The Ellipsoid $4 x ^ { 2 } + 5 y ^ { 2 } + z ^ { 2 } = 28$

question 34

Short Answer

The ellipsoid $4 x ^ { 2 } + 5 y ^ { 2 } + z ^ { 2 } = 28$ intersects the plane $y = 2$ in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1, 2, 2).

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Definitions:

Intracranial Pressure

Refers to the pressure within the skull, affecting the brain tissue and cerebrospinal fluid.

Abbreviation

A shortened form of a word or phrase used to simplify writing and speaking.

Peripheral Nervous System

The portion of the nervous system that exists outside the brain and spinal cord, responsible for transmitting sensory information to the central nervous system and carrying motor commands to muscles and organs.

Pns

Abbreviation for Peripheral Nervous System, which includes nerves and ganglia outside of the brain and spinal cord.