Find Parametric Equations for the Tangent Line to the Curve $x = t ^ { 11 } , y = t ^ { 3 } , z = t ^ { 6 } ; ( 4,4,4 )$

question 37

Multiple Choice

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. $x = t ^ { 11 } , y = t ^ { 3 } , z = t ^ { 6 } ; ( 4,4,4 )$

• A) \(x = 4 - 11 t , y = 4 + 3 t , z = 4 + 6 t\)
• B) \(x = 4 + 11 t , y = 4 + 3 t , z = 4 + 6 t\)
• C) \(x = 4 + 11 t , y = 4 + 3 t , z = 4 - 6 t\)
• D) \(x = 11 t , y = 4 + 3 t , z = 4 + 6 t\)
• E) \(x = 4 + 11 t , y = 4 - 3 t , z = 4 + 6 t\)

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Definitions:

Refractory Periods

Periods immediately following an action potential during which a neuron is unable to fire another action potential or the firing rate is significantly reduced.

Calcium Channels

Ion channels in cell membranes that allow the movement of calcium ions into or out of a cell, playing key roles in various physiological processes.

Refractory Periods

Intervals following an action potential during which a neuron or muscle cell is less responsive to further stimulation.

Neuron

A nerve cell that is the basic building block of the nervous system, responsible for receiving and transmitting information.