Just question 6 please A third wave SARS-COV-2 variant virus has evolved and is spreading in a small town York with apopulation of 13 070 people. Initially, only one adult had the virus. Suppose that the rate at which thepeople of York contract the virus is directly proportional to the size of the population P(t). Let P(t)denote the number of people who have the virus after t days.(i) Write down the differential equation and the solution of P(t) in terms of the initial value P(0).(ii) After 3 days, 15 people have the virus. How many people will have the virus after 7 days?(iii) Plot the phase line of the model.(iv) Find the rate of change of P at t = 0, t = 3 and t = 7. (Remember that the rate of change is thederivative!)(v) Use the information above to plot the solution curve P(t) as a function of time.(vi) What does the model predict in the long run?

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Description: Just question 6 please A third wave SARS-COV-2 variant virus has evolved and is spreading in a small town York with apopulation of 13 070 people. Initially, only one adult had the virus. Suppose that the rate at which thepeople of York contract the v

The model can be used to predict the number of days required to infect the entire town.

Answered: What does the model predict in the long…

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Advanced Math

What does the model predict in the long run?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Just question 6 please

A third wave SARS-COV-2 variant virus has evolved and is spreading in a small town York with a
population of 13 070 people. Initially, only one adult had the virus. Suppose that the rate at which the
people of York contract the virus is directly proportional to the size of the population P(t). Let P(t)
denote the number of people who have the virus after t days.
(i) Write down the differential equation and the solution of P(t) in terms of the initial value P(0).
(ii) After 3 days, 15 people have the virus. How many people will have the virus after 7 days?
(iii) Plot the phase line of the model.
(iv) Find the rate of change of P at t = 0, t = 3 and t = 7. (Remember that the rate of change is the
derivative!)
(v) Use the information above to plot the solution curve P(t) as a function of time.
(vi) What does the model predict in the long run?

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