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1000 A news item is spread by word of mouth. The number of people who have...
(1 point) Suppose that news spreads through a city of fixed size of 800000 people at...
(1 point) Suppose that news spreads through a city of fixed size
of 800000 people at a time rate proportional to the number of
people who have not heard the news.
(a.) Formulate a differential equation and initial condition for
?(?), the number of people who have heard the news ?t days after it
has happened.
No one has heard the news at first, so ?(0)=0. The "time rate of
increase in the number of people who have heard the...
One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumo...
One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. (a) Write a differential equation that is satisfied by y. (Use k for the constant of proportionality.) dy (b) Solve the differential equation. Assume y(o) (c) A small town has 2100 inhabitants. At 8 AM, 100 people have heard a...
Use logistic growth method One day on a college campus, when 10,000 people were in attendance,...
Use logistic growth method
One day on a college campus, when 10,000 people were in attendance, a particular student heard that a certain controversial speaker was going to make an unscheduled appearance. This information was told to friends who in turn related it to others, and the rate of growth of the spread of this information was jointly proportional to the number of people who heard it and the number of people who had not heard it. (a) If after...
The equation N(t) = 1100 1 + 195eā0.625t models the number of people in a school...
The equation N(t) = 1100 1 + 195eā0.625t models the number of people in a school who have heard a rumor after t days. To the nearest tenth, how many days will it be before the rumor spreads to half the carrying capacity?
In the meeting, the date of a future ceremony was first set, and the attendees were A meeting of ...
In the meeting, the date of a future ceremony was first set, and the attendees were A meeting of the elders was held in a village in the early 1400's instructed to spread the date to their fellow villagers In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony 24 16 275 418 1012 2079 2530 2629 2695 Use...
A certain community consists of 1700 people, and one individual has a particularly contagious strain of...
A certain community consists of 1700 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 1700 1 + 1699 -0.35 where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 14 days? Round your answer to the nearest whole number. people...
A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a ...
A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a future ceremony was first set, and the attendees were instructed to spread the date to their fellow villagers. In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony. 28 1225 24 1195 21 1150 16 945 460 190...
Let P(t) represent the number of people who, at time t, are infected with a certain disease. Let ...
Let P(t) represent the number of people who, at time t, are infected with a certain disease. Let N denote the total number of people in the population. Assume that the spread of the disease can be modeled by the initial value problem: dP/dt = k(N ā P)P, P(0) = P0. At time t = 0, when 100,000 member of a population of 500,000 are known to be infected, medical authorities intervene with medical treatment. As a consequence of this...
In 2012 there were 11.4 million people aged 26-34 who did not have health insurance. In...
In 2012 there were 11.4 million people aged 26-34 who did not have health insurance. In 2013 that number decreased by 21.9%. How many people aged 26-34 did not have health insurance in 2013? (Answer in millions and round to one decimal place.)
I am really confused as to how I can even approach this differential equation, I really need a step by step solution. Thanks!! 406 Chapter 5 Differential Equations 5 Performance Task Spread of an Infl...
I am really confused as to how I can even approach this
differential equation, I really need a step by step solution.
Thanks!!
406 Chapter 5 Differential Equations 5 Performance Task Spread of an Influenza Virus Throughout history, influenza viruses have caused pandemics or global epidemics. The influenza pandemic of 1918-1919 occurred in three waves. The first wave occurred in the late spring and summer of 1918, the second wave occurred in the fall of 1918, and the final wave...
(1 point) Suppose that news spreads through a city of fixed size
of 800000 people at a time rate proportional to the number of
people who have not heard the news.
(a.) Formulate a differential equation and initial condition for
?(?), the number of people who have heard the news ?t days after it
has happened.
No one has heard the news at first, so ?(0)=0. The "time rate of
increase in the number of people who have heard the...
One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. (a) Write a differential equation that is satisfied by y. (Use k for the constant of proportionality.) dy (b) Solve the differential equation. Assume y(o) (c) A small town has 2100 inhabitants. At 8 AM, 100 people have heard a...
Use logistic growth method
One day on a college campus, when 10,000 people were in attendance, a particular student heard that a certain controversial speaker was going to make an unscheduled appearance. This information was told to friends who in turn related it to others, and the rate of growth of the spread of this information was jointly proportional to the number of people who heard it and the number of people who had not heard it. (a) If after...
In the meeting, the date of a future ceremony was first set, and the attendees were A meeting of the elders was held in a village in the early 1400's instructed to spread the date to their fellow villagers In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony 24 16 275 418 1012 2079 2530 2629 2695 Use...
A certain community consists of 1700 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 1700 1 + 1699 -0.35 where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 14 days? Round your answer to the nearest whole number. people...
A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a future ceremony was first set, and the attendees were instructed to spread the date to their fellow villagers. In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony. 28 1225 24 1195 21 1150 16 945 460 190...
I am really confused as to how I can even approach this
differential equation, I really need a step by step solution.
Thanks!!
406 Chapter 5 Differential Equations 5 Performance Task Spread of an Influenza Virus Throughout history, influenza viruses have caused pandemics or global epidemics. The influenza pandemic of 1918-1919 occurred in three waves. The first wave occurred in the late spring and summer of 1918, the second wave occurred in the fall of 1918, and the final wave...
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