Find the Unit Tangent Vector for the Curve Given By \mathbf

question 92

Multiple Choice

Find the unit tangent vector for the curve given by $\mathbf { r } ( t ) = \left\langle \frac { 1 } { 5 } t ^ { 5 } , \frac { 1 } { 3 } t ^ { 3 } , t \right)$ .

• A) \(\frac { \left\langle t ^ { 4 } , t ^ { 2 } , 1 \right) } { \sqrt { t ^ { 10 } + t ^ { 4 } } }\)
• B) \(\frac { \left( t ^ { 4 } , t ^ { 2 } , 1 \right) } { \sqrt { 4 t ^ { 8 } + 4 t ^ { 4 } + 1 } }\)
• C)
• \(\frac { \left\langle t ^ { 4 } , t ^ { 2 } , 1 \right) } { \sqrt { t ^ { 8 } + t ^ { 4 } + 1 } }\)
• D)
• \(\frac { \left\langle t ^ { 4 } , t ^ { 2 } , 1 \right\rangle } { \sqrt { t ^ { 8 } + t ^ { 4 } } }\)
• E) None of these

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Design Specifications

Detailed descriptions of materials, dimensions, and processes used in the construction of a product.

P-chart

A type of control chart used for monitoring the proportion of defective items in a process over time.

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Boundaries in statistical process control that indicate the thresholds for when a process is in or out of control.

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A statistical measure that quantifies how well a process can produce output within given specification limits.