Use Simpson's Rule With $n = 6$ To Estimate the Length of the Curve

question 90

Short Answer

Use Simpson's Rule with $n = 6$ to estimate the length of the curve $y = 3 \sin x , 0 \leq x \leq \pi$ . Round your answer to six decimal places.

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Definitions:

Climate

The long-term pattern of weather in a particular area, typically averaged over a period of 30 years.

Stream-Cut Canyon

A deep valley formed through the prolonged action of a stream cutting through the terrain, often displaying steep sides.

Downcutting

A process by which a stream or river erodes its bed, deepening it over time, often leading to the formation of canyons or valleys.

Dynamic Equilibrium

A condition of a system in approximate steady state where there is a balanced inflow and outflow of materials.