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The Torsion of a Curve Defined By r(t)\mathbf { r } ( t )

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Short Answer

The torsion of a curve defined by r(t)\mathbf { r } ( t ) is given by
τ=(rt×rtt)rtttrt×rtt2\tau = \frac { \left( \mathbf { r } ^ { t } \times \mathbf { r } ^ { tt } \right) \cdot \mathbf { r } ^ { ttt } } { \left| \mathbf { r } ^ { t } \times \mathbf { r } ^ { t t } \right| ^ { 2 } }
Find the torsion of the curve defined by r(t)=cos2ti+sin2tj+5tk\mathbf { r } ( t ) = \cos 2 t \mathbf { i } + \sin 2 t \mathbf { j } + 5 t \mathbf { k } .

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Ethical Perspective

The viewpoint or stance on moral principles and how they should influence behavior and decision-making.

Title VII

An element of the Civil Rights Act from 1964 which prevents job discrimination based on one's race, hue, religious views, sex, or origin nationality.

Temporary Disability

A condition where an individual is unable to work for a limited period due to illness or injury, often covered by insurance or worker’s compensation.

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