The Critical Points of the System $x ^ { \prime } = x ^ { 3 } - y ^ { 2 } - 8 , y ^ { \prime } = 8 y$

question 40

Multiple Choice

The critical points of the system $x ^ { \prime } = x ^ { 3 } - y ^ { 2 } - 8 , y ^ { \prime } = 8 y$ are

• A) \(( 2,0 ) , 0,2 )\)
• B) \[( - 2,0 ) , ( 0 , - 2 )\]
• C) \(( 0,2 )\)
• D) \(( 0 , - 2 )\)
• E) none of the above

---

Definitions:

Inheritance Diagram

A visual representation of the relationships between parent and child classes in object-oriented programming.

Arrowheads

Graphical symbols used in diagrams to indicate the direction of a relationship or process flow.

Quick Sort

A highly efficient sorting algorithm that uses a divide-and-conquer strategy to sort elements in an array or list.

Splitting Value

In programming, splitting a value often refers to dividing a string or other data into multiple components based on a specified delimiter or condition.