Use Differentials to Approximate the Arc Length of the Graph $y=x^{2}+3$

question 16

Multiple Choice

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

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

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Definitions:

Fixed

A characteristic, value, or condition that remains constant and unchanged across different situations or over time.

Stable

Referring to something that is not likely to change or move; in psychology, it may refer to consistent personality traits or conditions.

Internal Attributions

The process of attributing the cause of one's own or another's behavior to internal, personal characteristics rather than to external factors.

External Attributions

The process of assigning the cause of behavior to some situation or event outside a person's control rather than to some internal characteristic.