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April 24, 2014

April 24, 2014

Posted by **Marianne** on Friday, July 9, 2010 at 7:53pm.

If a bacteria culture doubles every 10 minutes and the original culture has 300 cells determine the rate of growth.

- Calc 2 college -
**Damon**, Friday, July 9, 2010 at 8:59pmy = c e^kt

dy/dt = k c e^kt = k y

when t = 0 e^kt = e^0 = 1

y(0) = c

so

y = 300 e^kt

when t = 10

y = 600

600 = 300 e^10k

2 = e^10 k

ln 2 = 10 k

k = .0693/minute

- Calc 2 college -
**Scott**, Friday, July 9, 2010 at 9:02pmThanks

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