I: $ x = -\frac{1}{2} $

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• F: $ x = -\sqrt{3} $
• G: $ x = \sqrt{3} $
• H: $ x = \frac{1}{2} $
• J: $ x = 3 $
• Correct: D $ x = 1 $
• Question: An entomologist models the population of a bee colony over time with the differential equation $ \frac{dP}{dt} = kP(1 - \frac{P}{K}) $, where $ K = 1000 $. If $ k = 0.02 $, what is the carrying capacity of the system?

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