The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.) m² 6.2 7.2 6.8 5.6 5.0 4.8 4.8 th of the
The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.) m² 6.2 7.2 6.8 5.6 5.0 4.8 4.8 th of the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as indicated in the figure.
Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.)
m²
6.2
7.2
6.8
5.6
5.0
4.8
4.8
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Please try again. Let x be the distance from the left side of the pool, measured in meters. Let f(x) be the width of the
pool at x. So, f(0) = f(b) = 0. Use Simpson's Rule to approximate
Tºt
f(x)dx.
For using Simpson's Rule, set up an equation for a parabola for the three points involved in each of the four pairs of
intervals. Use these parabolas to approximate the integral for each pair of intervals.
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