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

[helpm3pl3ase]

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

 

[HallsofIvy]

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".)