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

question 41

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

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Definitions:

Fibrillation

An irregular, often rapid heart rate that commonly causes poor blood flow to the body.

Arrhythmia

An irregularity in the heartbeat rhythm, which can range from minor to serious health concerns.

Fibrillation

An uncoordinated twitching of the muscle fibers, particularly noted in the heart muscle.

Palpitation

A sensation in which a person is aware of an irregular, hard, or rapid heartbeat.