Find the Curvature of the Curve $\mathbf { r } ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$

question 21

Multiple Choice

Find the curvature of the curve $\mathbf { r } ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$ .

• A) \(\frac { 4 } { 3 }\)
• B) \(\frac { 3 } { 4 }\)
• C) \(\frac { 51 } { 16 }\)
• D) \(\frac { 16 } { 51 }\)

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Definitions:

Chi-Square Value

A statistic that measures the difference between observed frequencies and the frequencies expected under a specific hypothesis.

Observed Frequency

The actual count of instances or occurrences of a particular category or outcome in a set of data.

Expected Frequency

The number of times an outcome is predicted to occur in a statistical experiment, based on the probabilities of each outcome.

Rule Of Five

A statistical rule stating that if a dataset contains more than five times the sample size of another, the larger can be considered approximately normal in distribution.