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?
