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Mathematics 19 Online
OpenStudy (anonymous):

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?

OpenStudy (nottim):

try asking just 1 question at a time

OpenStudy (anonymous):

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

OpenStudy (nottim):

would t be 0 or 1? I dunno

OpenStudy (anonymous):

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

OpenStudy (anonymous):

and when i put 1, i got -82

OpenStudy (nottim):

eh. when did the epidemic begin?

OpenStudy (anonymous):

the question never states it

OpenStudy (nottim):

how'd you figure out a???

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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?

OpenStudy (nottim):

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

OpenStudy (nottim):

but if it is, then it is at the midpoint

OpenStudy (anonymous):

well the prof said to not do part a

OpenStudy (nottim):

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

OpenStudy (nottim):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (nottim):

lol i forgot all about derivatives... yes.

OpenStudy (nottim):

wait..is it the first or second derivative?

OpenStudy (nottim):

that u should use?

OpenStudy (nottim):

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

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