In: Civil Engineering
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9. Suppose Paramecium caudatum cultured in a batch
reactor obeys the logistic function
X(t) =20,000/3.0 + 50e^−0.01t ; {t ϵ + ℝ}
Where:
X(t) =
organism count
t = time, hours
a. Determine the carrying capacity of the population.
b. Determine the time when the maximum growth rate is
expected.
c. Determine the organism count added between the quarter of the
maximum growth rate to
three-quarters of the maximum growth rate.
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