Find the Equation of the Tangent Line to the Graph $$f ( x ) = - 4 x ^ { 2 } + 7 x \text { at } ( 5,65 )$$

question 75

Multiple Choice

Find the equation of the tangent line to the graph of f at the given point.
- $$f ( x ) = - 4 x ^ { 2 } + 7 x \text { at } ( 5,65 )$$

• A) \(y = 2 x - 7\)
• B) \(y = - 4 x + 7\)
• C) \(y = - 33 x + 230\)
• D) \(y = - 8 x + 7\)

---

Definitions:

Respiratory Acidosis

A condition where there is an excess of carbon dioxide in the blood, leading to a lower pH level and causing the blood to become more acidic.

Arterial Blood Gas

Arterial blood gas is a blood test that measures the levels of oxygen and carbon dioxide in the blood from an artery, used to assess the effectiveness of a person's respiratory function.

Mechanical Ventilator

A device used to assist or control breathing by delivering air into the lungs.

Sputum Specimen

A sample of mucus and other materials expelled from the upper respiratory tract, collected for laboratory analysis.