Find the Linear Approximation To $f ( x ) = \frac { 1 } { ( 2 + x ) ^ { 3 } }$

question 80

Multiple Choice

Find the linear approximation to $f ( x ) = \frac { 1 } { ( 2 + x ) ^ { 3 } }$ at $a = 0$

• A)
• \(\frac { 1 } { 8 } - \frac { 1 } { 8 } x\)
• B)
• \(\frac { 1 } { 8 } + \frac { 1 } { 8 } x\)
• C)
• \(\frac { 1 } { 8 } + \frac { 3 } { 16 } x\)
• D)
• \(\frac { 1 } { 8 } + \frac { 1 } { 16 } x\)
• E) \(\frac { 1 } { 8 } - \frac { 3 } { 16 } x\)
• F) \(\frac { 1 } { 8 } - \frac { 3 } { 4 } x\)
• G) \(\frac { 1 } { 8 } - \frac { 1 } { 16 } x\)
• H)
• \(\frac { 1 } { 8 } + \frac { 3 } { 4 } x\)

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Hyperpnea

Increased depth and rate of breathing, usually in response to physical activity or a specific physiological demand.

Cricoid Cartilage

A ring-shaped cartilage found at the base of the larynx (voice box) and is important for maintaining an open airway.

Largest Cartilage

Refers to the thyroid cartilage, the largest cartilage in the larynx, which plays a crucial role in voice production.

Larynx

The voice box located in the throat, responsible for producing sound, protecting the airway during swallowing, and regulating breathing.