Find the Work Done by F Over the Curve in the Direction

question 94

Multiple Choice

Find the work done by F over the curve in the direction of increasing t.
- $$\mathbf { F } = 3 \mathrm { y } \mathbf { i } + \sqrt { \mathrm { z } } \mathbf { j } + ( 4 \mathrm { x } + 3 \mathrm { z } ) \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \mathrm { t } \mathbf { i } + \mathrm { t } ^ { 2 } \mathbf { j } + \mathrm { t } , 0 \leq \mathrm { t } \leq 2$$

• A) \(W = 22 + 20 \sqrt { 2 }\)
• B) \(W = 31 + 20 \sqrt { 2 }\)
• C) \(W = 22 + \frac { 16 \sqrt { 2 } } { 5 }\)
• D) \(W = 0\)

Understand and apply the first step in addressing an audible air leak in patients with an endotracheal tube.

Recognize the benefits of a properly inflated cuff with an endotracheal tube in mechanical ventilation.

Identify signs of a partially deflated cuff in patients with an endotracheal tube.

Apply appropriate intervention strategies to address redness and inflammation at a tracheostomy site.

---

Definitions:

Indigestion

A common digestive disorder causing discomfort or pain in the stomach area, often related to eating habits or stress.

Oxygen Saturation

The percentage of oxygen-carrying hemoglobin in the bloodstream relative to the total hemoglobin, measured to assess respiratory and circulatory efficiency.

Tracheostomy Tube

A tube inserted into a surgically created hole (tracheostomy) in the neck's trachea to facilitate breathing.

Airway Clearance

Techniques and therapies to help remove mucus and secretions from the lungs to improve breathing and prevent infection.