## soccergal12 3 years ago Peter's chickens got the bird flu and he is rying to stop the epidemic. He knows that the function f(t) = 300 / ( 15 - 20e^(-0.07t) ) describes the number of his chickens who are sick t weeks after the initial outbreak. (a) How many chickens became sick when the flu epidemic has began? I got -60 for my answer, which doesn't seem right (b) In how many weeks will 100 chickens be sick? i got roughly 7.3 weeks (c) What is the maximum number of chickens that will become ill?

1. NotTim

try asking just 1 question at a time

2. soccergal12

okay, well How many chickens became sick when the flu epidemic has began?

3. NotTim

would t be 0 or 1? I dunno

4. soccergal12

well when i put in 0 i got -60 for my answer. which did not make sense

5. soccergal12

and when i put 1, i got -82

6. NotTim

eh. when did the epidemic begin?

7. soccergal12

the question never states it

8. NotTim

how'd you figure out a???

9. soccergal12

haha, i can't figure it out. that's the point. i just assumed t would be 0, and when i plugged that in, i got a negative number

10. soccergal12

uhm dont worry about it. our prof just told us we don't have to do part a. could you maybe help me with part c?

11. NotTim

eh...this doesn't look parabolic...is it? i ahvent done the math myself.

12. NotTim

but if it is, then it is at the midpoint

13. soccergal12

well the prof said to not do part a

14. NotTim

oh, talking about c there. I think a is 0...

15. NotTim

..unless the 'parabola' has shifted...

16. soccergal12

it's okay, we don't need to wrry about it

17. soccergal12

for part c, i find the derivative and set it to 0 right?

18. NotTim

lol i forgot all about derivatives... yes.

19. NotTim

wait..is it the first or second derivative?

20. NotTim

that u should use?

21. NotTim

hey..you're doing calculus! you know of purplemath.com, calculushelp.com and khanacademy.org right?