Find the Curvature of the Curve $\mathbf { r } ( t ) = 6 t \mathbf { i } + 6 t \mathbf { j } + 3 \mathbf { k }$

question 87

Multiple Choice

Find the curvature of the curve $\mathbf { r } ( t ) = 6 t \mathbf { i } + 6 t \mathbf { j } + 3 \mathbf { k }$ . Select the correct answer.

• A) \(6 \sqrt { 2 }\)
• B) 0
• C) 9
• D) 1

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Definitions:

Doubled

Increased by 100 percent or made twice as large in size, amount, or number.

Quadrupled

To increase fourfold, or to become four times as large in quantity or value.

Imports

Goods and services brought into one country from another for sale, often reflecting a country's demand for products that are not produced within its borders.

Labor Intensive

A type of production process that requires a high level of human labor compared to capital investment.