Homework Help: Calc 2 college

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

Modeling with differential equations.
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 8:59pm
y = 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 9:02pm
Thanks

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