Answer:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)],$ x(0)=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D%2C%24%20%20x%280%29%3D0)
Step-by-step explanation:
Total Number of People on Campus =1000
Let the number of people who have contracted the flu =x(t)
Therefore, the number of people who have not contracted the flu =1000-x(t)
Since the rate at which the disease spreads is proportional to the number of interactions between the people who have the flu and the number of people who have not yet been exposed to it.
![\dfrac{dx(t)}{dt} \propto x(t)[1000-x(t)]](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5Cpropto%20x%28t%29%5B1000-x%28t%29%5D)
Introducing the proportional constant k, we obtain:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)]](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D)
At t=0, there was no infected on the campus, therefore the initial condition is given:
Therefore, a differential equation for the number of people x(t) who have contracted the flu is:
You can break 98 into 2 49's. Hopefully, we know that 49 is 7 * 7, so 98 is 7 * 14. The correct answer is 14. :)
Answer: literal language
hope this helps :)
Answer:
Statement 4 is correct
Step-by-step explanation:
Here, we want to select which statement is true based on the given diagram;
The statement that must be true is that Y is the midpoint of XV
This is because, by bisection , we mean dividing into 2 equal parts
The line UW has divided the line XV into two equal parts
So this mean that Y is the midpoint of the line XV
1/14 is you answer
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