The Critical Point $( 0 , - 2 )$ Of the System

question 7

Multiple Choice

The critical point $( 0 , - 2 )$ of the system $x ^ { \prime } = x ^ { 3 } - y ^ { 2 } + 4 , y ^ { \prime } = 5 x$ is a

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

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Definitions:

Dendrite

A branched extension of a neuron that receives impulses from other cells and transmits them to the cell body.

Axon

The long, slender projection of a neuron that conducts electrical impulses away from the neuron's cell body towards other neurons or muscles.

Nodes of Ranvier

Gaps in the myelin sheath along a nerve fiber, where the axonal membrane is exposed to the extracellular space, facilitating rapid signal transmission.

Myelinated Axons

Axons that are covered with myelin, a fatty substance that speeds up the transmission of nerve impulses.