The Critical Points of the System $\frac { d x } { d t } = 2 x + y ^ { 2 } , \frac { d y } { d t } = 2 x - 3 y$

question 14

Multiple Choice

The critical points of the system $\frac { d x } { d t } = 2 x + y ^ { 2 } , \frac { d y } { d t } = 2 x - 3 y$ are

• A) \(y = 0 , y = - 3\)
• B) \(x = 0 , x = - 9 / 2\)
• C) \[( 0,0 )\]
• D) \(( 0,0 ) , ( - 9 / 2 , - 3 )\)
• E) \(( - 9 / 2 , - 3 )\)

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Definitions:

Competitive Forces

The various external factors that influence the competitive position and market power of a business within its industry.

Level of Competition

Describes the intensity and number of competitors in a market, which can influence pricing, product innovation, and consumer choice.

Profitability

The degree to which a business or activity yields profit or financial gain.

Oligopolists

Firms within a market structure characterized by a small number of large firms controlling the market, often leading to limited competition.