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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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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
P(0) = 4,500. What is the greatest rate of change of the number of guests at the park, per hour? (
2,312 guests per hour
3,750 guests per hour
7,500 guests per hour
15,000 guests per hour
P
dp
p²
dt 2 60000
=
where
Transcribed Image Text: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 P(0) = 4,500. What is the greatest rate of change of the number of guests at the park, per hour? ( 2,312 guests per hour 3,750 guests per hour 7,500 guests per hour 15,000 guests per hour P dp p² dt 2 60000 = where
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