Solve the Problem $\frac { \mathrm { dx } } { \mathrm { dt } } = ( - 5 + 6 \mathrm { y } ) \mathrm { x }$

question 67

Multiple Choice

Solve the problem.
-The system of equations $\frac { \mathrm { dx } } { \mathrm { dt } } = ( - 5 + 6 \mathrm { y } ) \mathrm { x }$ and $\frac { \mathrm { dy } } { \mathrm { dt } } = ( - 5 + \mathrm { x } ) \mathrm { y }$ describes the growth rates of two symbiotic (dependent) species of animals (such as the rhinoceros and a type of bird which eats insects from its back) . What happens to the rhinoceros population when the bird population decreases?

• A) The rhinoceros population increases.
• B) The rhinoceros population stays the same.
• C) The rhinoceros population could either increase or decrease.
• D) The rhinoceros population decreases.

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