Jack, the pool owner in Example 6.2.7, decides to use Simpsons rule to recalculate the surface area

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Jack, the pool owner in Example 6.2.7, decides to use Simpson’s rule to recalculate the surface area of his pool by making the following measurements across the pool in 6-ft intervals instead of the 4-ft intervals shown in Figure 6.6. What is the recalculated area?


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Data from Example 6.2.7


Jack needs to know the area of his swimming pool to buy a pool cover, but this is difficult because of the pool’s irregular shape. Suppose Jack makes the measurements shown in Figure 6.6 at 4-ft intervals along the base of the pool (all measurements are in feet). How can he use the trapezoidal rule to estimate the area?



Figure 6.6


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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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