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) \(\frac { 16 } { 51 }\)

Recognize the importance of saving changes in database design and understanding the interface components.

Learn the process to exit the application properly.

Understand the usage of field properties to enforce data integrity.

Comprehend methods to summarize and compute data within tables.

---

Definitions:

Mean

The average of a set of numbers, calculated by dividing the sum of all numbers by the count of numbers.

Range

The difference between the highest and lowest values in a set of data.

Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of data values, showing how much variation there is from the mean.

Variance

The measure of spread in a distribution, representing the average of the squared differences from the mean.