Find the Unit Vectors That Are Parallel to the Tangent $y = 2 x ^ { 2 }$

question 131

Multiple Choice

Find the unit vectors that are parallel to the tangent line to the curve $y = 2 x ^ { 2 }$ at the point $( 2,8 )$ .

• A) \(\frac { \pm ( 2 \mathbf { i } - 8 \mathbf { j } ) } { 65 }\)
• B) \(\frac { \pm ( 2 \mathbf { i } + 8 \mathbf { j } ) } { 65 }\)
• C) \(\frac { \pm ( i + 8 j ) } { \sqrt { 65 } }\)
• D) \(\frac { \pm ( \mathbf { i } + \mathbf { j } ) } { \sqrt { 65 } }\)
• E) \(\frac { \pm ( \mathbf { i } - 8 \mathbf { j } ) } { 65 }\)

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Definitions:

Population Parameters

Characteristics or measures that describe aspects of a statistical population, such as mean, variance, or standard deviation.

Proposed Package

A suggested set of measures, items, or conditions put forward for consideration or acceptance.

Percentage

A proportion or share expressed as a fraction of 100.

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The branch of statistics that allows making predictions or inferences about a population based on a sample of data drawn from that population.