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AleksAgata [21]
3 years ago
9

Please pleasse help with calculations

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0
11. Is D to start off
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the population P (t) of a culture of bacteria is given by P (t) =-1710t +92,000t+10,000, where t is the time in hours since the
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The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

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Equation of population P(t) = –1710t^2+ 92,000t + 10,000

Find the derivative of the function to find the critical value

dP/dt = -2(1710)t + 92000

         = -3420t + 92000

Find the critical value by equating dP/dt = 0

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Check if it really have max value through 2nd derivative

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So, the time when it is maximum is 26.9 or 27 hours

5 0
3 years ago
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