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Solve the Problem. -The Spread of a Cold Virus Can Be Modeled Using

Question 47

Multiple Choice

Solve the problem.
-The spread of a cold virus can be modeled using logistic equations. The key assumption is that at any given time, a fraction y of the population, where 0 ≤ y ≤ 1, has the virus, while the remaining fraction 1-y does not. Furthermore, the cold virus spreads by interactions between those who have it and those who do not. The number of such interactions is proportional to y(1 - y) . Therefore, the equation that describes the spread of the virus is Solve the problem. -The spread of a cold virus can be modeled using logistic equations. The key assumption is that at any given time, a fraction y of the population, where 0 ≤ y ≤ 1, has the virus, while the remaining fraction  1-y  does not. Furthermore, the cold virus spreads by interactions between those who have it and those who do not. The number of such interactions is proportional to y(1 - y) . Therefore, the equation that describes the spread of the virus is    where k is a positive real number. Assume  k = 0.7  and solve the initial value problem where the number of people who initially have the cold virus is  y(0)  = 0.3    A)  y =   B)  y =   C)  y =   D)  y =  where k is a positive real number. Assume k = 0.7 and solve the initial value problem where the number of people who initially have the cold virus is y(0) = 0.3


A) y = Solve the problem. -The spread of a cold virus can be modeled using logistic equations. The key assumption is that at any given time, a fraction y of the population, where 0 ≤ y ≤ 1, has the virus, while the remaining fraction  1-y  does not. Furthermore, the cold virus spreads by interactions between those who have it and those who do not. The number of such interactions is proportional to y(1 - y) . Therefore, the equation that describes the spread of the virus is    where k is a positive real number. Assume  k = 0.7  and solve the initial value problem where the number of people who initially have the cold virus is  y(0)  = 0.3    A)  y =   B)  y =   C)  y =   D)  y =
B) y = Solve the problem. -The spread of a cold virus can be modeled using logistic equations. The key assumption is that at any given time, a fraction y of the population, where 0 ≤ y ≤ 1, has the virus, while the remaining fraction  1-y  does not. Furthermore, the cold virus spreads by interactions between those who have it and those who do not. The number of such interactions is proportional to y(1 - y) . Therefore, the equation that describes the spread of the virus is    where k is a positive real number. Assume  k = 0.7  and solve the initial value problem where the number of people who initially have the cold virus is  y(0)  = 0.3    A)  y =   B)  y =   C)  y =   D)  y =
C) y = Solve the problem. -The spread of a cold virus can be modeled using logistic equations. The key assumption is that at any given time, a fraction y of the population, where 0 ≤ y ≤ 1, has the virus, while the remaining fraction  1-y  does not. Furthermore, the cold virus spreads by interactions between those who have it and those who do not. The number of such interactions is proportional to y(1 - y) . Therefore, the equation that describes the spread of the virus is    where k is a positive real number. Assume  k = 0.7  and solve the initial value problem where the number of people who initially have the cold virus is  y(0)  = 0.3    A)  y =   B)  y =   C)  y =   D)  y =
D) y = Solve the problem. -The spread of a cold virus can be modeled using logistic equations. The key assumption is that at any given time, a fraction y of the population, where 0 ≤ y ≤ 1, has the virus, while the remaining fraction  1-y  does not. Furthermore, the cold virus spreads by interactions between those who have it and those who do not. The number of such interactions is proportional to y(1 - y) . Therefore, the equation that describes the spread of the virus is    where k is a positive real number. Assume  k = 0.7  and solve the initial value problem where the number of people who initially have the cold virus is  y(0)  = 0.3    A)  y =   B)  y =   C)  y =   D)  y =

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