The number of guests at a theme park can be modeled by function P(t) where t is measured in hours. P is a solution to the logistic differential equation dp_P p² dt P(0) = 4,500. What is the greatest rate of change of the number of guests at the park, per hour? 2 60000 2,312 guests per hour 3,750 guests per hour 7,500 guests per hour. 15,000 guests per hour where

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