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In: Civil Engineering

WRITE COMPLETE SOLUTION 9. Suppose Paramecium caudatum cultured in a batch reactor obeys the logistic function...

WRITE COMPLETE SOLUTION

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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