The population P(t) of a culture of bacteria is given by P(t) = -1718t^2 + 82000t + 10000 where t is the time in hours since the culture was started. a) Determine the time at which the population is at a maximum. Round to the nearest hour. b) Determine the maximum population. Round to the nearest thousand.
Added by James J.
Step 1
The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a = -1718 and b = 82000. Show more…
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