Use Simpson's Rule With $\mathrm { n } = 4$ To Estimate the Length of the Arc of the Curve

question 109

Multiple Choice

Use Simpson's Rule with $\mathrm { n } = 4$ to estimate the length of the arc of the curve with equations $x = \sqrt { t } , y = \frac { 4 } { t } , z = t ^ { 2 } + 1$ , from $( 1,4,2 )$ to $( 2,1,17 )$ . Round your answer to four decimal places. Select the correct answer.

• A) \(14.824\)
• B) \(7.2041\)
• C) \(15.8306\)
• D) \(6.5706\)

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Definitions:

Cavity

An empty or unfilled space within a solid object or body, often referring to holes in teeth caused by decay.

Contusion

A bruise resulting from blunt trauma, leading to bleeding under the skin without breaking the skin.

Bones

The stiff structures that make up a portion of the internal skeleton in vertebrates, offering support, safeguarding, and assisting in mobility.

Sagittal Suture

A fibrous joint that divides the human skull along the midline, connecting the two parietal bones.