Use Differentials to Approximate the Arc Length of the Graph $\mathbf { P }$

question 30

Multiple Choice

Use differentials to approximate the arc length of the graph of the equation from $\mathbf { P }$ to $\mathbf { Q }$ . Round answer to four decimal places. Select the correct answer.
$$y = x ^ { 2 } + 3 ; \quad \mathrm { P } ( 3,12 ) , \quad \mathrm { Q } ( 3.2,13.24 )$$

• A) \(6.0828\)
• B) \(3.6497\)
• C) \(1.2166\)
• D) \(2.4331\)

---

Definitions:

Preserve Relationship

Efforts or actions taken to maintain and protect the quality and stability of a professional or personal relationship.

Face-To-Face Delivery

The process of presenting information or communicating directly with another person in the same physical space.

Nonverbal Cues

Communication methods not involving words, such as gestures, body language, and facial expressions, that convey meaning.

Immediate Feedback

Rapid response or evaluation provided soon after an action or process, crucial for learning and improvement.