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

question 19

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.

• A) \(14.824\)
• B) \(7.2041\)
• C) \(15.8306\)
• D) \(6.5706\)
• E) None of these

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Definitions:

Melatonin

A hormone made by the pineal gland that regulates sleep and wakefulness.

Pituitary Gland

A small, pea-sized gland located at the base of the brain that produces hormones influencing various bodily functions.

Adrenal Gland

A small gland located above the kidneys that produces hormones such as adrenaline and cortisol, which are involved in stress response.

Broca's Area

An area located in the dominant hemisphere's frontal lobe, typically on the left side of the brain, associated with the generation of speech.