Use Simpson's Rule with N = 4 to Estimate the Length

question 13

Multiple Choice

Use Simpson's Rule with 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) \(7.4106\)
• D) \(6.5706\)
• E) None of these

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Definitions:

Hemolysis

The breaking down of red blood cells, releasing hemoglobin into the surrounding fluid, often indicating damage or disease.

Thick Skin

Skin in the palms, soles, and tips of the digits; has all five epidermal strata.

Friction

The resistance that one surface or object encounters when moving over another.

Dermis

The dermis is the thick layer of skin beneath the epidermis, containing nerve endings, sweat glands, hair follicles, and blood vessels, contributing to skin's flexibility and strength.