The Geometric Configuration of the Solutions Of $\frac { d x } { d t } = - 6 x - 5 y , \frac { d y } { d t } = 3 x + 2 y$

question 8

Multiple Choice

The geometric configuration of the solutions of $\frac { d x } { d t } = - 6 x - 5 y , \frac { d y } { d t } = 3 x + 2 y$ in the phase plane is

• A) stable node
• B) unstable node
• C) stable spiral point
• D) unstable spiral point
• E) saddle point

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Definitions:

Scale

Refers to the size or level of operation, especially in terms of the capacity to produce or serve in business and economics.

Increasing Returns

A situation where an increase in the amount of inputs results in a more than proportional increase in the output, demonstrating enhanced efficiency or productivity.

Inputs

The resources used in the production process to create goods or services, including labor, raw materials, and capital.

Scale

The size or level of activity of a company or operation, or the capacity to adjust the size or level of activity.