\[ \begin{array}{l}\frac{d x}{d t}=0.6 x-0.004 x^{2}-0.001 x y \\ \frac{d y}{d t}=0.7 y-0.001 y^{2}-0.006 x y \\ \text { is a model for the populations of two species. } \\ \text { (a) Does the model describe cooperation, or competition, or a predator-prey relationship? } \\ \text { competition } \\ \text { cooperation predator-prey relationship } \\ \text { (b) Find the equilibrium solutions. (Enter solutions from smallest to largest value of } x \text {. If solutions have the same value of } x \text {, enter them from smallest to largest } y \text {.) } \\ \begin{aligned}(x, y) & =(\square) \\ (x, y) & =(\square)\end{aligned} \\ (x, y)=(\square)\end{array} \]
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