Find T, N, and B for the Given Space Curve $$r ( t ) = \left( 8 + 6 \sin \frac { 2 } { 3 } t \right) i + \left( 4 + 6 \cos \frac { 2 } { 3 } t \right) j + 3 t k$$

question 55

Multiple Choice

Find T, N, and B for the given space curve.
- $$r ( t ) = \left( 8 + 6 \sin \frac { 2 } { 3 } t \right) i + \left( 4 + 6 \cos \frac { 2 } { 3 } t \right) j + 3 t k$$

• A) \(\mathrm { T } = \frac { 4 } { 5 } ( \cos 0.667 \mathrm { t } ) \mathbf { i } - \frac { 4 } { 5 } ( \sin 0.667 \mathrm { t } ) \mathbf { j } ; \mathbf { N } = ( - \sin 0.667 \mathrm { t } ) \mathbf { i } - ( \cos 0.667 \mathrm { t } ) \mathbf { j } ; \mathbf { B } = \frac { 3 } { 5 } ( \cos 0.667 \mathrm { t } ) \mathbf { i } - \frac { 3 } { 5 } ( \sin 0.667 \mathrm { t } ) \mathbf { j } -\) \(\frac { 4 } { 5 } \mathbf { k }\)
• B) \(\mathrm { T } = \frac { 4 } { 5 } ( \sin 0.667 \mathrm { t } ) \mathbf { i } - \frac { 4 } { 5 } ( \cos 0.667 \mathrm { t } ) \mathbf { j } ; \mathbf { N } = ( - \sin 0.667 \mathrm { t } ) \mathbf { i } - ( \cos 0.667 \mathrm { t } ) \mathbf { j } ; \mathbf { B } = \frac { 3 } { 5 } ( \cos 0.667 \mathrm { t } ) \mathbf { i } - \frac { 3 } { 5 } ( \sin 0.667 \mathrm { t } ) \mathbf { j } -\) \(\frac { 4 } { 5 } \mathbf { k }\)
• C) \(\mathrm { T } = \frac { 4 } { 5 } ( \cos 0.667 \mathrm { t } ) \mathbf { i } - \frac { 4 } { 5 } ( \sin 0.667 \mathrm { t } ) \mathbf { j } + \frac { 3 } { 5 } \mathbf { k } ; \mathbf { N } = ( - \sin 0.667 \mathrm { t } ) \mathbf { i } - ( \cos 0.667 \mathrm { t } ) \mathbf { j } ; \mathbf { B } = - \frac { 4 } { 5 } \mathbf { k }\)
• D) \(\mathrm { T } = \frac { 4 } { 5 } ( \cos 0.667 \mathrm { t } ) \mathbf { i } - \frac { 4 } { 5 } ( \sin 0.667 \mathrm { t } ) \mathbf { j } + \frac { 3 } { 5 } \mathbf { k } ; \mathbf { N } = ( - \sin 0.667 \mathrm { t } ) \mathbf { i } - ( \cos 0.667 \mathrm { t } ) \mathbf { j } ; \mathbf { B } = \frac { 3 } { 5 } ( \cos 0.667 \mathrm { t } ) \mathbf { i } - \frac { 3 } { 5 } ( \sin\) \(0.667 t ) \mathbf { j } - \frac { 4 } { 5 } \mathbf { k }\)

Recognize the need for and methods of conducting an appropriate sexual assessment.

Identify the misconceptions and errors in approach regarding sexual health education and intervention among different age groups.

Understand the importance of confidentiality and creating a non-judgmental environment when discussing sexual health.

Recognize the critical role of preventative interventions and support for patients at risk of sexually transmitted infections (STIs) and those living with HIV.

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Definitions:

Sieve Elements

Specialized cells in the phloem of vascular plants that are involved in the transport of sugars and nutrients.

Sink Cells

Cells that act as a metabolic or storage sink, usually absorbing and storing nutrients transported from source cells in an organism.

Source Cells

Cells that provide or have the potential to provide necessary components or functions for repair or growth, often referring to stem cells.

Humus

Organic component of soil formed by the decomposition of leaves and other plant materials by soil microorganisms.