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The widths (in meters) of a kidney-shaped swimming pool were measured at 5-meter intervals as indicated in the figure. Use the Midpoint Rule with n= 4 to estimate the area S of the pool if a = 12.4, az = 14.4, ag = 13.6, a = 11.2, as = 10, as = 9.6, and ay = 9.6.

The widths (in meters) of a kidney-shaped swimming pool were measured at 5-meter intervals as indicated in the figure. Use the Midpoint Rule with n= 4 to estimate the area S of the pool if a = 12.4, az = 14.4, ag = 13.6, a = 11.2, as = 10, as = 9.6, and ay = 9.6.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter10: Rounding Decimal Fractions And Equivalent Decimal And Common Fractions
Section: Chapter Questions
Problem 1A: Find the decimal value of the distance A in Figure 10-1. Note the total unit value of the line.
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The widths (in meters) of a kidney-shaped swimming pool were measured at 5-meter intervals as indicated in the figure. Use the Midpoint Rule with n = 4 to estimate the area S of the pool if a, = 12.4, a, = 14.4, az3 = 13.6, a4 = 11.2, as = 10, as = 9.6, and az = 9.6. m2 a a, a, а, a a, a,
Transcribed Image Text:The widths (in meters) of a kidney-shaped swimming pool were measured at 5-meter intervals as indicated in the figure. Use the Midpoint Rule with n = 4 to estimate the area S of the pool if a, = 12.4, a, = 14.4, az3 = 13.6, a4 = 11.2, as = 10, as = 9.6, and az = 9.6. m2 a a, a, а, a a, a,
Expert Solution
Step 1

If f(x) is the width of the pool at  we have.

x 0 5 10 15 20 25 30 35 40
f(x) 0 12.4 14.5 13.6 11.2 10 9.6 9.6 0

Since n=4, considered points are 0,10 , 20, 30 and 40.

Therefore respective mid points are 5, 15, 25 and 35.

Determine the subinterval length.

∆x=b-an=40-04=10

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