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Question

Given the following non-linear system:

 

 

 A.) its critical points are   

B.) its critical points are  

C.) its critical points are  

D.) the system has no critical point.

Answer 1

The critical values are found when dx/dt = 0 and dy/dt = 0

From the first equation, we will find two solutions for y.

Plug each of these values into the second equation and you will see in each case that you get two values for x.

Thus, the solution will be B.

Answer 2