How Many People Become Ill with the Flu During the First 10 Days of an Epidemic?

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In summary, the conversation discusses the concept of correctness and its consequences. It suggests ways to determine if something is correct, such as double checking work, consulting with experts, or conducting experiments. It also addresses the importance of acknowledging and correcting mistakes, and the value of seeking guidance and continuously learning in the pursuit of knowledge.
  • #1
helpm3pl3ase
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Is this correct??

The rate r at which people become ill with the flu at time t days after
an epidemic begins is given by r = 1000 t e−t/20 people per day. How many
people become ill with the flu during the first 10 days of this epidemic?

take the integral from 0 to 10 of (1000t e^(-t/20)) and then plug in 10 and 0. Then subtract.. getting

36081
 
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  • #2
Yes, assuming the information given is what you have said, that's correct. (More correctly,since the function you give is continuous while the number of people is discrete, its the "best approximation".)
 
  • #3
.8

Yes, this is correct. To find the number of people who become ill with the flu during the first 10 days, we need to calculate the integral of the given rate function from 0 to 10. The result of this integral is 36081.8, which represents the approximate number of people who become ill with the flu during the first 10 days of the epidemic. This is a valid calculation based on the given rate function.
 

FAQ: How Many People Become Ill with the Flu During the First 10 Days of an Epidemic?

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