A Desert Preserve in the Southwest Is Known for Its $\begin{array} { l } \frac { d R } { d t } = 2 R - 0.2 R C \\\frac { d C } { d t } = - 1.4 C + 0.02 R C\end{array}$

question 19

Multiple Choice

A desert preserve in the southwest is known for its populations of coyotes and road runners.The growth rate for each population can be modeled by this pair of differential equations: $\begin{array} { l } \frac { d R } { d t } = 2 R - 0.2 R C \\\frac { d C } { d t } = - 1.4 C + 0.02 R C\end{array}$ where C is the number of coyotes and R is the number of road runners.Find the equilibrium populations for this model.(Hint: These are the populations for which $\frac { d R } { d t } = \frac { d C } { d t } = 0$ ) .

• A)60 coyotes,15 road runners
• B)10 coyotes,70 road runners
• C)15 coyotes,60 road runners
• D)70 coyotes,10 road runners

Understand the concept and characteristics of a group in various social contexts.

Compare and contrast different types of groups and their dynamics.

Apply the concept of entitativity to differentiate between aggregates and groups.

Identify the processes and stages of group development and dynamics.

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