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

question 33

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:

Distribution

Describes the way values of a variable or data points are spread or dispersed across a range.

Degree Of Freedom

The number of independent pieces of information available to estimate another piece of information, often in statistical analysis.

Chi-Square Test

A statistical test used to determine if there is a significant association between two categorical variables.

Expected Cell Counts

Predicted frequencies in cells of a contingency table in statistics, assuming that the null hypothesis is true.