reported cases of the illness as t increases?dy1dt1ABD7003140028005600Type here to search.@2F23♫₁F3O4D$4F43'DII%5F5OF66%F7O&7PrtScnFB8HomeF924°FEndF10DPgUp,F114x<PgOn 1212:22/24O

We'll compare the given equation with logistic eq. Thank you

Answered: The total number of reported cases of…

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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The total expenditures (in millions) of current dollars for pollution abatement and control during the poriod from 2000 through 2019 can be approximatod by the function P(x) = 175.17 e008x, where x0 corresponds to the year 2000. (a) In what year would the total expenditures reach $209 million dollars? (b) If this model remains accurate, when would the total expenditures reach $481 million?
The population of an aquatic species in a certain body of water is approximated by the logistic function 37,500 where t is measured in years. Find G(t) = = ,-0.56t' the population and its growth rate at the following times. a. 1 year b. 5 years c. 12 years d. What happens to the rate of growth over time? 1 + 12e The population in 1 year is 4774 . (Round to the nearest whole number.) The population in 5 years is 21680. (Round to the nearest whole number.) The population in 12 years is 36965. (Round to the nearest whole number.) The growth rate in 1 year is per year. (Round to the nearest whole number.)
A study of Maryland's portion of Chesapeake Bay found the following information about stocks of market-sized oysters.† In 1994, the stocks were 218 million. (This is the number you will use for the initial population N(0).) The carrying capacity is 5089 million oysters. The intrinsic exponential growth rate is 0.274 per year. (a) Find a logistic model N(t) for the number, in millions, of market-sized oysters. Take t to be the time in years since 1994. (Rround all regression parameters to three decimal places.) N(t) = (b) Plot the graph of the model you found in part (a) over the first 20 years. (c) How many market-sized oysters does your model predict for 2007? Round your answer, in millions, to the nearest whole number. million oysters (d) The actual number of market-sized oysters was found to be 82 million. Use the Internet to find possible explanations for the reduced levels of oysters in Chesapeake Bay.
The population, P, of kangaroos in a reservation is modelled by the logistic dP equation = dt 2P (5- reservation. - P 10 000 ) where t is measured in days. It is estimated that initially the population of the kangaroos is 15% of the carrying capacity of the (i) What is the initial population of the kangaroos? (ii) What is the population of the kangaroos when the rate of increase is a maximum?
Please help
Differentiate. 10) y = 7X 11) y = 14-X 12) y = log4(2x)

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