Determine the following as being either true or false.
Simpson’s rule could be used to find the approximate area in Example 1 of Section.
EXAMPLE 1
Application of trapezoidal rule
From a satellite photograph of Lake Ontario (as shown on page), one of the Great Lakes between the United States and Canada, measurements of the width of the lake were made along its length, starting at the west end, at 26.0-km intervals. The widths are shown in Fig. and are given in the following table.
Here, we see that y0 = 0.0 km, y1 = 46.7 km, y2 = 52.1 km, …, and yn = 0.0 km. Therefore, using the trapezoidal rule, the approximate area of Lake Ontario is found as follows:
The area of Lake Ontario is actually 19,477 km2.
Fig.
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