Your Answer to Two Decimal Places $\frac { d y } { d x } = 16.00$

question 104

Multiple Choice

$\text { Evaluate } \frac { d y } { d x } \text { for the equation } x ^ { \frac { 4 } { 5 } } + y ^ { \frac { 4 } { 5 } } = 257 \text { at the given point } ( 1024,1 ) \text {. Round }$ your answer to two decimal places.

• A) \(\frac { d y } { d x } = 16.00\)
• B) \(\frac { d y } { d x } = 4.00\)
• C) \(\frac { d y } { d x } = - 0.25\)
• D) \(\frac { d y } { d x } = 0.25\)
• E) \(\frac { d y } { d x } = - 0.06\)

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Definitions:

Oral Airway

A medical device used to keep the patient's airway open and unobstructed, typically used in emergency situations and during anesthesia.

Postanesthesia Care Unit

A special area in a hospital where patients are monitored and cared for immediately after undergoing anesthesia for surgery until they are stable enough to leave.

Chest Drainage System

A medical apparatus used to remove air, fluid, or pus from the pleural space to help the lungs re-expand and facilitate breathing.

Shortness of Breath

A sensation of not being able to take a deep breath or feeling suffocated, often a symptom of underlying health issues such as heart or lung disease.