The Ellipsoid $8 x ^ { 2 } + 3 y ^ { 2 } + z ^ { 2 } = 14$

question 81

Multiple Choice

The ellipsoid $8 x ^ { 2 } + 3 y ^ { 2 } + z ^ { 2 } = 14$ intersects the plane $y = 2$ in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1, 2, 2) .

• A) \(x = 1 + t , y = 2 , z = - 4 t + 2\)
• B) \(x = 1 + t , y = 2 , z = - 4 t - 2\)
• C) \(x = 1 + t , y = 1 , z = 4 t + 2\)
• D) \(x = t , y = 2 , z = - 4 t + 2\)
• E) \(x = 1 + t , y = 2 , z = 4 t - 2\)

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Definitions:

Sensory Stimulus

Any object or event that is input to the senses, leading to a response or recognition from the body or brain.

Reflex

An automatic, involuntary response to a stimulus without the involvement of conscious thought.

Action Potential

A temporary reversal of an electrical charge across the membrane of a nerve cell that results in the transmission of an electrical impulse.

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, which acts as the processing center for nervous functions.