?The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter

Chapter 5, Problem 56

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QUESTION:

The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as indicated in the figure. Use the Midpoint Rule to estimate the area of the pool.

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QUESTION:

The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as indicated in the figure. Use the Midpoint Rule to estimate the area of the pool.

ANSWER:

Step 1 of 3

It may help to see why we should use subintervals of width 4 in order to be able to use the given measurements with the midpoint rule if we write out a table of the values.  is the distance from the left end of the pool,  is the measurements in the book's diagram.

If we wanted  then we would need measurements at  which we don't have. Same thing with .

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