An epidemic follows the curve

P = 500 / 1+20,000e^(-0.549t)

; where t is in years. How fast is the epidemic growing after 10 years? (Round your answer to two significant digits.)

Question

An epidemic follows the curve

P = 500 / 1+20,000e^(-0.549t)

; where t is in years. How fast is the epidemic growing after 10 years? (Round your answer to two significant digits.)

catinthehat · Answer

plug in 10 into the equation

anonymous · Answer

@catinthehat , i did im just having trouble with the calculations.

catinthehat · Answer

use a calculator

catinthehat · Answer

your not gonna be able to cauluate the exp part by hand, so either use a computer or a calc

anonymous · Answer

thats actually not the correct way to do it.

anonymous · Answer

i got the answer but i submitted it into my hwk assignment and it stated it was incorrect.

catinthehat · Answer

did you round to the correct digits

anonymous · Answer

yes.

catinthehat · Answer

can you use derivaitves?

anonymous · Answer

yes but i didnt use them

catinthehat · Answer

are you suppose to use derivatives?

anonymous · Answer

yes thats why im having trouble with this problem.

catinthehat · Answer

now that makes sense :) , just take the derivatvem,

with regards to the e^(-0.549t) all you have to remmeber is that the derivative of e^(f(x)) is always equal to f'(x)*e^(f(x))

anonymous · Answer

ok, so what would be my next step?

catinthehat · Answer

you got to use the quotient rule

catinthehat · Answer

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