Find the Curvature of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 6 t \mathbf { j } + 9 \mathbf { k }$

question 60

Multiple Choice

Find the curvature of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 6 t \mathbf { j } + 9 \mathbf { k }$ .

• A) 1
• B) \(2 \sqrt { 10 }\)
• C) 11
• D) 0

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Definitions:

Loose Connective Tissue

A type of connective tissue characterized by a loosely organized matrix, which supports, binds together, and provides nutrients to surrounding tissues.

Elastic Tissue

A type of connective tissue that allows tissues in the body to resume their shape after stretching or contracting.

Vertebrae

The individual bones that stack to form the vertebral column or spine.

Dense Irregular Connective Tissue

A type of connective tissue with fibers that are thick, densely packed, and arranged in an irregular pattern, providing strength and resistance to forces from multiple directions.