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  3. write complete solution. 4. the growth rate of a c

WRITE COMPLETE SOLUTION. 4. The growth rate of a certain colony of bacteria in a controlled room...

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Civil Engineering

WRITE COMPLETE SOLUTION.

4. The growth rate of a certain colony of bacteria ina controlled room temperature is given by the expression

dP(t)/dt = -4.375x10^-5 P(t)^2 + 0.0525P(t)

Where:
P(t) = bacterial count
t      = time

Initial biomass count was performed by the researchersand found a total of 400 grams.
Determine:
a) The time when population reaches 500 grams.
b) The time when population reaches 850 grams.
c) The time when half of the maximum growth rate isreached.

Answer & Explanation Solved by verified expert
4.2 Ratings (820 Votes)
First we have to find equation relating bacterial count Pt and time t from the given equationwe need to perform integrationSo our final equation is iIn    See Answer
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