Find the Curvature of the Curve $\mathbf { r } ( t ) = 2 \sin 7 t \mathbf { i } + 2 \cos 7 t \mathbf { j } + 2 t \mathbf { k }$

question 89

Multiple Choice

Find the curvature of the curve $\mathbf { r } ( t ) = 2 \sin 7 t \mathbf { i } + 2 \cos 7 t \mathbf { j } + 2 t \mathbf { k }$ . Select the correct answer.

• A) \(\frac { 7 } { 2 }\)
• B) \(\frac { 2 } { 7 }\)
• C) \(\frac { 49 } { 100 }\)
• D) \(\frac { 100 } { 49 }\)

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Definitions:

Glomerulus

A network of capillaries located at the beginning of a nephron in the kidney, where blood filtration takes place.

Nephron

A kidney tubule and associated capillaries; filters blood and forms urine.

Filtration

A process by which solids are separated from liquids or gases by passing the mixture through a medium that retains the solids.

Reabsorption

The process in the kidneys where nutrients, water, and essential ions are reabsorbed into the bloodstream from filtered fluid.