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

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
Enhanced Feedback
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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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 Enhanced Feedback 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. St- File ele } #we } .sta d P ba bo } .stat di ma High Ne
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