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Let X Be the Number of Reptiles, Y Be the Number

Question 18

Multiple Choice

Let x be the number of reptiles, y be the number of mammals, and z be the number of plants on the island of Komodo, all measured in thousands (e.g., x = 50 means 50,000 reptiles) .The following differential equations give the rates of growth of reptiles, mammals, and plants on the island: dxdt=0.6x0.12xy+0.0024xzdydt=0.1y+0.01xydzdt=6z0.006z20.1xz\begin{array}{l}\frac{d x}{d t}=-0.6 x-0.12 x y+0.0024 x z \\\frac{d y}{d t}=-0.1 y+0.01 x y \\\frac{d z}{d t}=6 z-0.006 z^{2}-0.1 x z\end{array} Who is eating whom on Komodo? Mark all that apply.


A) Reptiles eat plants.
B) Reptiles eat mammals.
C) Mammals eat plants.
D) Mammals eat reptiles.

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